Mathematics High School

If 8900 is invested at 3.8%

Answers

Answer 1
is this the question, i am assuming you are asking?            


If $8,900 is invested at 3.8% interest compounded quarterly, how much will the investment be worth in 13 yrs?
A.$14,551.87
B.$14,518.40
C.$14,452.92
D.$14,574.46


If it is, Here is your answer:

Just plug everything into the equation.

A(t) = P(1 + r/n)^(nt)

P is the principle (investment)
r is the interest rate expressed as a decimal
n is the number of times compounding occurs in a year
t is the number of years

A(13) = 8900(1 + 0.038/4)^(4+13) = 14551.87 

Answer is (A): 14, 551.87

Related Questions

Find the area of this trapezoid. All length measures are in centimeters.

Answers

 we know that
The area of a trapezoid is given by the formula
Area=h*(b1+b2)/2
 where
b1, b2 are the lengths of each base
h is the altitude (height)
Remember  that the bases are the two parallel sides of the trapezoid. The altitude (or height) of a trapezoid is the perpendicular distance between the two bases

 therefore 
[area of trapezoid]=(11+5)*4/2--------> 64/2------> 32 cm²

the answer is 32 cm²

Mae bought 15 football cards and 18 baseball cards. She seperated them into 3 equal groups.How many sports cards are in each group?

Answers

Total number of sports cards = 15 + 18 = 33

So if they are divided into 3 groups the number in each group = 33/3  = 11 cards Answer.

The perimeter of square A is 28 feet less than the perimeter of square B. The area of square A is 161 square feet less than the area of square B. If x and y are the side lengths of square A and square B, respectively, what is the value of x + y?

Answers

x+y=23.

The equation comparing the areas of the squares would be:

x²=y²-161

This is because the area of a square is found by multiplying its length and width; if x is the length of the smaller square, and y is the length of the larger square, we know that x*x, the area of the smaller square, is 161 less than y*y, the area of the larger square.

The equation comparing the perimeters of the squares would be:

4x=4y-28

This is because the perimeter is found by adding all of the sides; x+x+x+x=4x.  Similarly, y+y+y+y=4y; however, the perimeter of the smaller square is 28 less than 4y.

Using the equation for the perimeters, we can isolate x.  Divide both sides by 4:

4x/4 = 4y/4 - 28/4
x=y-7

Now we can substitute this into the equation for area:
(y-7)²=y²-161
(y-7)(y-7)=y²-161

Multiplying the binomials on the left we have:
y*y-7*y-7*y-7(-7)=y²-161
y²-7y-7y+49=y²-161
y²-14y+49=y²-161

We cannot have a variable on both sides; subtract y² from each:
y²-14y+49-y²=y²-161-y²
-14y+49= -161

Subtract 49 from both sides:
-14y+49-49 = -161-49
-14y = -210

Divide both sides by -14:
-14y/-14 = -210/-14
y=15

Substitute this back into the perimeter equation:
4x=4(15)-28
4x=60-28
4x=32

Divide both sides by 4:
4x/4=32/4
x=8

Therefore x+y=8+15=23.

A fire fighter has to get to a burning building as quickly as he can. there are three paths that he can take. he can take his fire engine over a large hill (5 miles) at 10 miles per hour. he can take his fire engine through a windy road (7 miles) at 9 miles per hour. or he can drive his fire engine along a dirt road which is 8 miles at 12 miles per hour.

Answers

Final answer:

The firefighter should take the path over the large hill as it will take the shortest amount of time to reach the burning building.

Explanation:

The firefighter has three paths to choose from in order to reach the burning building:

Path 1: The firefighter can take the fire engine over a large hill, which is 5 miles long, at a speed of 10 miles per hour.

Path 2: The firefighter can take the fire engine through a windy road, which is 7 miles long, at a speed of 9 miles per hour.

Path 3: The firefighter can drive the fire engine along a dirt road, which is 8 miles long, at a speed of 12 miles per hour.

The firefighter will need to calculate the time it takes to travel each path and choose the path that allows him to reach the burning building quickest.

Let's calculate the time for each path:

Path 1: Time = Distance / Speed = 5 miles / 10 miles per hour = 0.5 hours = 30 minutes

Path 2: Time = Distance / Speed = 7 miles / 9 miles per hour ≈ 0.78 hours ≈ 47 minutes

Path 3: Time = Distance / Speed = 8 miles / 12 miles per hour ≈ 0.67 hours ≈ 40 minutes

Based on the calculations, the firefighter should take Path 1 over the large hill, as it will take him the shortest amount of time to reach the burning building.

