Find the present value for the given future amount. Round to the nearest cent. \( A=\$ 8000,11 \) years \( r=4 \% \) compounded semiannually

1. If you deposit \( ₹ 8,000 \) into an account paying \( 7 \% \) annual interest compounded quarterly, how long until there is \( \$ 12,400 \) in the account?

2. How much money would you need to deposit today at \( 9 \% \) annual interest compounded monthly to have \( \equiv 12,000 \) in the account after 6 years?

How much would you need to deposit in an account now in order to have \( \$ 2000 \) in the account in 10 years? Assume the account earns \( 6 \% \) interest compounded monthly. Round to the nearest cent.

The sales tax rate for the state of Washington was \( 8.1 \% \). What is the state sales tax on a \( \$ 2,600 \) car in Washington? \$ What is the final cost of the car, including tax? \$

Today - Solve exponential equations in context Rachel deposited \( \$ 1,000 \) at \( 2.8 \% \) annual interest, compounded monthly. In how many years, to the nearest tenth of a year, will she have \( \$ 2,500 \) in the account?