Question

Felipe borrowed $8000 at a rate of 16.5%, compounded monthly. Assuming he makes no payments, how much will he owe after 7 years? Round your answer to the nearest cent

Answer 1

Answer:

$25,193.17

Explanation:

Given:

• Principal Felipe borrowed, P=$8000

,

• Annual Interest Rate, r=16.5%=0.165

,

• Compounding Period, k=12 (Monthly)

,

• Time, t=7 years

We want to determine how much he will owe after 7 years.

In order to carry out this calculation, use the compound interest formula below:

$A(t)=P\mleft(1+\frac{r}{k}\mright)^{tk}$

Substitute the values defined above:

$A(t)=8000\mleft(1+\frac{0.165}{12}\mright)^{12\times7}$

Finally, simplify and round to the nearest cent.

$\begin{gathered} A(t)=8000(1+0.01375)^{84} \\ =8000(1.01375)^{84} \\ =\ 25,193.17 \end{gathered}$

After 7 years, Felipe will owe $25,193.17.