How many different towers can you make using one red, one blue and one yellow block?

Answers

You can make 6 different towers. If red was at the bottom, there'd be two different possibilities for that: red, yellow, blue, and red, blue, yellow. Same for if blue was at the bottom: blue, red, yellow, and blue, yellow, red. Yellow also applies: yellow, red, blue, and yellow, blue, red. 3*2=6, so 6 possible towers. 

Final answer:

Using permutation principles, one can determine that six different towers can be made from one red, one blue, and one yellow block, by multiplying the number of choices for each position (3 x 2 x 1).

Explanation:

The question is about determining the number of different towers that can be made using one red, one blue, and one yellow block. This type of problem involves understanding permutations, as each block can be placed in any order.

To calculate the permutations of the three blocks, we consider how many choices we have for each position in our tower. For the top position, there are three choices (red, blue, yellow), for the second position, there are two remaining choices, and for the last position, there is only one choice left. This gives us a total of 3 x 2 x 1 = 6 different towers. Each tower is a unique combination of the colors in a specific order.

Find the sum of the measures of the interior angles of a convex 14-gon.

Answers

sum of all interior angles = (n-2)x180, n being the number of sides.

sum of all interior angles = (n-2)x180
sum of all interior angles = (14-2)x180
sum of all interior angles = 12 x180
sum of all interior angles = 2160°

Final answer:

The sum of the interior angles of a convex 14-gon is calculated using the formula (n - 2) × 180°, which equals 2160°.

Explanation:

The sum of the interior angles of any polygon can be found using the formula (n - 2) × 180°, where n is the number of sides. For a convex 14-gon, we plug in 14 for n in the formula to find the sum:

sum of all interior angles = (n-2)x180, n being the number of sides.

Sum = (14 - 2) × 180°

Sum = 12 × 180°

Sum = 2160°

This calculation shows that the sum of the interior angles of a convex 14-gon is 2160 degrees.

Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
Barry spends $9 on lunch daily.
The market value of a new computer decreases by 6% every year.
Nathan's investments increase in value by 13.5% each month.
The number of ants in a colony doubles every 8 weeks.

Answers

The number of ants in a colony doubles every 8 weeks.

Constant rate of change means that when the value of x increases, the y remains constant. So there is no change in the y value. In this case, the x value is the "week" and the y value is the "amount of ants". 

1. Through music, literature, and painting, the romantic artists attempted to
(1 point)make people fall in love.

express their love for women.
stir the emotions.
get people to reject modern innovations.

2. What do the writers Walter Scott, Mary Shelley, Edgar Allen Poe, and William Wordsworth have in common?
(1 point)They were all men.
They were all French.

They were all English.

They were all romantic writers.

3. Romantic painters aimed to
(1 point)mirror the artist’s imagination.

re-create nature.
meet the highest standards of the École des Beaux-Arts.

f,

Answers

Romantic artists attempted to stir the emotions. The writers listed are all romantic writers. Romantic painters aimed to mirror the artist's imagination. In general, this was an artistic period driven by a focus on the feelings the artist and viewer experienced.

Which parent function has a constant slope?

A. linear
B. square root
C. quadratic
D. exponential

Answers

The slope of a line is the tangent of the angle that forms the line with the positive direction of the abscissa axis.
 We note that for linear functions, this value is always the same.
 The standard equation of the line is:
 y = mx + b
 Where,
 m = slope of the line.
 This value is always the same regardless of the domain of the function.
 Answer: 
 A parent function that has a constant slope is:
 A. linear

Anna and Bill share some money in the ratio 2:5
Anna gets £A
Bill gets £B
Carl and Donna share twice as much money as Anna and Bill share.
They share the money in the ratio 3:1
Carl gets £C
Donna gets £D
Find A:B:C:D in its simplest form

Answers

let the total amount of money that Anna and Bill shared be £ x
amount of money Anna received will  be £A=2/7x
amount of money Bill received will be £B=5/7x
let the total amount of  money that Carl and Donna shared be £ 2x
amount of money received by Carl is £C=3/4(2x)=3/2x
amount of money received by Donna is £D=1/4(2x)=1/2x
the ratio of money received by them altogether will be:A:B:C:D
this is equal to:
2/7x:5/7x:3/2x:1/2x
this can be simplified to:
2/7:5/7:3/2:1/2
this can further be simplified to:
(2/7*14):(5/7*14):(3/2*14):(1/2*14)
hence we shall have:
4:10:21:7
 

The ratio A:B: C:D in its simplest form is 4:10:15:5.

