Suppose your new business made a profit during the first year of $3000. If the profit increased 12% per year, find the total of all profit earned by the end of the first 5 years.

Answer:

Part 1: 8 km per liter

Part 2: 0.125 liters per km

Step-by-step explanation:

Part 1:

6x=48

x=48/6

x=8

Part 2:

8km per liter

?liters per km

1/8 = 0.125

0.125 liters per kilometer

Final answer:

The best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.

Explanation:

To find the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) written in scientific notation, you need to multiply the coefficients and add the exponents.

The product of 6.3x 10⁻² and 9.9 x 10⁻³ can be calculated as (6.3 x 9.9) x (10⁻² x 10⁻³). The coefficients multiply to give 62.37 (approximately), and the exponents add to give -5.

Therefore, the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.

Answer:

Vertex of parabola

Step-by-step explanation:

The red dot shows the extreme of parabola that is known as vertex.

Answer:

610 and 970

Step-by-step explanation:

Answer:

610 and 970

Step-by-step explanation:

Answer:

A) 0.685

Step-by-step explanation:

P(no snow) = 1 - P(snow)

1 - 0.315

0.685

Answer: Angles who share the same initial side and terminal sides.

Answer:

1.17e+16

hope this helps! (if right pls mark brainy) thanks!

Given Information:  

standard deviation = σ = 15 ft²

Confidence interval = 95%

Margin of error = 2.5 ft²

Required Information:  

Sample size = n = ?

Answer:

Sample size = n ≈ 139

Step-by-step explanation:  

The required number of observations can be found using ,

Me = z(σ/√n)

Where Me is the margin of error, z is the corresponding z-score of 95% confidence interval, σ is the standard deviation and n is the required sample size.

Rearrange the above equation to find the required number of sample size

√n = σz/Me

n = (σz/Me)²

For 95% confidence level, z-score = 1.96

n = (15*1.96/2.5)²

n = 138.29

since the sample size can't be in fraction so,

n ≈ 139

Therefore, a sample size of 139 would be needed.

Answer:

c

Step-by-step explanation:

plz mark me brainlesssss

Answer:

x=31

Step-by-step explanation:

The interior angles of a triangle must add to 180 degrees, so

81+68+x=180

Add on the left

149+x=180

Now, solve for x by getting it by itself. To do this, subtract 149 from both sides

149-149+x=180-149

x=31

Answer:

Ann=£38

Bill=£171

Chloe=£95

Dave=£95

Step-by-step explanation:

By the information provided we can create an equation:

[tex]2x+9x+2*5x=399\\11x+10x=399\\21x=399\\x=19[/tex]

Now that we know x, we multiply it correspondingly.

For Ann -> 2*19=38

Bill -> 9*19= 171

Chloe and Dave have the exact same amount each (because they both have 2.5 times the amount Ann's money)

Chloe/ Dave -> 5*19=95 each.

The number of  liters of solution in all is there in the test tubes is 2.25L, the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

Edwin fills 15 test tubes with a solution.

Each test tube contains 150 milliliters of solution.

Now,

The solution in all the tubes=150ml x 15

=2250ml

To convert it in liters

=2250/1000

=2.250L

Therefore, by algebra the answer will be 2.250L.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ6

Answer:

adult $5

child $12

Step-by-step explanation:

make the adult as x and child as y.

this will makes 6x + 6y = 102

12x + 3y = 96

solve it and the answer comes out.

Answer:

2/3

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

For the equation to be equivalence then it must be

Reflexive, Symmetric and transitive

since |A|=|B|;  

Every element in A is in B then R is reflexive

If f(1) = g(1), then g(1) = f(1), so R is symmetric.

If f(1) = g(1) and g(1) = h(1), then f(1) = h(1), so R is transitive.

R is reflexive, symmetric, and transitive,

thus R is an equivalence relation.

Answer:

is the answer 0

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

2+2-1+4x4-12-7

4-1+4x4-12-7

3+4+4x4-12-7

7+4x4-12-7

11x4-12-7

44-12-7

32-7

25

hope help :) .^.

Answer:

Between 36 and 38

Answer:

girl, is that USA Test Prep???

im doing that also!!

i think its between 36 and 38 basically.

