aaliyah invested $680 in an account paying an interest rate of 5.6% compounded continuously. assuming no…

Explanation:

Step1: Identify the formula

The formula for continuous - compounding is $A = Pe^{rt}$, where $A$ is the amount of money in the account after $t$ years, $P$ is the principal amount (initial investment), $r$ is the annual interest rate (in decimal form), and $t$ is the number of years.

Step2: Convert the interest rate to decimal

The interest rate $r = 5.6%=0.056$, $P = 680$, and $t = 6$.

Step3: Substitute values into the formula

$A=680\times e^{0.056\times6}$. First, calculate the exponent: $0.056\times6 = 0.336$. Then, find $e^{0.336}$. Using a calculator, $e^{0.336}\approx1.39877$. Next, multiply by the principal: $A = 680\times1.39877$. $A=680\times1.39877 = 951.1636$.

Answer:

$$951.16$