Let's denote the total amount of money shared by Anna and Bill as M. Since Anna and Bill share this money in the ratio of 2:5, Anna gets 2/7 of M and Bill gets 5/7 of M.

So, we have:

Anna's share (A) = (2/7)M

Bill's share (B) = (5/7)M

Carl and Donna share twice as much money as Anna and Bill, which means the total amount of money shared by Carl and Donna is 2M. They share this money in a ratio of 3:1.

Therefore:

Carl's share (C) = (3/4)(2M) = (3/2)M

Donna's share (D) = (1/4)(2M) = (1/2)M

Now, we want to find the ratio A:B:C: D. To do this, we need to express all shares in terms of the same unit. Since Anna and Bill's total money is M, we will express Carl and Donna's shares in terms of M as well.

We have:

A = (2/7)M

B = (5/7)M

C = (3/2)M

D = (1/2)M

To find the ratio A:B: C:D, we can compare the coefficients of M:

A:B:C:D = (2/7)M : (5/7)M : (3/2)M : (1/2)M

To simplify this, we can multiply each term by the least common multiple (LCM) of the denominators, which is 14. This will give us the ratio in whole numbers without changing the proportions.

Multiplying each term by 14, we get:

A:B:C:D = (2/7)*14 : (5/7)*14 : (3/2)*14 : (1/2)*14

A:B: C:D = 4:10:15:5

Therefore, the simplest form of the ratio A:B: C:D is 4:10:15:5.

What is the length of bc?

Answers

The length of BC is 15 units.

I used the Pythagorean theorem to find this.  8 is the length of the given leg, and 17 is the length of the hypotenuse:

8²+b²=17²
64+b²=289

Subtract 64 from both sides:
64+b²-64=289-64
b²=225

Take the square root of both sides:
√b²=√225
b=15

Suppose the number of gallons of gasoline per day used by a car is normally distributed with a mean of 2.2 gallons and a standard deviation of 1.2 gallons.

What is the difference in gallons per day used by a car with a z-score of 3 and another car that has a z-score of 0?

A. 1.2

B. 2.6

C. 3.6

D. 4.6

Answers

The difference in gallons per day used is 3.6.

The formula to calculate a z-score is:
[tex]z=\frac{X-\mu}{\sigma}[/tex],

where X is the value used to calculate the score, μ is the mean and σ is the standard deviation.  We have the z-scores so we must work backward:

[tex]3=\frac{X-2.2}{1.2}\text{ and }0=\frac{X-2.2}{1.2}[/tex]

For both equations, we will cancel the 1.2 by multiplying both sides:
[tex]3\times1.2=(\frac{X-2.2}{1.2})\times1.2\text{ and }0\times1.2=(\frac{X-2.2}{1.2})\times1.2 \\ \\3.6=X-2.2\text{ and }0=X-2.2[/tex]

Now we will cancel 2.2 from both equations by adding it to both sides:

3.6+2.2=X-2.2+2.2     and       0+2.2=X-2.2+2.2
5.8=X     and       2.2=X

The difference in gas used per day would be given by
5.8-2.2 = 3.6.

Which equation could have been used to create this graph?



A.
y = 5x


B.
y = x + 0


C.
y = x + 1


D.
y = x + 5

Answers

Im Pretty Sure its D!

Answer:

Its b :)

Step-by-step explanation:

Describe the following sequence as arithmetic, geometric or neither.

2, 4, 6, 12, 14. . . .

