Quantitative Reasoning

A car loses half its value every 3 years. If 6 years after it was made it is worth $12,000 less than its original value, how many dollars will be worth 9 years after it was made? a. 1000 b. 2000 c. 3000 d. 4000 e. 6000 - Answer: 2000 At the beginning you know the car is worth x, after 3 years its worth x/2, after 6 its worth x/4, and after 9 its worth x/8. x-12000 = x/4 = 3x=48000 -- x = 16000 x 1/8 = 2000 (1200 less than original value) Sherry invests money in stock. Her initial investment is 3000 and after one month the stock's value increases by 20%. After another month, her investment's value increases again, this time by 10% of the previous month's value. How much is her investment worth now? a. 3300 b. 3840 c. 3960 d. 4000 e. 4150 - Answer: 3960 What is the distance between (-6,7) and (4,31)? a. 10 b. 18 c. 24 d. 26 e. 37 - Answer: 26 The formula for the distance d between two points (x1, y1) and (x2,y2) is d=squareroot ((x2-x1)^2 + (y2-y1)^2) For new car purchases, an automobile company allows the selection of the two free "extras" from a list of seven. How many different ways can a car be customized with extras? a. 21 b. 28 c. 35 d. 42 e. 49 - Answer 21 You multiple 7 by 6 and not 7 by 7 because you can't pick the same thing twice. But you have to divide 7 x 6 by 2 because picking a cupholder and a basket is the same as picking a basket and a cup holder. y+8 is what percent of y^3 - 4 when y=4? a. 20 b. 25 c. 33 1/3