Write a formula for the nth term of the given geometric sequence. Do not use a recursion formula.
, - 
, 
, - 
, ...
A. an = 
- 
(n - 1)
B. an = 
n - 1
C. an = 
n - 1- 
D. an = 
- 
(n - 1)
Answer: B
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Evaluate the integral using the given substitution.
dx , u = 2x - 3
A. (2x - 3)-5 + C
B. - 
(2x - 3)-7 + C
C. - 
(2x - 3)-5 + C
D. - 
(2x - 3)-5 + C
Simplify.-5x - 4(x + 4y)
A. -9x - 16y B. -6x - 16y C. -9x + 16y D. -9x + 4y
Solve. Simplify the answer.Brian was training to run a marathon. During the three-day period before the race he decided that he would train for a total of 10 hours. If he trained for 2
hours on the first day and 2
hours on the second day, how many hours would he need to train on the third day?
A. 4
hr
B. 5
hr
C. 4
hr
D. 4
hr
Solve the problem.You inherit $70,000 from a very wealthy grandparent, with the stipulation that for the first year, the money must be invested in two stocks paying 4% and 10% annual interest, respectively. How much should be invested at each rate if the total interest earned for the year is to be $4000?
A. $20,000 invested at 4%; $50,000 invested at 10% B. $50,000 invested at 4%; $20,000 invested at 10% C. $30,000 invested at 4%; $40,000 invested at 10% D. $40,000 invested at 4%; $30,000 invested at 10%