Suppose you invest $2500 at an annual interest rate of 3% compounded continuously. How much will you have in the account after 7 years? Round the solution to the nearest dollar.
P = $2500, n = 7, r = 3% = 0.03
F = P / ( 1 + r ) ^t
F = $2500 * 1.03^(7) = $2500 * 1.22987 = $3074.68 = $3075
Answer:
$3084
Step-by-step explanation:
The principle amount, P = $2500
Interest rate = 3% = 0.03
t = 7 years.
The formula for compounded continuously is given by
\(A=Pe^{rt}\)
Substituting the known values, we get
\(A=2500e^{0.03\cdot7}\)
On simplifying, we get
\(A=\$3084.195\)
Therefore, the amount after 7 years in $3084