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liubo4ka [24]
3 years ago
12

PLEASE HELP URGENT AND EXPLAIN FOR 25 POINTS MUST BE CORRECT Brielle bought an apartment building for $202,444. The value of the

real estate appreciated at a constant rate per year. The table shows the value of the apartment building after the first and second years: Year 1 2 Value (in dollars) $212,566.20 $223,194.51 Which function best represents the value of the apartment building after t years? f(t) = 202,444(0.05)t f(t) = 202,444(1.05)t f(t) = 212,566.20(1.05)t f(t) = 212,566.20(0.05)t
Mathematics
1 answer:
GuDViN [60]3 years ago
7 0

Answer:

f(t) = 202,444(1.05)^t

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

<em>A</em> = final amount

<em>P </em>= principle amount

<em>r</em> = interest rate

<em>t</em> = time

Step 1: Find rate <em>r</em>

212,566.20 = 202,444(1 + r)¹

1.05 = (1 + r)¹

1.05 = 1 + r

r = 0.05

Step 2: Define variables

P = 202,444

r = 0.05

Step 3: Plug in variables into formula

A = 202,444(1 + 0.05)^t

A = 202,444(1.05)^t

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The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}

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Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times4}\\A=11422.6348

For the four years, the monthly payment is,

m=\dfrac{11422.6348}{12\times4}\\m=237.97

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

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Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

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