Jack rode his bike to school at 12 mph and then jogged back at 6 mph. If the round-trip took him six hours, how far was it to school?

Answers

Answer 1

Answer: 24 miles

Step-by-step explanation: 12 mph is two times as fast as 6 mph so 6 hours round trip is 2 hours for bike and 4 hours for jogging. You can either plug 2 for 12 (bike) or 4 for 6 (jog) either way you get 24

Answer 2

Answer:

24 miles

Step-by-step explanation:


Related Questions

there are 9 children in the classroom each student will get 6 pencils how many pencils will the teacher have to give out​

Answers

Answer: 54

Step-by-step explanation:

Answer:

The teacher will have to give out 54 pencils

Step-by-step explanation:

there 9 children in the class. each student gets 6 pencils.

9 times 6 = 54

A company opened in 1998 and turned a profit its first year. The company's revenues increased annually thereafter. Which of the
following functions could model this situation where x represents the number of years in operation, and f(x) represents the
company's annual revenue [in millions]?

Answers

Answer:

B. f(x) = 884 • [tex]1.22^{x}[/tex]

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo

My answer:

Given that:

A company opened in 1998 and turned a profit its first year, it means that the company has initial value in its function The company's revenues increased annually thereafter => it is an exponental function with the base number is greater than 1 x represents the number of years in operation => which means x is the domain of the company revenue functionf(x) represents the  company's annual revenue

The following functions could model this situation is:

B. f(x) = 884 • [tex]1.22^{x}[/tex] where:

884 is a profit its first year

1.22 growth rate in revenue

x  represents the number of years in operation

Hope it will find you well.

Marge and Kimo equally Shared 1/4 of a pie that was left over. What fraction of the original pie did each friend get? Use the picture to help you find the solution

Answers

Answer:

1/8

Step-by-step explanation:

1/4 divided by 2

Final answer:

Each friend received 1/8 of the original pie after equally sharing 1/4 that was left over.

Explanation:

Marge and Kimo equally shared 1/4 of a pie that was left over. To determine the fraction of the original pie that each friend got, we divide that 1/4 by two, since there are two people sharing it. So, each friend received 1/8 of the original pie.

Step-by-step explanation:

The leftover pie is 1/4 of the whole pie.Divide that 1/4 portion by 2 to share equally between Marge and Kimo.Dividing 1/4 by 2 gives us 1/8.Therefore, each friend gets 1/8 of the original pie.

1) What are the zeros of f(x) = (x + 4)(x – 7)?
Choose 1 answer:
® -4 and 7
®
4 and - 7
©
(-4,0) and (7,0)
0
(4,0) and (-7,0)

Answers

Final answer:

The zeros of the function f(x) = (x + 4)(x – 7) are x = -4 and x = 7. These values are where the function intersects the x-axis and can be expressed as points (-4, 0) and (7, 0) on a graph.

Explanation:

To find the zeros of the function f(x) = (x + 4)(x – 7), we need to determine the values of x that make f(x) equal to zero. This means each factor in the product must be set equal to zero and solved for x individually.

Setting the first factor equal to zero gives us x + 4 = 0, which simplifies to x = -4.

Similarly, setting the second factor equal to zero gives us x – 7 = 0, which simplifies to x = 7. Thus, the zeros of the function are x = -4 and x = 7.

These can be written as the ordered pairs (-4,0) and (7,0) when we consider them as points on the Cartesian plane where the function intersects te x-axis.

The correct choice from the options provided would be -4 and 7, which corresponds to the first option.

It is not necessary to provide the y-coordinates when identifying the zeros of a function, as by definition, they are points where the y-value is zero.

Add mix numbers Madison made a fruit salad . She used 3 1 fourth cups of straw berries and 2 1 fourths cups of blueberries. How many cups of berries did Madison use?

Answers

Answer:

1 1/4

Step-by-step explanation:

For the strawberries, we will have to multiply 3 by 1/4 to get the total amount of strawberries used.

1/4 * 3 = 3/4

For the blueberries, we will have to multiply 2 by 1/4 to get the total amount of blueberries used.

1/4 * 2 = 2/4

Simplify that to get 1/2

Now we need to add 3/4 and 1/2

3/4 + 1/2 = 5/4

Simplify that and we get our answer;

1 1/4

What value of c makes x2 − 24x + c a perfect square trinomial?

