Question

if an amount of $5,000 is deposited into a savings account at an annual interest rate of 5%, compounded monthly, what is the value of the investment after 10 years?

Answer 1

Answer:

$8,240

Step-by-step explanation:

We are given that,

Principle amount in the savings account, P = $5,000.

Rate of interest, r = 5% = 0.05

Time period, t = 10

Also, the interest is compounded monthly, n = 12

As, we now that the value of the investment is given by $P(1+\frac{r}{n})^{nt}$

Thus, we have,

Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+\frac{0.05}{12})^{12\times 10}$

i.e. Investment Value = $5000(1+0.00417)^{120}$

i.e. Investment Value = $5000\times 1.648$

i.e. Investment Value = $8,240

Hence, the investment amount after 10 years is $8,240.