which expression represents the growth of an investment of $1,500 at 12% per year for a period of t…

which expression represents the growth of an investment of $1,500 at 12% per year for a period of t years?\n1500(12)^t\n1500(0.12)^t\n1500t^{1.12}\n1500(1.12)^t

which expression represents the growth of an investment of $1,500 at 12% per year for a period of t years?\n1500(12)^t\n1500(0.12)^t\n1500t^{1.12}\n1500(1.12)^t

Answer

Explanation:

Step1: Recall compound - interest formula

The formula for compound - interest when compounded annually is $A = P(1 + r)^t$, where $P$ is the principal amount, $r$ is the annual interest rate (as a decimal), and $t$ is the number of years.

Step2: Identify values of $P$ and $r$

Here, $P=$1500$ and $r = 12%=0.12$.

Step3: Substitute values into formula

Substituting $P = 1500$ and $r = 0.12$ into $A = P(1 + r)^t$, we get $A=1500(1 + 0.12)^t=1500(1.12)^t$.

Answer:

D. $1500(1.12)^t$