Problemas
Suppose that 2000 is invested at a rate of 4% , compounded annually. Assuming that no withdrawals are made,find the total amount after 6 years. Do not round any intermediate computations, and round your answer to the nearest cent. Ssquare
Roztwór
Luisa
professionell · Tutor durante 6 años
4
(302 Votos)
Respuesta
To find the total amount after 6 years, we can 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 (decimal).-
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 annually)-
yearsSubstitute these values into the formula:
Now, calculate \( (1.04)^6 \):
Then multiply by the principal amount:
So, the total amount after 6 years is approximately
.