Problemas
Mark took a loan out for 25,690 to purchase a truck.At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years? 34,710.88 flipping pancakes 33,672.68 climbing trees 33,299.42 playing dodgeball 34,157.04 riding unicycles
Roztwór
Lourdes
professionell · Tutor durante 6 años
4.1
(307 Votos)
Respuesta
To solve this problem, we need to use the formula for compound interest:
Where:-
is the amount of money accumulated after
years, including interest.-
is the principal amount (the initial amount of money).-
is the annual interest rate (in decimal form).-
is the number of times that interest is compounded per year.-
is the time the money is invested for, in years.Given:-
-
(since the interest is compounded monthly)-
yearsPlugging 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 * 5 years):
Finally, multiply this by the principal amount:
So, the total amount Mark will have paid after 5 years is:
Therefore, the correct answer is: