Question

Evaluate the following expression for P=8000, r=10%, k=4, and n=15.

Answer 1

We are given the following expression:

`P(1+(r)/(k))^(nk)`

We are given the following values:

`\begin{gathered} P=8000 \\ r=10\text{ percent} \\ k=4 \\ n=15 \end{gathered}`

For the value of "r" we will express the percentage in decimal form:

`r=(10)/(100)=0.1`

Now we will substitute the values in the expression:

`P(1+(r)/(k))^(nk)=(8000)(1+(0.1)/(4))^((4)(15))`

Solving the operations we get:

`P(1+(r)/(k))^(nk)=35198.32`

Therefore, the value of the expression is 35198.32.