Answers

Answer: 144

Step-by-step explanation: To find a value of c that would make this a perfect square, take -24 and divide it by 2 to get -12. Next, simply square -12 to get 144.

x^2 - 24x + 144 can be factored into (x - 12)(x - 12)

Answer:

144 is the correct answer

James has an ice cube tray that makes ice in the shape of spheres rather than cubes. Each sphere of ice has a
radius of 2 cm. One tray makes 6 spheres.
What is the total volume of ice the tray can make at one time?
Either enter a exact answer in terms of IT or use 3.14 for T.

Answers

Each sphere of ice has a radius of 2cm

one tray makes 6 spheres

What is the total volume of ice the tray can make at one time?

Total volume of each sphere is 33.51 cm^3

The tray can hold 6 of these at a time

33.5 * 6

201 cm^3 total volume of ice that the tray can make at one time

Written in pi 

64  cm^3

Read more on Brainly.com - https://brainly.com/question/8790068#readmore

Answer: Its 64[tex]\pi[/tex]!!!

Step-by-step explanation:

Urgent!!! What is the volume of this rectangular prism? Picture provided.
A: 15/2x
B: 3x+12/2x+8
C: 15/2x+2
D: 15/8

Answers

Answer:

V = [tex]\frac{15}{2x}[/tex]

Step-by-step explanation:

Using the volume formula

V = [tex]\frac{12}{x}[/tex] × [tex]\frac{x+4}{4}[/tex] × [tex]\frac{5}{2x+8}[/tex] ← cancel 12 and 4 by 4 and factor 2x + 8

   = [tex]\frac{3}{x}[/tex] × [tex]\frac{x+4}{1}[/tex] × [tex]\frac{5}{2(x+4)}[/tex] ← cancel (x + 4) on numerator/denominator

  = [tex]\frac{3}{x}[/tex] × 1 × [tex]\frac{5}{2}[/tex]

  = [tex]\frac{15}{2x}[/tex]

whats the nameof people that steal kids called

Answers

Answer:

Kidnappers

Step-by-step explanation:

Answer:

kidnappers

Step-by-step explanation:

In the given diagram, what is the measure of ∠ABC of parallelogram ABCD?

Answers

Answer: C) 136 degrees

The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.

The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.

If x is the measure of angle ADC, then

44+(angleADC) = 180

44+x = 180

x = 180-44

x = 136

angle ADC = 136 degrees

For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.

Answer: C. 136 degrees

Step-by-step explanation:

From the diagram, angle C is a right angle because it is formed by a perpendicular line. It means that

Angle BCD + 46 = 90

angle BCD = 90 - 45 = 44 degrees

The opposite angles in a parallelogram are equal while the adjacent angles are supplementary. Angle ABC and angle BCD are supplementary and the sum of supplementary angles is 180 degrees. Therefore,

Angle ABC + 44 = 180

Angle ABC = 180 - 44

Angle ABC = 136 degrees

What is the interest on $3,500 borrowed for two years at 2.5% interest?

Answers

Answer:

turn the percentage into a decmial and then multiply the money

Circle O is shown. Line segments A O and B O are radii. The length of O B is 16 inches. Angle A O B has a measure of StartFraction pi Over 4 EndFraction In circle O, angle AOB measures radians. What is the length of arc AB? π in

Answers

Answer:

4

Step-by-step explanation:

edg

Answer:

4

Step-by-step explanation:

i just got it right

For every four dollars that jamie saves in her account , her sister saves five dollars in her account . If Jamizne has $20.00 in her account, how much money does her sister have in her account?

Answers

Final answer:

By using the ratio of 4:5 for the amounts that Jamie and her sister save, we calculate that since Jamie has $20, her sister has $25 in her account.

Explanation:

To find out how much money Jamie's sister has in her account, we need to first understand the ratio of the amounts they save. For every four dollars that Jamie saves, her sister saves five dollars. This gives us a ratio of 4:5.

Since Jamie has $20 in her account, we can determine how many times four dollars fits into twenty dollars to find out how many 'units' of savings Jamie has made. We do this by dividing 20 by 4, which equals 5. So, Jamie has saved 5 units of 4 dollars each.

Knowing that each unit for Jamie's sister is $5, we calculate the total amount for her sister by multiplying 5 units with the sister's $5, which equals $25. Therefore, Jamie's sister has $25 in her account.

