Homework#6

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San Diego State University *

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E330

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Mathematics

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Jan 9, 2024

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pdf

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Homework #6. 2.110 A single deposit made 30 years ago by your grandmother is worth $45,000 today. If the account earned interest at 10% per year, the amount she deposited was closest to: a. $2579 b. $3285 c. $4565 d. $8505 P = 45,000(P/F,10%,30) = $2578.50 Answer is (a) 2.111 An arithmetic gradient has cash flow of $1000 in year 4, $1200 in year 5, and amounts increasing by $200 per year through year 10. If you use the factor 200( P G ,10%,?) to find P in year 3, the value of n to use in the P G factor is a. 6 b. 7 c. 8 d. 9 Answer is (b) 2.113 For the diagram shown, the respective values of n to calculate the present worth in year 0 by the equation P 0 = 100( P A ,10%, n 1)( P F ,10%, n 2) are a. n 1 = 6 and n 2 = 1 b. n 1 = 6 and n 2 = 2 c. n 1 = 7 and n 2 = 1 d. n 1 = 7 and n 2 = 2
Answer is (a) 2.117 An enthusiastic new engineering graduate plans to start a consulting firm by borrowing $100,000 at 10% per year interest. The loan payment each year to pay off the loan in 7 years is closest to: a. $18,745 b. $20,540 c. $22,960 d. $23,450 A = 100,000(A/P,10%,7) = 100,000(0.20541) = $20,541 Answer is (b) 2.118 Charley, an engineer who believes in the “save now, play later” philosophy wanted to retire in 20 years with $1.5 million. At a 10% per year return on his investments, the amount he must invest each year (starting in year 1) to reach the $1.5 million goal is closest to: a. $26,190 b. $28,190 c. $49,350 d. $89,680 A = 1,500,000(A/F,10%,20) = 1,500,000(0.01746) = $26,190 Answer is (a)
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