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Jeremy is looking for a good auto loan in his city. He is willing to pay no more than an effective rate of 7.000% annually. which if any of the following loans meet jermeys criteria?

loan A : 6.785% normal rate compounded semi annually
loan B : 6.795% nominal rate compounded, manually
loan C : 6.659% nominal rate, compounded weekly.

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Answer: To determine which loan(s) meet Jeremy's criteria of no more than an effective rate of 7.000% annually, we need to calculate the effective rate for each loan.

The effective rate is the true annual interest rate that a borrower will pay on a loan, taking into account the frequency of compounding.

Loan A: 6.785% normal rate compounded semi-annually

To calculate the effective rate, we can use the formula:

(1+ (nominal rate/2))^2 - 1

Effective rate = (1+ (6.785/2))^2 - 1 = 6.897%

Loan B: 6.795% nominal rate compounded, manually

Since the loan is compounded manually, the effective rate is the same as the nominal rate.

Effective rate = 6.795%

Loan C: 6.659% nominal rate, compounded weekly

To calculate the effective rate, we can use the formula:

(1+ (nominal rate/number of compounding periods per year))^(number of compounding periods per year) - 1

Effective rate = (1+ (6.659/52))^52 - 1 = 6.759%

Since 6.897% > 7.000% and 6.795% > 7.000% and 6.759% < 7.000%. So Loan C with 6.659% nominal rate, compounded weekly meets Jeremy's criteria.

Explanation:

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