15) John\'s first year salary was $8000. His salary the next year was $16000. Jo
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Question
15) John's first year salary was $8000. His salary the next year was $16000. John's second year salary was what percent greater that his first year salary?
a) 2% b) 8% c) 50% d) 100% e) 200%
16) If the value, V, of a tractor t years from its date of manufacture is given by the function V(t) = $72,000(1-1/6)^t, how many years from its date of manufacture will the value of the tractor be $50,000?
a) 1 b) 2 c) 3 d) 3.5 e) 4
17) what happens to the volume of a right circular cylinder when its radius is doubled and its height is divided by 2?
a) it gets 6 times bigger b) it gets 2 times bigger c) it gets 8 times bigger d) it gets 4 times bigger e) it stays the same
18) If f(x) = x^3 + 2 and 3f(2k) = -18, what is the value of f(k)?
a) 1 b) -1 c) 0 d) 6 sqrt 2 e) -6 sqrt 2
19) How many non-overlapping squares with sides of length 2 can fit inside a circle with a diameter 4 sqrt 2?
a) 0 b) 1 c) 2 d) 3 e) 4
20) An amusement park ride can only seat people safely if they are between 40 and 80 inches tall. Which of the following equations can be used to accurately determine whether a person who is x inches tall can be seated safely on the ride?
a) | x + 60 | = 20 b) |x - 60| = 20 c) |x - 60| > 20 d) |x - 60| < 20
Explanation / Answer
15) John's first year salary was $8000. His salary the next year was $16000. John's second year salary was what percent greater that his first year salary?
a) 2% b) 8% c) 50% d) 100% e) 200%
Answer : increase n salary = $(16000 - 8000) *100 / 8000 = 100%
16) If the value, V, of a tractor t years from its date of manufacture is given by the function V(t) = $72,000(1-1/6)^t, how many years from its date of manufacture will the value of the tractor be $50,000?
a) 1 b) 2 c) 3 d) 3.5 e) 4
a) it gets 6 times bigger b) it gets 2 times bigger c) it gets 8 times bigger d) it gets 4 times bigger e) it stays the same
Volume of a right circular cylinder ,V = 3.14 *r^2* h
now new radius = 2r and hieght = h/2
volume = 3.14 * (2r)^2 * h/2
= 3.14 *2*r*h = 2 V
hence volume gets 2 times bigger.
18)If f(x) = x^3 + 2 and 3f(2k) = -18, what is the value of f(k)?
a) 1 b) -1 c) 0 d) 6 sqrt 2 e) -6 sqrt 2
3f(2k) = -18
f(2k) = -6
(2k)^3 +2 = -6
(2K)^3 = -8
2k = -2
k =-1
19) How many non-overlapping squares with sides of length 2 can fit inside a circle with a diameter 4 sqrt 2?
a) 0 b) 1 c) 2 d) 3 e) 4
answer : 4
20) An amusement park ride can only seat people safely if they are between 40 and 80 inches tall. Which of the following equations can be used to accurately determine whether a person who is x inches tall can be seated safely on the ride?
a) | x + 60 | = 20 b) |x - 60| = 20 c) |x - 60| > 20 d) |x - 60| < 20
Answer : d) |x - 60| < 20
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