Linus has just won the "Wait To Spend" lottery. Specifically Linus has won the lump sum amount of $$2550$ but he must wait until the end of $10$ years to receive the money. Linus is in need of cash and would rather receive a different pattern of payments: $$200$ today and then receive some unknown LUMP SUM $($i$.$e$.$ one time$)$ amount that will be received in $10$ years. Using an interest rate of $11\mathrm{.}50\%,$ determine the unknown lump sum amount that would make the present value of both prizes Jackson just received a settlement in a lawsuit that promises two future payments of $$410,$ the first payment at the end of the $6$th year, and the second at the end of the $11$ year. Jackson, being profligate, doesn't want to wait and instead wants instead to spend all of the settlement money today. What is the present value of his settlement assuming the interest rate of $8\%?$

Farmer Ben knows that feeding a grain supplement to his cows will produce more milk according to the following schedule:

Total Pounds..

of Supplement Used.

Total Extra Pounds

$.$of Milk

$4$:$06$ PM

$10$

$13$

$14$

$\mathrm{.}15$

$6.$

$\mathrm{.}15\mathrm{.}5$

Ignoring all other issues, how many

An amount of $$900$ invested for $7$ years at the rate of $2\%$ compounded continuously grows to what value?