$33.$ You will be receiving cash flows of: $$1,000$ today, $$2,000$ at end of year $1,$ $$4,000$ at end

of year $3,$ and $$6,000$ at end of year $5.$ What is the present value of these cash flows at an

interest rate of $7\%?$

A$.$ $$9,731\mathrm{.}13$

B$.$ $$10,412\mathrm{.}27$

C$.$ $$10,524\mathrm{.}08$

D$.$ $$11,524\mathrm{.}91$

$34.$ You're ready to make the last of four equal, annual payments on a $$1,000$ loan with a $10\%$

interest rate. If the amount of the payment is $$315\mathrm{.}47,$ how much of that payment is accrued

interest?

A$.$ $$28\mathrm{.}68$

B$.$ $$31\mathrm{.}55$

C$.$ $$100\mathrm{.}00$

D$.$ $$315\mathrm{.}47$

$35.$ How much interest is earned in just the third year on a $$1,000$ deposit that earns $7\%$

interest compounded annually?

A$.$ $$70\mathrm{.}00$

B$.$ $$80\mathrm{.}14$

C$.$ $$105\mathrm{.}62$

D$.$ $$140\mathrm{.}00$

please explain these with formulas thank you :)