A small oil company wants to replace its Micro Motion

Berikut ini adalah pertanyaan dari danis6221 pada mata pelajaran Ekonomi untuk jenjang Sekolah Menengah Atas

A small oil company wants to replace its Micro Motion Coriolis flowmeters withnickel-based steel alloy flowmeters from the Emerson F-Series. The replacement
process will cost the company $50,000 three years from now. How much money must
the company set aside each year beginning 1 year from now in order to have the total
amount in 3 years? Assume the company earns a generous 20%per year on investment
funds!

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Jawaban:

To find out how much money the company must set aside each year, we need to use the compound interest formula. This formula is used to calculate the amount of money that an investment will earn over a period of time, taking into account the effects of compounding interest.

To calculate the amount of money that the company must set aside each year, we need to use the following formula:

A = P * (1 + r/n)^nt

Where:

A is the amount of money that the company must set aside each year

P is the total cost of the replacement process ($50,000 in this case)

r is the annual interest rate (20% in this case)

n is the number of times that the interest is compounded per year (1 in this case, since the company only wants to set aside the money once per year)

t is the number of years that the company will be setting aside the money (3 in this case)

Plugging in the values from the problem into the formula, we get:

A = $50,000 * (1 + 0.20/1)^3*1 = $50,000 * (1.20)^3 = $50,000 * 1.7648 = $88,240

Therefore, the company must set aside $88,240 per year beginning 1 year from now in order to have the total amount in 3 years.

It's important to note that this calculation assumes that the company will earn a generous 20% per year on its investments. If the company's actual returns are different, the amount of money that it must set aside each year will also be different.

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Last Update: Fri, 03 Mar 23