$[5$:$39$ p$.$m$.,2024-03-27]$ Jashan: $6.$ Kenny holds a note which promises to pay $$20,000$ in four years. However, Kenny sells the note to Spencer six months later. If Spencer wishes to earn $7\mathrm{.}5\%$ c$.$q$.$ interest, how much should he purchase the note for from Kenny?

$7.$ Rockefeller Engineering Inc. has an investment of $$40,000$ earning $4\%$ c$.$a$.,$ due in $4$ years. Two years later they sell the investment to a broker. If the broker aims to earn $8\%$ c$.$a$.,$ how much should he purchase the investment for?

$8.$ Franklyn purchases a $$2,000$ plus $10\%$ c$.$a$.$ note that will mature in two years. Eight months later, Franklyn sells the note to Benjamin. If Benjamin wishes to earn $12\%$ c$.$m$.,$ how much should he purchase the note for?

$9.$ Lisa holds a note promising $$4,000$ plus $4\%$ c$.$a$.$ interest, due in two years. Six months later, she decides to sell it to Marcy for $$3,400.$ What rate of simple interest will Marcy earn?

$10.$ Madison Medical Diagnostics Services has an investment of $$140,000$ earning $2\%$ c$.$a$.,$ due in ten years. A broker purchases the investment for $$140,000$ eight months before it is due. What rate of simple interest will the broker earn?

$90$

$[5$:$40$ p$.$m$.,2024-03-27]$ Jashan: $11.$ Frederick takes out a loan of $$10,000$ at $4\%$ c$.$m$.$ He will make a $$3,000$ payment in three months, six months and nine months from today.

a$.$ How much will the final payment be if the debt is to be discharged one year from today?

b$.$ How much total interest will Frederick be charged?

$12.$ Barbara takes out a loan of $$15,000$ at $8\%$ c$.$m$.$ She will make a $$4,000$ payment in two months, four months and ten months from today.

a$.$ How much will the final payment be if the debt is to be discharged one year from today?

b$.$ How much total interest will Barbara be charged?

$13.$ A loan of $$80,000$ is taken out at $2\%$ c$.$a$.$ and is to be repaid in three yearly payments of $$20,000.$ Determine the balance immediately after the third payment.

$14.$ A loan of $$10,000$ is taken out at $4\%$ c$.$m$.$ and is to be repaid in five monthly payments of $$1,600.$ Determine the balance immediately after the fifth payment. i want to solve only even question its time value of money unit of business mathmatics