Determine the cost of the points and the new interest rate for each loan amount and interest

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Determine the cost of the points and the new interest rate for each loan amount and interest rate. Assume each point costs 1% of the loan amount.
a. $400,000, original APR 4.1%, 1 point with a 0.2% discount
b. $250,000, original APR 3.95%, 2 points with a 0.25% discount per point
c. $300,000, original APR 3.51%, 3 points with a 0.125% discount per point
d. $550,000, original APR 4.75%, 1 point with a 0.3% discount
e. $1,000,000, original APR 4.45%, 2 points with a 0.215% discount per point

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