Consider a loan of $10,000 and the following pattern of cash flows.

a. What is the interest rate that makes the present worth equal to $0.00?

b. Using the interest rate determined in part (a) and leaving the - $10,000 at year 0 in place, determine the equal annual incomes that are equivalent to the gradient series in years 1, 2, 3, and 4?

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End of Year 0 1 2 3 4 Cash Flow -$10,000 $3,000 $4,000 $5,000 $6,000