I think it's arithmetic because it's +2, but then there's 6 to 12 and that's +6, but then it's back to +2 when it goes to 12 to 14.,

Answers

It can't be arithmetic. It can't be geometric, so it leads to it is neither.

simplify the square root of 27x^12/300x^8

Answers

The first thing we are going to do is rewrite the expression correctly.
 We have:
 root (27x ^ 12 / 300x ^ 8)
 Rewriting:
 root ((27/300) * (x ^ 12 / x ^ 8))
 root ((9/100) * (x ^ (12-8)))
 root ((9/100) * (x ^ (4)))
 root ((9/100) * (x ^ (4)))
 3 * x ^ 2 * root ((1/100)
 (3 * x ^ 2) / 10
 (3/10) * (x ^ 2)
 Answer:
 (3/10) * (x ^ 2)

Answer:

3/10 x^2

Step-by-step explanation:

Side ab in triangle abd corresponds to which side of triangle abc? ab bc ac

Answers

Answer:

The correct answer to this question going by the reference photo is AC (answer) that corresponds to AB.  

Step-by-step explanation:

Answer:

it is AC

Step-by-step explanation:

option c

Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) 45°- 45° - 90° triangle D) 30°- 60° - 90° triangle

Answers

I need he picture of it to get know the angle

Answer:

its B

Step-by-step explanation:

A delivery person is scheduled to pick up 9 crates of patio pavers. Each crate weighs 14 ton. How much weight will the delivery person need to plan for?

Answers

9×14
which equals
126
Hope I helped :)
if a crate weights 14 tons, and we 9 crates
9*14=126 tons

Use the answer from the previous task to determine P(z < −2.1).
0.01790.58320.98211

Answers

Answer:

A on Edg :)

Step-by-step explanation:

Using the normal distribution, it is found that P(z < −2.1) = 0.0179.

Normal Probability Distribution

The z-score of a measure X in a normal distribution  with mean [tex]\mu[/tex] and standard deviation  [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below. After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.

From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Trayvon sells candy bars at a price of $3 each. He purchases every order of 200 candy bars for $350. If the cost of shipping is $0.15 per bar, what is Trayvon’s profit function?

Answers

A profit function is the revenue function minus the cost function. Since the revenue will at R(x) = 3x and the cost will be at C(x) = -350 - 0.15x. The profit function will be equal to P(x) = 2.85x - 350 for the first 200 candy bars. 

In an isosceles triangle, the altitude and median are __________. I know they are the same but the same isn't one of the choices. These are the choices:
A. segments opposite one another
B. perpendicular segments
C. the same segment
D. the legs of the triangle,

Answers

C. The same segment. In an isosceles triangle, the altitude and the median are the same segments because they correspond to the base that is contained in the mediatrix of the base. This applies to equilateral and isosceles triangles and the demonstration is by the congruence of triangles.

The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle.

a 2 + b 2 = c 2

Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.

Answers

Sorry. I should have known.
a = square root of (c^2 - b^2)
Does your marker let you omit the ^ meaning power of?
Be careful about how you enter that.
I don't think it would be correct to write square root of (c 2 - b 2) but maybe you can do that if you and your marker have agreed on it.

Answer: a = square root of (c^2 - b^2)

Step-by-step explanation:

What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) , (−2, −4) Enter your answer in the box. units²

Answers

check the picture below.

notice the composite is just,

a 5x2 rectangle.

a triangle(yellow) with a base of 2 and a height of 2.

a triangle(red) with a base of 6 and a height of 4.

get the area of each, sum them up, and that's the area of the composite.

[tex]\bf \stackrel{rectangle}{(5\cdot 2)}~~~~+~~~~\stackrel{yellow~triangle}{\cfrac{1}{2}(2)(2)}~~~~+~~~~\stackrel{red~triangle}{\cfrac{1}{2}(6)(4)}[/tex]

While Joey was standing outside on a sunny day, his shadow was 5 feet long. The shadow of a nearby Oak tree was 12 feet long. If Joey is 6 feet tall, how tall is the Oak tree?

A. 15.6 feet

B. 14.4 feet

C. 10 feet

D. 13.4 feet

Answers

Shadow problems are usually solved with a proportion.
.. oak/(oak's shadow) = joey/(joey's shadow)
.. oak/(12 ft) = (6 ft)/(5 ft)
.. oak = (12 ft)*(6/5) = 14.4 ft . . . . . . . matches selection B

jenny said i'm thinking  of fraction that is equivalent to 2/6 the numerator is 8 less than the denominator what fraction is jenney thinking of

Answers

The fraction 2/6 has a numerator that is 4 less than the denominator. If the numbers in the fraction are doubled, then their difference will be 8.

Jenny is apparently thinking of 4/12.

Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12

Answers

Hey there :)

5. x² + 11x + 10 = 0
Sum = 11 
Product = 10
Factors = 1 and 10
( x + 1 )( x + 10 )
x = 1 , x = -10

6. x² + 4x - 32 = 0
Sum = 4
Product = -32
Factors = - 4 and 8
( x - 4 )( x + 8 )
x = 4 , x = -8

7. 2x² - 21x - 36 = 0
( 2x + 3 )( x - 12 )
x = [tex]- \frac{3}{2} [/tex] , x = 12

8. 3x² + x -14
( x - 2 )( 3x + 7 )
x = 2 , [tex]- \frac{7}{3} [/tex]

9. x² - 4x = 21
   x² - 4x - 21 = 0
Sum = - 4
Product = - 21
Factors = - 7  and 3
( x + 3 )( x - 7 )
x = - 3 , x = 7

10. 2x² - 11x = -12
     2x² - 11x + 12 = 0
( x - 4 )( 2x - 3)
x = 4 , x = [tex] \frac{3}{2} [/tex]

From a barrel of colored marbles, you randomly select 4 blue, 5 yellow, 6 red, 2 green, and 5 purple marbles. Find the experimental probability of randomly selecting a marble that is not blue. A. The term shows 6 over 13. B. one-half C. start fraction 9 over 11 end fraction D. three-eighths

Answers

Hey,
It would be A 
i just learned this 4 weeks ago in math class.

The required, experimental probability of randomly selecting a marble that is not blue is 9/11. Option C is correct.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The total number of marbles in the barrel is:

4 blue + 5 yellow + 6 red + 2 green + 5 purple = 22 marbles

The number of marbles that are not blue is:

5 yellow + 6 red + 2 green + 5 purple = 18 marbles

Therefore, the experimental probability of randomly selecting a marble that is not blue is:

18 marbles / 22 marbles = 9/11

Thus, the answer is option C:  9 / 11.

Learn more about probability here:

brainly.com/question/14290572

#SPJ3

Lexi bought 1 2/5 of green grapes and 2 3/10 of red grapes. Grapes are 2.99 a pound.Did lexi spend more or less then $12?

Answers

Less. If you multiple 1 2/5 by $2.99 you would get about $4.19. If you multiple 2 3/10 by $2.99 you would get about $6.88. If you add those together, you would get $11.07, which is less than $12.

Joe has some pocket money. He spends 90% of it. He has 50p left. How much pocket money did he have?

Answers

So he spent 90% of a number and had 50 left
£5. This is because 50p is 10%. To get 100% you therefore need to times 50p by 10, thus getting £5
Hope this helps!

find the inverse of the following function:
[tex]f(x)=-2 \sqrt{3x-1} -5 [/tex]
if x \geq 1/3[/tex]

Answers

First, we are going to find the inverse function of [tex]f(x)[/tex] by replacing [tex]f(x)[/tex] with [tex]y[/tex], and then, interchanging [tex]x[/tex] and [tex]y[/tex] and solving for [tex]x[/tex]:
[tex]y=-2 \sqrt{3x-1} -5[/tex]
[tex]x=-2 \sqrt{3y-1} -5[/tex]
[tex]-2 \sqrt{3y-1} =x+5[/tex]
[tex] \sqrt{3y-1} = \frac{x+5}{-2} [/tex]
[tex]3y-1=( \frac{x+5}{-2} )^{2} [/tex]
[tex]3y=( \frac{x+5}{-2} )^{2} +1[/tex]
[tex]y= \frac{( \frac{x+5}{-2})^{2}+1 }{3} [/tex]

Next we are going to evaluate our inverse function at [tex]x= \frac{1}{3} [/tex]:
[tex]y= \frac{( \frac{ \frac{1}{3}+5 }{-2})^{2}+1 }{3} [/tex]
[tex]y= \frac{( \frac{ \frac{16}{3} }{-2})^{2}+1 }{3} [/tex]
[tex]y= \frac{(- \frac{8}{3})^{2}+1 }{3} [/tex]
[tex]y= \frac{ \frac{64}{9}+1 }{3} [/tex]
[tex]y= \frac{ \frac{73}{9} }{3} [/tex]
[tex]y= \frac{73}{27} [/tex]

We can conclude that the inverse function of [tex]f(x)=-2 \sqrt{3x-1} -5[/tex] when [tex]x= \frac{1}{3} [/tex] is [tex] \frac{73}{27} [/tex]

Other Questions
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