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Bill Payne visits his local bank to see how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%. Provide Bill with the solution to his problem in years

User Viirus
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2 Answers

6 votes

Final answer:

It will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

Step-by-step explanation:

To find out how long it will take for $1,000 to amount to $1,900 at a simple interest rate of 12 ½%, we can use the simple interest formula:



Interest = Principal × Rate × Time



Where:



  • Principal is the initial amount of money, which is $1,000 in this case
  • Rate is the interest rate as a decimal, which is 12.5% or 0.125
  • Time is the number of years it will take for the amount to accumulate, which we need to find out



Substituting the values into the formula:



Interest = $1,900 - $1,000

$1,900 - $1,000 = $900



$900 = $1,000 × 0.125 × Time



To find Time, we can rearrange the formula:



Time = $900 / ($1,000 × 0.125)

Time = 0.72 years



Therefore, it will take approximately 0.72 years for $1,000 to accumulate to $1,900 at a simple interest rate of 12 ½%.

User Henri Gourvest
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User Zpangwin
by
6.3k points
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