Answer:$6451.6 should be deposited.
Explanation:
The principal was compounded monthly. This means that it was compounded 12 times in a year. So
n = 12
The rate at which the principal was compounded is 7.2%. So
r = 7.2/100 = 0.072
It was compounded for 3 years. So
t = 3
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. A is given as $8000 Therefore,
8000 = P (1+0.072/12)^12×3
8000 = P(1+0.006)^36
8000 = P(1.006)^36
P = 8000/1.24
P = $6451.6