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The amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

What is an interest in banking?

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formula for calculating compound interest is expressed as;

A = P(1 + r/k)^(k*t)

Where A is final amount, P is initial principal balance, r is interest rate, k is  number of times interest applied per time period and t is number of time periods elapsed.

Given that;

  • Initial principal balance P = $40500
  • Interest rate r = 3.8= 3.8/100 = 0.038
  • Time t = 20 years
  • Number of times interest applied per time period = 12 (annually) = 12/12 = 1
  • Amount accumulated A = ?

A = P(1 + r/k)^(k*t)

A = 40500(1 + 0.038/1)¹ˣ²⁰

A = 40500 × (1.038)²⁰

A = 40500 × 2.10837

A = $85389

Therefore, the amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

Learn more about compound interest here: brainly.com/question/27128740

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