Given:
Principal Amount, P = $4,400
Interest rate, r = 90%
Here, Camilla needs to create an exponential equation that allows her tract the interest earned over time.
This is a Compound interest problem.
To find create an exponential equation, apply the formula below:
![I=P(1+r)^t-P](https://img.qammunity.org/2023/formulas/mathematics/high-school/jpe2am52dcn4sflo3j2h19ccrk7kixzal6.png)
WHere:
P is the principal amount = $4,400
r is the rate = 90% = 0.90
t is the time (number of years)
Input values into the equation above:
![M(t)=4400(1+0.9)^t-4400](https://img.qammunity.org/2023/formulas/mathematics/high-school/eb8tihw2g0m6sl1umbwhcbhe58805mizvo.png)
Therefore, the exponential equation that allows her to track the interest earned over time is:
![M(t)=4400(1+0.9)^t-4400](https://img.qammunity.org/2023/formulas/mathematics/high-school/eb8tihw2g0m6sl1umbwhcbhe58805mizvo.png)
Plugging the value for the number of years for t, you will get the interest earned over time, t.
ANSWRER:
![M(t)=4400(1+0.9)^t-4400](https://img.qammunity.org/2023/formulas/mathematics/high-school/eb8tihw2g0m6sl1umbwhcbhe58805mizvo.png)