tpsavage5445 tpsavage5445
  • 21-01-2020
  • Business
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How much must be deposited at the beginning of each year to accumulate to $25,000 in two years if interest is at 9%?

Respuesta :

Dryomys Dryomys
  • 22-01-2020

Answer:

$10,974.05

Explanation:

Given that,

Amount to accumulated = $25,000 in two years

Interest rate = 9%

Let the amount be X,

Total amount after two years:

= Year 1 + Year 2

= X(1.09)^2 + X(1.09)

= 1.1881 X + 1.09X

= 2.2781 X

SO,  Total amount after two years:

2.2781 X = 25,000

X = 25,000 ÷ 2.2781

  = $10,974.05

Hence, the amount deposited at the beginning of each year is $10,974.

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