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A bank offers a $25,000 loan at an interest rate of 7.7% that can be

paid back over 2 to 10 years.
A.Write the total interest formula for this loan situation. Let t repre
sent the number of years from 2 to 10 inclusive.
C.Construct a graph. Let the independent variable represent years
and the dependent variable represent the interest paid.
D. Use your graph to estimate the interest for a 6-year loan.
2

User Irvin Zhan
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1 Answer

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Final answer:

To calculate the total interest on a loan, the formula Interest = Principal × rate × time is used. For a $5,000 loan at 6% over three years, the interest would be $900. To find an interest rate given the interest received, principal, and time, the formula can be rearranged, leading to an example rate of 1%.

Step-by-step explanation:

The question involves finding the total interest paid on a loan when given the principal amount, interest rate, and time. To solve this problem, we use the formula: Interest = Principal × rate × time.

For example, to find the total amount of interest from a $5,000 loan after three years with a simple interest rate of 6%, the calculation would be:

Interest = $5,000 × 0.06 × 3 = $900.

In another scenario, if you receive $500 in simple interest on a loan that you made for $10,000 for five years, to find the interest rate you charged, you would rearrange the formula:

$500 = $10,000 × rate × 5 years

$500/$50,000 = rate

The interest rate is 1%.

User AstuteAskings
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