Using Excel or a financial calculator, solve for the unknowns in each of the following situations.

$($a$)$ On June $1,2024,$ Carol Lawrence purchases lakefront property from her neighbor, Josh Hutcherson, and agrees to pay the purchase price in $11$ payments of $$18,500$ each, the first payment to be payable June $1,2025.($Assume that interest compounded at an annual rate of $7\mathrm{.}70\%$ is implicit in the payments.$)$ What is the purchase price of the property? $($Round answer to $2$ decimal places, es$.25251$

Purchase price of the property

$ $$

$($b$)$ On January $1,2024,$ Sheridan Corparation purchased $250$ of the $$1,000$ face value, $8\%$ coupon, $10-$year bonds of Sterling inc The bonds mature on January $1,2034,$ and pay interest annually beginning January $1,2025.$ Sheridan purchased the bonds to yield $10\mathrm{.}10\%.$ How much did Sheridan pay for the bonds? $($Round answer to $2$ decimal places e$8.25\mathrm{.}25.)$

Sheridan paid for the bonds $ $$