Jessica needs \( \$ 4587 \) for a future project. She can invest \( \$ 3000 \) now at an annual rate of \( 7.2 \% \), compounded monthly. Assuming that no withdrawals are made, how long will it take for her to have enough money for her project? Do not round any intermediate computations, and round your answer to the nearest hundredth.

laptop has a listed price of \( \$ 520.99 \) before tax. If the sales tax rate is \( 6.75 \% \), find the total cost of the laptop with sales tax included. ound your answer to the nearest cent, as necessary. \$ \( \square \)

Find the present value of \( \$ 7,000 \) to be received in 5 years, if money may be invested at \( 7.2 \% \) with interest compounded continuously. The present value is \( \$ \square \). (Round to the nearest cent as needed.)

A farm purchased in 2000 for \( \$ 1 \) million was valued at \( \$ 3 \) million in 2008. If the farm continues to appreciate at the same rate (with continuous compounding), when will it be worth \( \$ 14 \) million? Find a function \( \mathrm{A}(\mathrm{t}) \) that gives the current value of the farm. \( \mathrm{A}(\mathrm{t})=\square \) (Type an exact answer.)

2 Jane sells jewellery. Her weekly commission is based on a sliding scale of on the first \( \$ 2500 \) of her sales, \( 5 \% \) on the next \( \$ 5000 \) and \( 1 \% \) thereafter. She also gets a weekly retainer of \( \$ 500 \) Jane's weekly commission

What is the approximate balance after 20 years? Choose the correct answer below. \( \begin{array}{ll}\text { A. } \$ 200 & \text { B. } \$ 400 \\ \text { C. } \$ 100 & \text { D. } \$ 10 \\ \text { b) About how fast is the balance increasing after } 20 \text { years? } \\ \text { Choose the correct answer below. } \\ \begin{array}{ll}\text { A. } \$ 5 / y e a r & \text { B. } \$ 200 / y e a r \\ \text { C. } \$ 20 / y e a r & \\ \text { c) Use the answers to parts a) and b) to determine the interest rate. }\end{array} \\ \text { The interest rate is } \square \% .\end{array} \)