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Mr. Hopper expects to retire in 30 years, and he wishes to accumulate $1,000,000 in his retirement fund by that time. If the interest rate is 12 percent per year, how much should Mr. Hopper put into his retirement fund at the end of each year in order to achieve this goal? a) $8,287.32 b) $12,483.17 c) $4,143.66 d) $4,000.00

Respuesta :

Answer:

Annual payment = $4,143.66 (Approx)

Explanation:

Given:

P = $1,000,000

r = 12% = 0.12

n = 30

Find:

Annual payment

Computation:

[tex]Annual\ payment=P[\frac{(1+r)^n-1}{r} ] \\\\Annual\ payment=1,000,000[\frac{(1+0.12)^{30}-1}{0.12} ] \\\\ Annual\ payment=4143.66[/tex]

Annual payment = $4,143.66 (Approx)

The act of quitting one's job or occupation, as well as one's active working life, is known as retirement.

Quasi can also be achieved by lowering work hours or workload. Many people decide to retire when they are too elderly or being unable to function due to medical issues.

Mr. Hopper should put the payment of $4,143.66 (Approx) into his retirement fund at the end of each year in order to achieve the goal.  

The provided information is:

P = $1,000,000

r = 12% = 0.12

n = 30

The calculation of the annual payment is shown below:

[tex]\text{Annual payment}= P\frac{(1+r)^{n}-1 }{r}[/tex]

[tex]\text{Annual payment}= 1000000[\frac{(1+0.12)^{30}-1 }{0.12}][/tex]

Annual payment = $4143.66

Therefore the correct option is C.

To know more about the calculation of the annual payment, refer to the link below:

https://brainly.com/question/24108530