$40,000 is invested at a rate of 5.7% that is compounded semiannually.
How much money is in the account after 17 years?

Respuesta :

Answer:

$[tex]$78760.00[/tex]

Step-by-step 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:

[tex]I=P*r*t[/tex]

Where:

  • P is  principal amount, $40,000
  • r is the interest rate, 5.7% per year, or in decimal form, [tex]\frac{5.7}{100} =0.057[/tex]
  • t is the time involved, 17 years

To find the simple interest we multiply [tex]40000*0.057*17[/tex] 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