Final answer:

For every $4 Jamie saves, her sister saves $5. Jamie has $20, which is equal to 5 units of $4. Therefore, Jamie's sister has saved 5 units of $5, which amounts to $25.

Explanation:

The question asks how much money Jamie's sister would have in her account, given that Jamie has $20 and for every four dollars that Jamie saves, her sister saves five dollars. To find the amount Jamie's sister has saved, we use the ratio of their savings. Since Jamie has $20 and saves $4 for every $5 her sister saves, we can calculate the amount Jamie's sister has saved using the following steps:

First, determine how many 'four dollar' units Jamie has saved. She has saved $20, so that's $20/$4 = 5 units.

Since Jamie's sister saves $5 for each of these units, we multiply the number of units by $5 to find her savings, which is 5 units * $5/unit = $25.

Therefore, Jamie's sister has $25 in her account.

A rectangular prism aquarium holds 64 gallons of water. A similarly shaped aquarium holds 8 gallons of water. If a 1.5 ft2 cover fits on the smaller tank, what is the area of a cover that will fit on the larger tank

Answers

Answer:

The area of a cover that will fit on the larger tank is 6 square inches

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its Volumes is equal to the scale factor cubed

Let

z ---> the scale factor

so

[tex]z^3=\frac{64}{8}=8[/tex]

[tex]z=2[/tex]

step 2

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ---> the scale factor

x ---> the area of a cover that will fit on the larger tank

y ---> the area of a cover that will fit on the smaller tank

so

[tex]z^2=\frac{x}{y}[/tex]

we have

[tex]z=2\\y=1.5\ ft^2[/tex]

substitute the given values

[tex]2^2=\frac{x}{1.5}[/tex]

solve for x

[tex]x=4(1.5)=6\ ft^2[/tex]

Final answer:

The area of the cover that will fit on the larger aquarium is approximately 12 square feet, calculated by multiplying the area of the smaller cover by the square of the scaling factor for linear dimensions (≈ 2.83) due to the difference in volume.

Explanation:Understanding Area Scaling in Rectangular Prisms

To find the area of a cover that will fit on the larger aquarium, we begin by understanding that the area scales by the square of the linear dimensions.

Since the volume of the larger aquarium is 64 gallons and the smaller one is 8 gallons, the volume scales by a factor of 64/8 = 8. Taking the square root of 8 gives us the scaling factor for the linear dimensions, which is sqrt(8) ≈ 2.83. The larger tank's cover will therefore need to increase by this scaling factor squared for its area.

To calculate the area of the larger tank's cover, we multiply the area of the smaller cover by this scaling factor squared: 1.5 ft2 * 2.832 ≈ 12 ft2. Thus, the cover for the larger tank should be approximately 12 ft2 in area. This demonstrates the concept that area is proportional to the square of the linear dimensions when scaling similar shapes.

solve for x. Round to the nearest hundredth​

Answers

Given:

The given triangle is a right angled triangle.

One of the angle is 64° and the length of one of the leg is x.

The length of the hypotenuse is 28.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

[tex]cos \ \theta=\frac{adj}{hyp}[/tex]

where [tex]\theta= 64[/tex], adj = x and hyp = 28

Substituting the values, we get;

[tex]cos\ 64=\frac{x}{28}[/tex]

Multiplying both sides by 28, we have;

[tex]cos \ 64 \times 28=x[/tex]

 [tex]0.438\times 28=x[/tex]

       [tex]12.264=x[/tex]

Rounding off to the nearest hundredth, we get;

[tex]12.26=x[/tex]

Therefore, the value of x is 12.26

Please Help!!!!! 17 Points!!!!!!! I don't know if I have the right answer.

