#### Explanation:

A = P (1 + (r/n))^(nt) where

P = principal amount (the initial amount you borrow or deposit)

r = annual rate of interest (as a decimal)

t = number of years the amount is deposited or borrowed for.

A = amount of money accumulated after n years, including interest.

n = number of times the interest is compounded per year

Given P = $6,000, r = 4%, = 0.04, n = 12, t = 2. To find A. $A = 6000 \cdot {\left(1 + \left(\frac{0.04}{12}\right)\right)}^{12 \cdot 2}$$A = 6000 \cdot {\left(\frac{12.04}{12}\right)}^{24}$color(blue)(A =$ 6,498.86)#