Assume that your parents wanted to have $ 140 comma 000 saved for college by your 18th birthday and they started saving on your first birthday. they saved the same amount each year on your birthday and earned 11.0 % per year on their investments. a. how much would they have to save each year to reach their goal? b. if they think you will take five years instead of four to graduate and decide to have $ 180 comma 000 saved just in case, how much would they have to save each year to reach their new goal?

Instructions are listed below

Explanation:

Giving the following information:

Assume that your parents wanted to have $ 140,000 saved for college by your 18th birthday and they started saving on your first birthday.

Interest= 11.0 % per year.

A) We need to find the annual payment made every birthday:

FV= {A*[(1+i)^n-1]}/i

A= annual payment

n=18

FV= 140,000

i= 0.11

Isolating A:

A= (FV*i)/[(1+i)^n-1]

A=(140,000*0.11)/[(1.11^18)-1]

A= $2778

B) Now FV= $180,000

A=(180,000*0.11)/[(1.11^18)-1]

A= $3571.72

answer; enforce the rules;

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20