Answers

Answer:

SAS

Step-by-step explanation:

The sides have the same ratio and the angle between them is congruent, so it's SAS

What is the product? StartFraction 2 y Over y minus 3 EndFraction divided by StartFraction 4 y minus 12 Over 2 y + 6 EndFraction

Answers

To simplify the expression, first rewrite the fractions:[tex]\( \frac{2y}{y - 3} \) and \( \frac{2(y - 3)}{y + 3} \)[/tex]. Then, divide the first fraction by the reciprocal of the second, yielding[tex]\( \frac{2y}{y - 3} \).[/tex]

let's simplify the expression:

[tex]\[ \frac{\frac{2y}{y - 3}}{\frac{4y - 12}{2y + 6}} \][/tex]

First, we'll simplify the fractions within the larger fractions:

[tex]\[ \frac{2y}{y - 3} = \frac{2y}{y - 3} \times \frac{(y - 3)}{(y - 3)} = \frac{2y(y - 3)}{(y - 3)^2} = \frac{2y^2 - 6y}{y^2 - 6y + 9} \][/tex]

[tex]\[ \frac{4y - 12}{2y + 6} = \frac{4(y - 3)}{2(y + 3)} = \frac{2(y - 3)}{y + 3} \][/tex]

Now, we'll divide the first fraction by the second fraction. This is equivalent to multiplying by the reciprocal:

[tex]\[ \frac{\frac{2y^2 - 6y}{y^2 - 6y + 9}}{\frac{2(y - 3)}{y + 3}} = \frac{2y^2 - 6y}{y^2 - 6y + 9} \times \frac{y + 3}{2(y - 3)} \][/tex]

Now, let's cancel out common factors:

[tex]\[ = \frac{2y(y + 3)}{(y - 3)(y + 3)} \times \frac{y + 3}{2(y - 3)} \][/tex]

[tex]\[ = \frac{2y}{y - 3} \][/tex]

So, the simplified expression is [tex]\( \frac{2y}{y - 3} \).[/tex]

Which unit of measurement can be used to express the volume of this prism

Answers

The unit of measure used to express the volume of a prism is  cubic units correct option is c.

Volume refers to the amount of space occupied by a three-dimensional object. A prism, being a three-dimensional shape with length, width, and height, necessitates a measurement that encapsulates all three dimensions.

Prisms have a base shape that repeats through their height. Calculating volume involves finding the space enclosed within this repeating shape. By multiplying the area of the prism's base by its height.

Cubic units represent the volume of an object, akin to how square units represent area. They measure the number of unit cubes needed to fill the three-dimensional space within the prism. This measurement allows for precise quantification of space in a three-dimensional context.

complete the question

Which unit of measure can be used to express the volume of the prism?

a) unit squares

b) square units

c) cubic units

 d)  units

Find the length of the intercepted arc with a central angle of measure θ=π/6 on a circle with radius r = 3. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 3

θ = π/6

2π = 360 degrees

π = 360/2 = 180

Therefore,

θ = 180/6 = 30 degrees

Therefore,

Length of arc = 30/360 × 2 × 3.14 × 3

Length of arc = 1.6 to the nearest tenth

Final answer:

To find the length of the intercepted arc on a circle with radius 3 and a central angle of π/6, calculate using the formula s = rθ. The result is approximately 1.6 units after rounding to the nearest tenth.

Explanation:

The question asks to find the length of the intercepted arc given a central angle of measure θ=π/6 on a circle with radius r = 3 and to round the answer to the nearest tenth. To calculate the arc length (θ), we use the formula s = rθ, where θ is measured in radians. Given θ=π/6 and r=3, the arc length s is therefore 3*(π/6)= π/2. To get a numerical answer, substitute π with approximately 3.14159, resulting in s = (3*3.14159)/6 which simplifies to s ≈ 1.57. Rounding to the nearest tenth gives us an arc length of 1.6 units.

A fair coin is flipped eight times. What is the probability of the coin landing heads up exactly 2 times?

Answers

Answer:

50%

Step-by-step explanation:

no matter how many times it is flip you will get heads or tails.

Answer:

50%

Step-by-step explanation:

two sides 1/2= 50%

What two numbers multiply to be 72 and add up to be 27

Answers

Answer:

9x8=72 and 25+2=27

Step-by-step explanation:

1x9=9

2x9=18

3x9=27

4x9=36

5x9=45

6x9=54

7x9=63

8x9=72

brainleist please i really need it

The mean absolute deviation is 0.1 what conclusions can be drawn A. The data points are closer to the media. B. The data points are far from the median C. The data points are far from the mean D. The data points are close to the mean

Answers

Answer:

D. The data points are close to the mean

Step-by-step explanation:

given data

mean absolute deviation = 0.1

The mean absolute deviation is the average of the absolute deviations of the data points relative to the mean. This means that the mean absolute deviation is averaged through the data, telling how far each data point is. The small value of the mean absolute deviation indicates that the mean difference (absolute deviation) between the data points and the mean is small and therefore the data points are close to the mean. The large value of the mean absolute deviation indicates that the data points are far above the mean. so correct option is D. The data points are close to the mean

A wedding cake has two layers, as shown. Each layer is in the shape of a cube. The bottom of the cake and the area where the two cakes meet is not frosted. What is the area of the cake that is frosted? Show and explain your work.

