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Natalija [7]
2 years ago
12

If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

Mathematics
1 answer:
Naya [18.7K]2 years ago
5 0

If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually. This can be obtained by using formulas for simple interest and compound interest.

<h3>What is the formulas of simple interest and compound interest?</h3>
  • Simple interest

A = P(1 +Rt/100) , P = principle amount ,R = rate of interest, t = time(in years)

  • Compound interest (annually)

A = P(1 + R/100)^t , P = principal amount, R = rate of interest,                                t = time(in years)

   

<h3>What is the value of investment?</h3>

Given that,  

P = $11,000 , R = 8%,  t = 25 years

  • 8% simple interest

A = P(1 +Rt/100) = 11000(1+\frac{(8)(25)}{100} ) = $33,000

  • 8% compounded annually

A = P(1 + R/100)^t = 11000(1+\frac{8}{100} )^{25} = 11000(1.08 )^{25} = $75,333.23

Hence If $11,000 is invested, $33,000 is the value of the investment at the end of 25 years if the interest is 8% simple interest and $75,333.23 is the value of the investment at the end of 25 years if the interest is 8% compounded annually.

         

     

Learn more about simple interest and compound interest:

brainly.com/question/25663053

#SPJ1

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: If $11,000 is invested in an account for 25 years. Find the value of the investment at the end of 25 years if the interest is:

(a) 8% simple interest

(b) 8% compounded annually

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