Problemas
Suppose that 2000 is loaned at a rate of 18% compounded monthly. Assuming that no payments are made,find the amount owed after 5 years. Do not round any Intermediate computations, and round your answer to the nearest cent. square
Roztwór
Fabiana
élite · Tutor durante 8 años
4.7
(336 Votos)
Respuesta
To solve this problem, we will use the formula for compound interest:
where:-
is the amount of money accumulated after n years, including interest.-
is the principal amount (the initial amount of money).-
is the annual interest rate (decimal).-
is the number of times that interest is compounded per year.-
is the time the money is invested for in years.Given:-
dollars-
-
(since the interest is compounded monthly)-
yearsNow, plug these values into the formula:
First, calculate the monthly interest rate:
Next, add 1 to the monthly interest rate:
Then, raise this to the power of the total number of compounding periods (12 months/year * 5 years):
Using a calculator to find
:
Finally, multiply this by the principal amount:
So, the amount owed after 5 years is approximately
.