Answers

The area of the cake that is frosted is 464 in²

What is the area of the cake that is frosted?

Bottom cake = 10 inches

Top cake = 6 inches

The lateral area of the bottom cube is 4 faces, each of which is a 10-inch square.

Lateral area = 4 × s²

= 4 × (10 in)²

= 400 in²

Top cube

The top area is the difference in area between a 10-inch square and a 6-inch square;

= (10 in)² - (6 in)²

= (100 -36) in²

= 64 in²

Therefore,

Area of the cake frosted = the sum of the lateral area and the top frosted area.

Area of the cake frosted = 400 in² +64 in²

= 464 in²

A rectangular photograph is 7 inches long and 6 inches wide. The photograph is framed using a material that is x inches wide. If the area of the frame and photograph combined is 156 square inches, what is the width of the framing material

Answers

Answer:

The width of the framing material is 3 inches

Step-by-step explanation:

we know that

The area of the frame and photograph combined is given by the expression

[tex]156=(7+2x)(6+2x)[/tex]

solve for x

Expanded the expression

[tex]156=42+14x+12x+4x^2\\4x^2+26x+42-156=0[/tex]

[tex]4x^2+26x-114=0[/tex]

solve the quadratic equation by graphing

using a graphing tool

The solution is x=3 in

see the attached figure

therefore

The width of the framing material is 3 inches

The width of the framing material is [tex]\( x = 3 \)[/tex] inches

Given:

- Length of the photograph = 7 inches

- Width of the photograph = 6 inches

- Width of framing material = x inches

- Area of frame and photograph combined = 156 square inches

The total length of the framed photograph would be [tex]\( 7 + 2x \)[/tex] inches, and the total width would be [tex]\( 6 + 2x \)[/tex] inches.

So, the area of the framed photograph is the product of its total length and total width:

[tex]\[ \text{Area of framed photograph} = (7 + 2x)(6 + 2x) \][/tex]

Given that the area of the framed photograph is 156 square inches, we set up the equation:

[tex]\[ (7 + 2x)(6 + 2x) = 156 \][/tex]

Expanding and simplifying:

[tex]\[ 42 + 14x + 12x + 4x^2 = 156 \][/tex]

[tex]\[ 4x^2 + 26x + 42 = 156 \][/tex]

[tex]\[ 4x^2 + 26x - 114 = 0 \][/tex]

Now, let's solve this quadratic equation for x . We can simplify it by dividing all terms by 2:

[tex]\[ 2x^2 + 13x - 57 = 0 \][/tex]

Using the quadratic formula:

[tex]\[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]

Where:

- a = 2

- b = 13

- c = -57

Plugging in the values:

[tex]\[ x = \frac{{-13 \pm \sqrt{{13^2 - 4(2)(-57)}}}}{{2(2)}} \][/tex]

[tex]\[ x = \frac{{-13 \pm \sqrt{{625}}}}{{4}} \][/tex]

[tex]\[ x = \frac{{-13 \pm 25}}{{4}} \][/tex]

So, we have two possible solutions for x:

[tex]\[ x_1 = \frac{{-13 + 25}}{{4}} = 3 \][/tex]

[tex]\[ x_2 = \frac{{-13 - 25}}{{4}} = -9 \][/tex]

Since the width of the framing material cannot be negative, we discard [tex]\( x_2 \).[/tex]

Therefore, the width of the framing material is [tex]\( x = 3 \)[/tex] inches.