Step-by-step explanation:

hope it helps i guess!! <33

Answer:

y = (3x² + x - 2)/(x² - 1)

Step-by-step explanation:

(x - 1)(x + 1) = x² - 1

In the denominator

f(x)/(x² - 1)

f(x) has a factor (x + 1)

3 + (x + 1)/(x² - 1)

(3x² - 3 + x + 1)/(x² - 1)

y = (3x² + x - 2)/(x² - 1)

Answer:

There are 25 red flowers in the garden.

Step-by-step explanation:

In this problem we have a common issue where the number is repeated 3 times in questions. So I'll sove it using the ratio 5 reds to 10 yellows and the data that there are 75 yellows and red flowers in the garden.

Since we know that for every 5 red flowers in a garden there are 10 yellow ones, then the ratio of yellow flowers to red flowers is

ratio = red/yellow = 5/10 = 1/2

yellow = 2*red

Since there are 75 yellow and red flowers in the garden we have:

yellow + red = 75

2*red + red = 75

3*red = 75

red = 75/3 = 25

There are 25 red flowers in the garden.

Answer:

25

Step-by-step explanation:

Answer:

The x intercept is (7/5,0)

Step-by-step explanation:

y=−5x+7

To find the x intercept, set y=0 and solve for x

0 = -5x+7

Subtract 7 from each side

0-7 = -5x+7-7

-7 = -5x

divide each side by -5

-7/-5 = -5x/-5

7/5 =x

The x intercept is (7/5,0)

Answer:

The total income after 29 days is $16,106,127.33

Step-by-step explanation:

This is a geometric progression with the first element being 0.03 and the ratio is 2. So if we want to know the total income after 29 days we can use the formula for the sum of elements in a series of that kind, this is given by:

sum(29 elements) = [(first element)*(1 - r^(29))]/(1 - r)

sum(29 elements) = [0.03*(1 - 2^(29))]/(-1)

sum(29 elements) =(0.03*(-536870911))/(-1)

sum(29 elements) = -16106127.33/(-1) = 16106127.33

The total income after 29 days is $16,106,127.33

Answer:

the answer is C. (1/7)

Step-by-step explanation:

I did it on edge

Answer:

a) 32, 52

b) 18n

Step-by-step explanation:

a)

12+20=32

20+32=52

b)

4th element = 3n+4n=7n

5th element = 4n+7n=11n

6th element = 7n+11n=18n

Answer:

a) 32, 52  

b) 18n

Step-by-step explanation:

because 7n+n

3n+7

4

Answer:

x =(3-√37)/2=-1.541

x =(3+√37)/2= 4.541

Step-by-step explanation:

to long to explain sorry but trust me

Answer:

The answer to your question is below

Step-by-step explanation:

Data

Equation     x² + 3x + 7 = 0

Let's solve this equation by two methods.

1) Completing the perfect square trinomial

                 x² + 3x      = -7

                 x² + 3x + (3/2)² = -7 + (3/2)²

                (x + 3/2)² = -7 + 9/4

                 (x + 3/2)² = -19/4

                 x + 3/2 = √-19/√4

                 x = -3/2 + √-19/2         It has imaginary solutions.

2.- Graph the equation

See the graph below.

In the graph we notice that the equation does not cross the x-axis so it does not have real solution.

Answer:

3 feet

Step-by-step explanation:

GIVEN: A filing cabinet has a height of [tex]6\text{ feet}[/tex] and a length of [tex]2\text{ feet}[/tex]. The volume of the filing cabinet is [tex]36\text{ feet}^3[/tex].

TO FIND: What is the width of the filing cabinet.

SOLUTION:

Let the width of filing cabinet be [tex]x\text{ feet}[/tex]

length of filing cabinet  [tex]=6\text{ feet}[/tex]

height of filing cabinet  [tex]=2\text{ feet}[/tex]

Volume of filing cabinet [tex]=\text{length}\times\text{height}\times\text{width}=36\text{ feet}^3[/tex]

putting values,

[tex]6\times2\times x=36[/tex]

[tex]12\times x=36[/tex]

[tex]x=3[/tex]

Hence the width of filing cabinet is 3 feet.

