Suppose an investment account is opened with an initial deposit of $12,000 earning 7.2% interest compounded continuously. How much will the account be worth after 30 years?

Jamal wants to save $\$ 54,000$ for a down payment on a home. How much will he need to invest in an account with $8.2 \%$ APR, compounding daily, in order to reach his goal in 5 years?

For the following exercise,

Use the compound interest formula, $A(t)=P\left(1+\frac{r}{n}\right)^{n t}$.

Use properties of rational exponents to solve the compound interest formula for the interest rate, $r$.

For the following exercises, evaluate each function. Round answers to four decimal places, if necessary. $f(x)=2(5)^{x}, \text { for } f(-3)$

For the following exercises, identify whether the statement represents an exponential function. Explain. The height of a projectile at time t is represented by the function $h(t)=-4.9 t^{2}+18 t+40.$

Nathan puts $200 into a checking account when he gets his paycheck each month. The value of his checking account is modeled by$200 \llbracket m \|$, where m is the number of months that Nathan has been working. After 105 days, how much money is in the account?

You invest an amount of money at an annual simple interest rate of $6.25 \%$. You invest a second amount, $\$ 500$ less than the first, at an annual simple interest rate of $6 \%$. Let $x$ represent the amount invested at $6.25 \%$. Complete the following table.

Prove that $D_{n}$ is isomorphic to a subgroup of $S_{n}$.

Use the compound interest formula, $A(t)=P\left(1+\frac{r}{n}\right)^{n t}$.

Use the formula found in the previous exercise calculate the initial deposit of an account that is worth $\$14,472.74$ after earning $5.5\%$ interest compounded monthly for $5$ years. (Round to the nearest dollar.)

An account is opened with an initial deposit of $6,500 and earns 3.6 interest compounded semi annually. What will the account be worth in 20 year? How much would the account have been worth if the interest were compounding weekly?

For the following exercise, use the compound interest formula, $A(t)=P\left(1+\frac{r}{n}\right)^{n t}$.
Use the formula found in the previous exercise to calculate the interest rate for an account that was compounded monthly, had an initial deposit of $\$ 5,500$, and was worth $\$ 38,455$ after 30 years.

For the following exercises, use the compound interest formula, $A(t)=P\left(1+\frac{r}{n}\right)^{n t}$.

Use the formula found in the previous exercise to calculate the interest rate for an account that was compounded monthly, had an initial deposit of $5,500, and was worth$38,455 after 30 years.

Use the compound interest formula, $A(t)=P\left(1+\frac{r}{n}\right)^{n t}$.

Solve the compound interest formula for the principal, $P$.

For the following exercise,

Use the compound interest formula, $A(t)=P\left(1+\frac{r}{n}\right)^{n t}$.

Solve the compound interest formula for the principal, $P$.