13. [ 9 points] You have \( \$ 3500 \) to invest. You can choose from two accounts in which to invest your money. The first is a simple interest account that earns \( \$ 100 \) each year. The second is a compound interest account that earns \( 3.5 \% \) interest per year. Answer the following questions: a. How long will it take to double your money in the simple interest account? 35 years \( 2 \times 3500=7000 \) \( l=7000-3500=3500 \) \( 100 x t=3500 \) \( t \frac{2500}{100}=35 \).

You deposit \( \$ 13,000 \) in an account that pays \( 1.51 \% \) interest compounded quarterly. a. Find the future value after one year. b. Use the future value formula for simple interest to determine the effective annual yield. i. Click the icon to view some finance formulas. a. The future value is \( \$ \square \). (Round to the nearest cent as needed.) b. The effective annual yield is \( \square \% \). (Round to the nearest hundredth as needed.)

25. You own a custom computer software business. You must invest \( \$ 3,255 \) for computer hardware, and spend \( \$ 2.90 \) to buy and package each disk. If each disk sells for \( \$ 13.75 \), write a system of equations and determine how many disks you must sell to break even. 26. The ballpark needs to make at least \( \$ 15,000 \) from ticket sales. The ticket prices are \( \$ 20 \) for

Determine the present value \( P \) that must be invested to have the future value \( A \) at simple interest rate \( r \) after time \( t \). \[ A=\$ 5000, r=2.5 \%, t=6 \text { years } \] The present value \( P \) that must be invested is \( \$ \) (Round up to the nearest cent.)

The principal \( P \) is borrowed at a simple interest rate \( r \) for a period of time \( t \). Find the simple interest owed for the use of the money. Assume 365 days in a year. \( P=\$ 7000, r=4.5 \%, t=18 \) months The simple interest owed for the use of the money is \( \$ \square \). (Do not round until the final answer. Then round to the nearest cent as needed.)

Suppose that you camed a bachelor's degree and now youre teaching high school. The school district offers teachers the opportunity to take a year off to eam a master's degree. To achieve this goal, you deposit \( \$ 1000 \) at the end of each year in an annuity that pays \( 5.5 \% \) compounded annually. a. How much will you have saved at the end of five years? b. Find the interest.