215 A A B P C FV D PV E PMT 216 A A 50000 B P 50000 C FV 50000 D PV 50000 E PMT

# 215 a a b p c fv d pv e pmt 216 a a 50000 b p 50000 c

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215. A) A= ? B) P= ? C) FV= ? D) PV= ? E) PMT= ? 216. A) A= 50000 B) P= 50000 C) FV= 50000 D) PV= 50000 E) PMT= 50000 217. A) r= 4 B) r= 0.4 C) r= 0.04 D) r= .04/12 E) r= NA 218. A) n=1 B) n=4 C) n=12 D) n=365 E) n= NA 219. A) t= 20 B) t= 20/12 C) t= 1 D) t= 20/365 220. The Eisenstein’s purchase a house for \$210,000. They make a down payment of 30% and borrow the rest with a loan at 5.7% interest compounded monthly for 20 years. Their monthly mortgage payment is \$1,027.87. What was their ending balance after making one payment? 10
221. An investor wants to earn \$600 in interest in one year and will invest money in two bonds. One bond offers a return of 12% simple interest and the other bond offers a return of 6% simple interest. If the investor has \$8,000 to invest, how much should be invested in each bond? 222. A regression analysis is done on hours of sleep ( x ) vs grade on Exam 2. The regression equation is found to be y = 40 + 5 x . Determine the Exam 2 grade predicted with 3 or 10 hours of sleep. 223. Find an equation of a line through the points (1 , 4) and (5 , 4). 224. Find the slope of the line y = 6. 225. Find an equation of the line parallel to 5 x 4 y = 11 that passes through the point ( 7 , 2). 226. A student’s correct work in solving a system yields a result of: braceleftBigg x + 2 y = 5 0 = 1 What does this mean? 227. A linear system has nonzero constants a,b,c and d , as below. What relationship between the values of a,b,c and d make the solution of the system be one solution? braceleftBigg y = ax + b y = cx + d 228. Determine which of the following are solutions of the system below. Choose all that apply: braceleftBigg 3 x 4 y < 10 x + 5 y 12 A) (1,1) B) (0,0) C) (-2,4) D) (1,5) E) (-5,3) 229. At \$.20 per selfie, 20 selfies are supplied and 50 are demanded. At \$.50 per selfie, 80 are supplied and 20 are demanded. Assuming selfie supply and demand is linear, find the price-demand equation for the selfies. 230. The result of RREF produced the following matrix. What is the solution of the system? 1 0 2 0 0 1 0 5 0 0 0 0 231. Davenport Dairy Farms must lease a fleet of 24 refrigerated over-the-road tanks to transport 520,000 gallons of milk. Refrigerated tanks with three different carrying capacities are available for lease: 8,000 gallons, 16,000 gallons, and 24,000 gallons. How many of each type of tanks should be leased? 232. Solve the system 2 x 1 + x 2 + 3 x 3 = 9 x 1 x 2 3 x 3 = 6 2 x 1 + 5 x 2 + 6 x 3 = 6 11
233. A company makes and sells widgets. It costs \$5 to produce and ship each widget. Each widget sells for a price of \$9. Each monthly, company has to pay \$20,000 for rent, electricity and salaries. Find the cost function. 12
Solutions to Sample Exam A: 1 . Yes. Either plug in x = 1 or solve the equation to see this. 2 . F = S Mb 1 b or equivalent. 3 . 22 4 . Anything in which there the solution depends on some particular values of the variable and is not always true. For instance, x = 4 or 3 y = 15 are conditional equations. Answers will vary. 5 . 19.44 years. If the problem suggested she had to wait until the end of the year to receive interest, then the answer would have been 20 years.

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