an investment $of 6,599.20 earns 4.2% interest over 7 years. approximately how much interest is earned on the investment

Interest earned on the investment is; $2237.31254875

Step-by-step explanation:

Given: Principal (P) = $6, 599.20 r = 4.2% and t = 7 years.

Formula for annual compound interest, including principal sum is:

A = P (1+/frac{r}{100n}) ^{nt} ... [1]

where;

A represents the total amount, including interest.

P represents the initial deposits

r represents the rate of interest

t represents the number of times that the interest is compounded per year

n represents the number time that interest is compounded per year

Here, n = 12

therefore,

Substituting the values of P = $6, 599.20 r = 4.2% and t = 7 years in equation [1];

A = 6599.20 (1+/frac{4.2}{1200}) ^{7 / times 12} = 6559.20 (1+0.0035) ^{84}

Simplify:

A = $8796.51254875

We have to find the interest is earned on the investment;

Use the formula:

A = I + P or

I = A - P

where,

I represents the interest earned on the investment;

we have;

I = 8796.51254875 - 6559.20 = 2237.31254875

Therefore, the interest earned on the investment is; $2237.31