In her class of 10 girls and 8 boys, the teacher has to select 1 girl AND 1 boy. In how many ways can she make her selection? PLZ CORRECT ANSWER FOR TEST!
A.3060
B.5040
C.1260
D.73

Answers

Answer:

The answer is A

Step-by-step explanation:

Tristan spends a total of $38.75 on 5 drinks and 2 bags of popcorn. Noah spends a total of $37.25 on 3 drinks and 4 bags of popcorn. Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Answers

Answer:

We use Simultaneous Equation to express the problem

From the equation, a bag of popcorn will cost $5

Step-by-step explanation:

We can represent drink with d and bad of popcorn with p

If Tristan spent $38.75 on 5 drinks and 2 bags of popcorn, the we can interpret it as

5d + 2p = 38.75 ....................... eqn 1

And if Noah spent $37.25 on 3 drinks and 4 bags of popcorn, we can interpret it also as

3d + 4p = 37.25 ........................ eqn 2

This is now a Simultaneous Equation

Since we are to state the price of a bag of popcorn, then we can use the elimination method to eliminate d and solve for p

To do this, Multiply eqn 1 by 3 and eqn 2 by 5

(5d + 2p = 38.75)*3

(3d + 4p = 37.25)*5

The we will have

15d + 6p = 116.25 .......................... eqn 3

15d + 20p = 186.25 ...................... eqn 4

If we subtract eqn 3 from eqn 4, we will have

14p = 70

Divide both sides by 14 to get the value of p, and we will have

p = 70/14

p = 5

Therefore a bag of popcorn equals to $5


Use Cramer's Rule to find the determinant of the coefficient matrix of this system of equations.

Answers

Answer:

Determinant = -12

Step-by-step explanation:

rewrite the system as

-2 =  2x - 3y  + 0z

0 =  0x +  y - 2z

1 =  -3x + 2y   - z

then the coefficient matrix is

{  [2,  -3,   0]

  [0,   1,    -2]

  [-3,  2,   -1]  }

to find determinant

{  [2,  -3,   0]    ,   2,    -3

  [0,   1,    -2]   ,    0,     1

  [-3,  2,   -1]  },     -3,     2

determinant  =   2*1*-1  +  (-3 * -2 * -3)  +   (0*0*2)  -  0  -  (2*-2*2)  - 0

determinant = -2  - 18  + 0  - 0 + 8 =   -12

Josh's grandparents put $3,000 into a college savings account when he was born. The account earns 6% interest per year. How long will it take before he has $15,000?

Answers

Answer:

Therefore it will take 28 years.

Step-by-step explanation:

To find the years, we use the following formula,

[tex]A=P(1+r)^n[/tex]

A= Total balance after n years

P= Initial amount.

r= Rate of interest per year.

n = Time in years.

Given that, Josh's grandparents put $3,000 into a college saving account when he was born. The account earn 6% interest per years.

Here A=$15,000,P=$3,000, r=6%=0.06 ,n=?

[tex]\therefore 15,000=3,000(1+0.06)^n[/tex]

[tex]\Rightarrow (1.06)^n=\frac{15,000}{3,000}[/tex]

[tex]\Rightarrow (1.06)^n=5[/tex]

Taking ln both sides

[tex]\Rightarrow ln(1.06)^n=ln(5)[/tex]

[tex]\Rightarrow n=\frac{ln(5)}{ln(1.06)}[/tex]

[tex]\Rightarrow n\approx 28[/tex]

Therefore it will take 28 years.

Explain how the exterior angle relates to the interior angles.

Answers

Answer: The exterior angle, D, is supplementary to the adjacent interior angle, C. Together, they form a straight line, measuring 180°. The measure of the remote interior angles, A and B are equal to the measure of the exterior angle D.

Step-by-step explanation: I just did the assignment.

Answer:

Sample answer: The exterior angle, D, is supplementary to the adjacent interior angle, C. Together, they form a straight line, measuring 180°. The measure of the remote interior angles, A and B are equal to the measure of the exterior angle D.

Step-by-step explanation:

The shoes still have a marginal cost of $25. You want to earn a profit, so you charge a price of _
525
$10
$50

Answers

Answer:

$50

Step-by-step explanation:

Let's write an equation to solve:

We can represent the profit as "p"

In that case, we have:

(p - 25) = 35

Adding 25:

p = 25.

If you charge 50, you will get 25 dollars back.

If you charge 10, you will get no profit.

Thus, the answer is $50.

