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$40,000 is invested at a rate of 5.7% that is compounded semiannually.

How much money is in the account after 17 years?

User Artem
by
5.2k points

1 Answer

3 votes

Answer:

$
$78760.00

Explanation:

You want to calculate the interest on $40000 at 5.7% interest per year after 17 years.

The formula we'll use for this is the simple interest formula, or:


I=P*r*t

Where:

  • P is principal amount, $40,000
  • r is the interest rate, 5.7% per year, or in decimal form,
    (5.7)/(100) =0.057
  • t is the time involved, 17 years

To find the simple interest we multiply
40000*0.057*17 to get

The interest rate is $38,760

Usually now, the interest is added onto the principal to figure some new amount after 17 years.

or 40000.00 + 38760.00 = 78760.00

=$78,760

User Robert Byrne
by
4.9k points