You deposit $750 in a savings account the earns a 5% annual interest compounded quarterly. a. write the function that represents the balance after t years.

b. what is the balance of the account after 4 years?

The function that represents the balance after t years is FV = $750( 1.0125)^4t.

The balance of the account after four years is $914.92.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = $750( 1.0125)^4t

$750( 1.0125)^(4 x 4) = $914.92

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a.

b .$914.85

Step-by-step explanation:

Step one:

given data

principal p=$750

rate= 5%= 0.05

for quarterly compounding n=4

a. the function that represents the balance after t years.

A=final amount

P=initial principal balance

r=interest rate

n=number of times interest applied per time period

t=number of time periods elapsed

b. when t=4

A= $914.85

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

answer: i believe the answer is e

step-by-step explanation: