Problem 10
Which option best expresses that the author is confident in his point of view? (A) NO CHANGE (B) Dubitably, (C) While there are merits to both sides of the issue, (D) Clearly,
Problem 10
What is the solution(s) for \(x\) in this equation? $$ \frac{12}{\sqrt[3]{x}}=4 $$ (A) \(-3\) and 81 (B) \(-27\) and 27 (C) 9 only (D) 27 only
Problem 10
The amount of money \((A)\) in a bank account after a principal amount \((P)\) is on deposit for \(t\) years at an annual interest rate \(r\) compounded \(n\) times per year is given by this equation: $$ A=P\left(1+\frac{r}{n}\right)^{n t} $$ Suppose that a banker would like to determine how changes in these variables would cause the bank to pay less interest to its clients. Which of the variables \(-P, r, n\), and \(t-\) if minimized, would cause less interest paid to clients? (A) \(P\) only (B) \(r\) and \(t\) only (C) \(n\) and \(t\) only (D) \(P, r, n\), and \(t\)
Problem 10
When \(x>0\), which of these expressions is equivalent to \(\frac{1}{\frac{1}{2 x}}+\frac{3}{\frac{6}{4 x}}\) ? (A) \(4 x\) (B) \(7 x\) (C) \(\frac{1}{2} x-4\) (D) \(x^{2}-12\)
Problem 11
David has two quarters for every five dimes in his change dish, with no other coins present. If he has a total of \(\$ 2\) in coins in the dish, how many total coins does he have? (A) 12 (B) 14 (C) 16 (D) 18
Problem 11
If \(\left(x^{2}\right)^{\frac{1}{5}}+\sqrt[5]{32 x^{2}}=a x^{\frac{2}{5}} \quad\) for all values of \(x\), what is the value of a? (A) 0 (B) 3 (C) 5 (D) 16
Problem 11
Which of these equations, when combined into a set of equations with \(4 x=2 y-6\), will result in no solutions to the set? (A) \(y=x-4\) (B) \(y=2 x+10\) (C) \(y=4 x-1\) (D) \(y=\frac{1}{4} x-6\)
Problem 11
(A) NO CHANGE (B) Enriching one's life and community, is well worth regularly delving into great books. (C) Enriching one's life and community is well worth regularly delving into great books. (D) Enriching one's life and community; is well worth regularly delving into great books.
Problem 12
A chef is making cookies from scratch. He requires a set period of time to gather the ingredients and to get everything set up to make the cookies. Then the chef needs a set period of time to make each individual cookie. If c represents the total number of cookies he is making and if t represents the total amount of time it takes to make \(c\) cookies, what is the meaning of the 20 in this equation: \(\mathrm{t}=20+10 \mathrm{c}\) ? (A) How much time it takes to make each individual cookie (B) The fixed cost of the cookie ingredients (C) The maximum number of cookies he can make in 10 minutes (D) The amount of time it takes him to set things up prior to making a cookie
Problem 12
A dry cleaner has a computer program to determine the price it will charge an individual customer to clean a bag full of shirts (S) and pants (P). The total cost in dollars (C) is given by the following expression: $$ C=10 S+6 P+5 $$ What does the constant 5 most likely represent in the above expression? (A) A set fee the cleaner assesses to do any amount of cleaning (B) The cost to clean a shirt (C) The cost to clean a pair of pants (D) The total minimum cost to clean either one shirt or one pair of pants