Other Questions
a building measure 8.4m wide by 9.3 the rest is in picture sarah has 12 rubber band bracelets five of the bracelets are blue 1/6 of the bracelets are green the rest are red how many bracelets are red what are the 3 main mechanisms responsible for genetic variation In the right triangle shown, \angle B = 60^\circB=60 angle, B, equals, 60, degrees and AB = 12AB=12A, B, equals, 12.How long is ACACA, C?Answer exactly, using a radical if needed. Mimi makes a table about the two types of beta decay. A 5 column table with 2 rows. The first column is labeled type of decay with entries beta plus and beta minus. The second column is labeled particle released with entries positron and electron. The third column is labeled change to nucleus with entries proton changes to neutron and neutron changes to proton. The fourth column is labeled change to mass number with entries no change and decrease by 1. The last column is labeled change to atomic number has entries decrease by 1 and increase by 1. 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Amount Per Unit Sales $ 11,256,000 $ 28.00 Cost of goods sold 6,834,000 17.00 Gross margin 4,422,000 11.00 Operating expenses 482,400 1.20 Operating profits $ 3,939,600 $ 9.80 The cost of goods sold includes $1,380,000 of fixed manufacturing overhead; the operating expenses include $118,000 of fixed marketing expenses. A special order offering to buy 68,000 units for $16.95 per unit has been made to Magna. Fortunately, there will be no additional operating expenses associated with the order and Magna has sufficient capacity to handle the order. How much will operating profits be increased if Magna accepts the special order? Dr. Saul treated Frederick for chronic bronchitis, but it was later proven that Frederick actually had emphysema. This mistakein determining what was wrong with Frederick isan imaging error.a diagnostic errora medication error.a surgical error The following are true statements about distributive bargaining except:a. It is confrontational and focused on the short term. b. It can resolve disputes. c. It tends to provide outcomes that satisfy all parties. d. It often reduces the satisfaction of one or more negotiators. Weight of MaleDogs (lb.)stemsWhat is the general shape of the data?skewedsymmetricconstantmany peaks and valleysDONEleaves8|1 represents 81 Filtered fluid leaving the glomerular capillaries immediately enters the What is the measure of 3 if cd ? Atmospheric carbon dioxide levels have been increasing gradually for many years. Scientists cite this increase as one of the main causes of climate change, which is a serious environmental problem for people all over the world. One component of a possible engineering solution to this problem is to use plants, algae, or phytoplankton to increase the global rate of photosynthesis. What scientific reasoning provides evidence that this solution could be effective? A. Plants and other photosynthetic organisms change into fossil fuels over time.B. Photosynthesis traps carbon dioxide in the soil.C. Photosynthesis acts to remove carbon dioxide directly from the atmosphere.D. Plants and other photosynthetic organisms provide food for consumers, who perform cellular respiration. False: The highest oxidation state for hydrogen in this reaction is 0 False: The oxidation state of chromium in dichromate is 3. False: The iron half-reaction takes place in an acidic solution. True: The oxidation state of oxygen does not change. False: The oxidizing agent is Cr3 (aq) False: The reducing agent is Fe2 (aq) How did the boundaries drawn up by European colonizers affect Africaa. they stabilized many political systemsb. They decreased ethic diversityc. They led to civil rightsd. They established a single market Hola, clase. Vamos a hacer un pastel de chocolate. Para ______________ (hornear) un pastel de chocolate, necesitas paciencia y cuidado. Primero, tienes que ______________ (mezclar) la harina, el cacao, la sal y la levadura. ______________ (batir, formal) la mantequilla con el azcar, por favor. Emanuel, ______________ (aadir, informal) la vainilla a los huevos pero no ______________ (agregar, informal) todos los huevos al mismo tiempo. ______________ (batirlos, informal) bien. Seora Pascal y Felipe, ______________ (aadir, formal) la mantequilla con la leche hasta formar una masa suave, por favor. Entonces, ______________ (verter, formal) la masa en un molde y ______________ (ponerlo, formal) en el horno. Karen will be traveling out of town for business during her travel she scheduled to have three dinner for lunch and to breakfast for employee will pay her for this meal at the following rate 20.15 for dinner 12.30 for lunch and 6 .37 for breakfast what is the total will be paid for this meals? This question has two parts. First answer Part A. Then answer Part B. Part A Based on the play Not a Cloud in the Sky, which statement best describes Thomass point of view about moving to the city? A He doesnt understand why Alec is so excited to move. B He is afraid to move but is making the best of the situation. C He thinks the move to the city will be a very good thing. D He is sorry to leave the old home with all of its memories.