Use the appropriate compound interest formula to compute the balance in the following accounts after the stated period of time.

$\$ 2000$ is invested for $5$ years with an $\mathrm{APR}$ of $3 \%$ and daily compounding.

Use the compound interest formula to compute the balance in the following accounts after the stated period of time, assuming interest is compounded annually.

$\$ 3000$ is invested at an $\mathrm{APR}$ of $1.8 \%$ for $12$ years.

Find the annual percentage yield (to the nearest $0.01 \%$ ) in the following situations.

A bank offers an $\mathrm{APR}$ of $3.1 \%$ compounded daily.

Use the compound interest formula to compute the balance in the following accounts after the stated period of time, assuming interest is compounded annually.

$\$ 40,000$ is invested at an $\mathrm{APR}$ of $2.8 \%$ for $30$ years.

Use the compound interest formula to compute the balance in the following accounts after the stated period of time, assuming interest is compounded annually.

$\$ 5000$ is invested at an $\mathrm{APR}$ of $3.1 \%$ for $12$ years.

Use the compound interest formula to compute the balance in the following accounts after the stated period of time, assuming interest is compounded annually.

$\$ 10,000$ is invested at an $\mathrm{APR}$ of $4 \%$ for $10$ years.

Use the compound interest formula to compute the balance in the following accounts after the stated period of time, assuming interest is compounded annually.

$\$ 10,000$ is invested at an $\mathrm{APR}$ of $2.5 \%$ for $20$ years.

Use the savings plan formula to answer the following questions.

Your goal is to create a college fund for your child. Suppose you find a fund that offers an $\mathrm{APR}$ of $5 \%$. How much should you deposit monthly to accumulate $\$ 85,000$ in $15$ years?

Find the value of $10,000 invested for 8 years at 8% interest if the compounding is done: a. quarterly. b. continuously.

Use the appropriate compound interest formula to compute the balance in the following accounts after the stated period of time.

$\$ 25,000$ is invested for $30$ years with an $\mathrm{APR}$ of $3.7 \%$ and quarterly compounding.

You are asked to create a $5$-character password, and each character may be any of the $26$ letters of the alphabet or the $10$ numerals $0$ through $9$ . How many different passwords are possible? a. $36 \times 5$ b. $5^{36}$ c. $36^5$

Use the appropriate compound interest formula to compute the balance in the following accounts after the stated period of time.

$\$ 10,000$ is invested for $5$ years with an $\mathrm{APR}$ of $2.75 \%$ and monthly compounding.

Use the table discussed before or the appropriate formula.

Compute the compound amount and the interest on a loan of $\$ 10,500$ compounded annually for four years at $10 \%$.

Use the appropriate compound interest formula to compute the balance in the following accounts after the stated period of time.

$\$ 15,000$ is invested for $15$ years with an $\mathrm{APR}$ of $4.2 \%$ and monthly compounding.