A deposit of 50 is made at the beginning of each month in an account that pays 8% interest. compounded monthly. The balance A in the account at the end of 5 years is given by

$A=50\left(1+\frac{0.08}{12}\right)^{1}+\cdots+50\left(1+\frac{0.08}{12}\right)^{00}$. Find A.

You need $10,000 in your account 3 years from now and the interest rate is 8% per year, compounded continuously. How much should you deposit now?

You deposit $2500 in an account that pays 3.5% annual interest compounded continuously. What is the balance after 8 years?

A deposit of $50 is made at the beginning of each month in an account that pays 2$A=50\left(1+$\frac{0.02}{12}$\right)^{1}+\cdots+50\left(1+$\frac{0.02}{12}$\right)^{72}$ Find A.

Amy began with 25 doller in her bank account and spent 5 doller each day. The line shows the amount of money in her bank account. She incorrectly wrote an equation for the line in slope-intercept form as y=-5 x+5.

What is the correct equation for the line in slope-intercept form?..

You need 5,000 dollars for a trip to Europe in two years. How much would you have to deposit monthly in a savings account paying 1 percent in order to meet your goal?

Indicate whether the statement is true or false. A deposit of $735,000 into an account earning 5% compounded annually is sufficient to generate annual payments of$35,000 in perpetuity, starting now.

The parents of a 9-year-old boy have agreed to deposit $10 in their son's bank account on his 10th birthday and to double the size of their deposit every year thereafter until his 18th birthday.

a. How much will they have to deposit on his 18 th birthday?

b. How much will they have deposited by his 18 th birthday?

Indicate whether the statement is true or false. If annual deposits of $3000 are made at the beginning of each year into an account paying 2% interest per year, compounded annually, then the account balance after the fourth deposit is$3000(1.02)^4+3000(1.02)^3+3000(1.02)^2+3000(1.02)$ dollars.

The amount of money, A(t), in Ina's savings account after t years is modeled by dA/dt = 0.0418A.

a) What is the continuous growth rate?

b) Find the particular solution, A(t), if Ina's account is worth $3479.02 after 2 yr.

c) Find the amount that Ina deposited initially.

Rachel had $80 in a savings account before making several withdrawals and deposits as shown in the table. How much money in dollars did Rachel have in the account after the activity shown?

$${\text { Rachel's Savings Account }} \\ \begin{array}{|l|c|} \hline {\text { Activity }} & \text{ Amount (\$) } \\ \hline \text { Starting Balance } & 80 \\ \hline \text { Deposit } & 10 \\ \hline \text { Deposit } & 5 \\ \hline \text { Withdrawal } & 20 \\ \hline \text { Deposit } & 10 \\ \hline \text { Withdrawal } & 15 \\ \hline \end{array}$$

Kendrick deposits twice as much money into his account as he did the day before. His initial deposit is $\$5$. Write an equation to model his daily deposit $y$, $x$ days after his initial deposit.

Joy Wigens, who works at Putnam Investments, received a check for $1,600. She deposited 1/4 of the check in her Citibank account. How much money does Joy have left after the deposit?

Manuel deposits $\$ 10,000$ for $12 \mathrm{yr}$ in an account paying $8 \%$ compounded annually. He then puts this total amount on deposit in another account paying $10 \%$ compounded semiannually for another 9 yr. Find the total amount on deposit after the entire $21-\mathrm{yr}$ period.