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3 years ago

What is the area of the poster board that she has left

Mathematics

1 answer:

steposvetlana [31]3 years ago

5 0

Find the area of the parallelogram, find the area of the triangle, then subtract the triangle's area from the area of the parallelogram.

Area of Parallelogram:
A= base * height
A= 20 in * 10 in
A= 200 in^2

Area of Triangle:
A= 1/2 base * height
A= 1/2 (10 in)(9 in)
A= 1/2 (90)
A= 45 in ^2

Area of Poster Left:
subtract the difference
A= Parallelogram Area - Triangle Area
A= 200 in^2 - 45 in^2
A= 155 in^2

ANSWER: 155 in^2 is the area of the poster board she has left.

Hope this helps! :)

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The contribution of the friend's company is of: $60.

The account's balance after 20 years will be of: $130,694.36.

The total deposits after 20 years are given as follows: $28,800 by the friend and $14,400 by the company.

The interest earned during this entire period was of: $87,494.36.

<h3>How to obtain the balance?</h3>

The balance is obtained using the future value formula, which is presented as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

The meaning of each parameter is explained as follows:

P is the total month deposit.

r is the interest rate.

n is the number of coupoundings per period, that is, compoundings per year.

t is the number of years.

The deposits will be of:

Friend: $120.

Company: $60, as it is half of the friend.

Then the parameter P is of:

P = 120 + 60 = 180.

The remaining parameters to obtain the balance after 20 years are given as follows:

r = 0.03, n = 12, t = 20.

Then the balance after 20 years is obtained as follows:

$B = \frac{P\left(\left(1 + \frac{r}{n}\right)^{nt}-1\right)}{\frac{r}{n}}$

$B = \frac{180\left(\left(1 + \frac{0.03}{12}\right)^{12 \times 20}-1\right)}{\frac{0.03}{12}}$

B = $130,694.36.

The total deposits will be of:

Friend: 120 x 20 x 12 = $28,800.

Company: half of friend -> $14,400.

The interest accrued is the balance subtracted by the total deposits, hence:

130694.36 - (28800 + 14400) = $87,494.36.

A similar problem, also featuring the future value formula, is presented at brainly.com/question/24703884

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