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Answer :

Answer: $3122.00

Explanation:

The value of the account at the end of the fifth year goes thus:

A = [P (1 + r) - 1/r] × (1 + r)

where,

P = principal = $500

R = rate = 7.5%

T = time =5 years

A = 500(1 + 7.5%)^5 - 1]/0.075 × 1.075

A = 3122.00

Solving the above equation, we can infer that the value of the account at the end of the fifth year will be $3122.00