Answer:

C is the answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Monthly deposit, P = $776.41

Step-by-step explanation:

Interest rate per annum = 5.5%

number of years = 25

Since she pays monthly, number of payments per annum = 12

Interest rate per period, r = (Interest rate per annum)/(number of payments per annum)

r = 5.5%/12 = 0.46%

Number of periods, n = number of years * number of payments per annum

n = 25 * 12 = 300

Future value of annuity, FVA = $500,000

Monthly deposit will be:

[tex]P = \frac{(FVA) * r}{(1+r)^{n} -1} \\P = \frac{(500000) * 0.46/100}{(1+0.46/100)^{300}-1 }[/tex]

P = $776.41

Answer:

MP = $778.77

she should put $778.77 into the account each month

Step-by-step explanation:

This problem can be solved using the compound interest formula;

FV = MP{[(1+r/n)^(nt) - 1]/(r/n)} .......1

Where;

FV = Future value

MP = monthly contribution

r = yearly rate

n = number of times interest is compounded per year.

t = number of years

Given

FV = $500,000

t = 25 years

r = 5.5% = 0.055

n = 12 months/year

From equation 1, making MP the subject of formula;

MP = FV/{[(1+r/n)^(nt) - 1]/(r/n)}

Substituting the given values we have;

MP = 500,000/(((1+0.055/12)^(12×25) -1)/(0.055/12))

MP = $778.77

she should put $778.77 into the account each month

Answer:

Step-by-step explanation:

we know that the formula for the volume of cylinder is

=[tex]\pi r^{2} h[/tex]

Given

radius(r) = 4

height(h) = 10

NOW

Volume =  [tex]\pi r^{2} h[/tex]

             = [tex]\pi *4^{2} *10[/tex]

             =[tex]160\pi units^{3}[/tex]

or

if we use the value of pie then its answer is

= 160 * 3.14

= 502.4[tex]units^{3}[/tex]

Hope it was helpful:)

Answer:

2 tan theta & sin2theta/cos^2theta

Step-by-step explanation:

Final answer:

The simplified forms of the expression sec^2(theta) sin(2theta) are 2 tan(theta) and sec^2(theta) - 1. These correspond to answer choices (c) and (d) respectively, by utilizing trigonometric identities to simplify the expression.

Explanation:

To find the simplified forms of the expression sec^2(theta) sin(2theta), we can use trigonometric identities. The identity for sin(2theta) is 2sin(theta)cos(theta). Since sec(theta) is the reciprocal of cos(theta), we can write sec^2(theta) as 1/cos^2(theta).

Therefore, the expression becomes:

sec^2(theta) sin(2theta) = (1/cos^2(theta)) * (2sin(theta)cos(theta))

We can simplify this further by canceling one cos(theta) from the numerator and denominator, which yields:

2sin(theta)/cos(theta)

Simplified, this is equal to 2 tan(theta), since tan(theta) = sin(theta)/cos(theta).

Using another trigonometric identity, sec^2(theta) = 1 + tan^2(theta), we can also express the original expression as:

sec^2(theta) - 1 which simplifies to tan^2(theta).

This means that the correct answers from the provided choices are (c) and (d).

Answer:

  c.  2; no

Step-by-step explanation:

The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.

  (3, 5)·(4, -2) = (3)(4) +(5)(-2) = 12 -10 = 2

When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)

The appropriate choice is ...

  2; no

Final answer:

The inner product of the vectors (3,5) and (4,-2) is 2. As the dot product is not zero, the vectors are not perpendicular. Therefore, the correct answer is c.2; no.

Explanation:

To find the inner product of two vectors, we use the dot product formula. The dot product of two vectors u = (a1, b1) and v = (a2, b2) is calculated as u · v = a1 × a2 + b1 × b2. For the vectors (3,5) and (4,-2), we calculate as follows:

Inner product = 3 × 4 + 5 × (-2) = 12 - 10 = 2.

Two vectors are perpendicular if their dot product is zero. Since the dot product here is 2, not zero, the given vectors are not perpendicular.

Therefore, the correct answer is: c.2; no.