©Zarestky Math 141 Quiz 10 Version B 12/1/2009 NAME:________________________________________ 1. (2 points) $2000 is invested in an account paying 5.65% simple interest per year. A. How much is in the account after 6 years? A = P(1 + rt) = 2000(1 + 0.0565·6) = $2678 B. How much interest is earned? Interest = Prt = A – P = 2678 – 2000 = $678 2. (2 points) If an account paying 3% interest compounded annually has a balance of $1400 after 7 years, how much was initially invested in the account? N = 1·7 = 7 I% = 3 PV = ? PMT = 0 FV = 1400 P/Y = 1 C/Y = 1 3. (3 points) You deposit $3800 in a savings account paying 4.9% per year compounded weekly. After how many years will you have $5300 in the account? N = ? = 353.2418 I% = 4.9 PV = –3800 PMT = 0 FV = 5300 P/Y = 52 C/Y = 52 3. $1138.33 was initially invested. 353.2418/52 = 6.7931 years (3 points) Your credit card has a balance of $1100 on which you are paying interest at a rate of 21.5% per year compounded monthly. How much should your payments be if you want to pay off the card in 4 years? N = 12·4 = 48 I% = 21.5 PV = 1100 PMT = ? FV = 0 P/Y = 12 C/Y = 12 The payments should be $34.36.