Calculate the amount of interest that will be paid on a $15,000, 10-year student loan with an interest rate of 3.75% that is
compounded monthly. Round to the nearest cent

Respuesta :

Answer:

$21,812.10

Step-by-step explanation:

convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 15,000.00(1 + 0.0375/12)(12)(10)

A = 15,000.00(1 + 0.003125)(120)

A = $21,812.11

The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 3.75% per year compounded 12 times per year over 10 years is $21,812.11.