Porsha calculates the amount of money she will have at the end of 6 years on a $5,000 investment earning 3.75% interest compounded quarterly. she writes the following expression: which of the following statements about porsha's expression is true? a. porsha's expression is correct. b. porsha's expression should have 1 + 0.009375 in the parentheses. c. porsha's expression should have an exponent of 6, not 24. d. porsha's expression should have both 1 + 0.009375 in the parentheses and an exponent of 6.

Invested amount = $5,000.

Interest rate = 3.75% per year compounded quarterly, that is 4 times in a year.

First we would convert percentage into decimals 3.75%=3.75/100 = 0.0375.

Because interest is compounded quarterly, we need to divide 0.0375 by 4, we get 0.009375.

Number of years = 6 years.

n=4 (number of quarters in a year)

We can apply Compound interest formula.

, Where P is invested amount, r is the rate of interest, it is the time in number of years and n is the number of installments.

Plugging values of P, r, t and n in above formula, we get

A =  5,000 ( 1+ )

0.0375 divided by 4 gives 0.009375 and 6*4 = 24.

So, we could rewrite expression as,

We can add 1+0.009375, we get 1.009375.

Expression could be written in any form

or

or

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