Question

What is the future value of the 10% savings from earnings of $187.45 if it earns 5% annual interest, compounded monthly for 30 years? Use the compound interest formula to estimate the present value.

Answer 1

Answer:

$83.75

Step-by-step explanation:

To find the future value, we first need to define our variables.

P = 187.45 x 0.10 = 18.745

r = 5% or 0.05

t = 30 years

n = 12

Now we can use the formula:

$A=P(1+\dfrac{r}{n})^{nt}$

$A=18.745(1+\dfrac{0.05}{12})^{12(30)}$

$A=18.745(1+\dfrac{0.05}{12})^{360}$

$A=83.75$

So the future value after 30 years is $83.75.