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Use the simple interest formula to find the interest.
$ 8500
Let's start by looking at the second row of the given table!
| Principal | Annual Interest Rate | Time | Simple Interest |
|---|---|---|---|
| $12 000 | 4.25 % | 5 years | $2550 |
| 6.5 % | 18 months | $828.75 |
We want to calculate the principal. We can do so using the simple interest formula that tells us that the simple interest I is the product of the principal P, annual interest rate (in decimal form) r, and time (in years) t.
a*b/c= a* b/c
Cancel out common factors
Simplify quotient
Identity Property of Multiplication
a* b/c=a/c* b
Calculate quotient
The time t is equal to 1.5 year. We also know that the interest rate of 6.5 % can be written as 0.065. Now, we can substitute these values into the formula.
Substitute values
Multiply
.LHS /0.0975.=.RHS /0.0975.
Write as a fraction
a/b=.a /25./.b /25.
.a/b /c/d.=a/b*d/c
Multiply fractions
Multiply
Calculate quotient
a* b/c=a*b/c
a/a=1
Identity Property of Multiplication
Rearrange equation
The principal is $ 8500. We can add this information to the table.
| Principal | Annual Interest Rate | Time | Simple Interest |
|---|---|---|---|
| $12 000 | 4.25 % | 5 years | $2550 |
| $ 8500 | 6.5 % | 18 months | $828.75 |