Mathematics Expert Q&A

The fee that a driver pays to have automobile insurance is called a deductible.

Net worth is the difference between a person's assets and their liabilities.Net worth can be a positive number or a negative number.

A FICO score is named after its creator,Fair,Isaac,and Company.It summarizes the probability that a person with debt will repay that debt.

A COLA is based on the Consumer Price Index.

The Jacksons sublet their summer cottage during the winter and spring months.For each month they receive 72% of their monthly mortgage of $1,750.The Jacksons earn $1,260 for the six-month period.

Federal and state laws provide rules on the lowest hourly rate that can be paid to a worker in the United States.What is that rate called?

A) Regular hours
B) Minimum wage
C) Double-time
D) Maximum wage

Steve and Elizabeth decide to become partners in a children's cooking school.They need $80,000 for the franchise.They invest in a 3:4 ratio,respectively.About what percent of the business is owned by Elizabeth?

A) 34%
B) 43%
C) 57%
D) 80%

A spreadsheet is an example of an electronic matrix.

Jeff prepares meals in the home of his customers.His fixed cost for transportation and supplies is $14.50.The labor and groceries needed for each family meal is $8.80,so the expense function is E = 5.7q + 8.8.

Solution A has a pH of 4.9 and solution B has a pH of 8.8. The acidity (pH) is a measure of the hydrogen ion concentration H + (measured in moles of hydrogen per liter) of solution. Acidity is modeled by $\mathrm{pH}=-{\log }_{10}\left[{\mathrm{H}}^{+}\right]$ . The hydrogen ion concentration of solution A is how many times the concentration of solution B.

A) The concentration of solution A is approximately 7,943 times the concentration of solution B.
B) The concentration of solution A is approximately 3.9 times the concentration of solution B.
C) The concentration of solution A is approximately 20 times the concentration of solution B.
D) The concentration of solution A is approximately 3.6 times the concentration of solution B.
E) The concentration of solution A is approximately 1.8 times the concentration of solution B.

Simplify the expression $\ln e^{6x-5}$ .

A) $6x-5$
B) $(6x-5)\ln (6x-5)$
C) $e^{6x-5}$
D) $(6x-5)e^{6x-5}$
E) $6x+5$

Use the formula for slope to find the value of y such that the line through the points (-2,2) and (1,y) has slope of m= $-\frac{8}{3}$ .

A) y=-2
B) y=2
C) y=6
D) y=5
E) $y=-6$

Find the x - and y -intercepts of the graph of the equation $y=7x+9$ .

A) x -intercept: $\frac{9}{7}$ y -intercept: 9
B) x -intercept: - $\frac{9}{7}$ y -intercept: 9
C) x -intercept: -7 y -intercept: 9
D) x -intercept: 7 y -intercept: 9
E) x -intercept: 9 y -intercept: $\frac{9}{7}$

Determine the quadrant in which the point is located without plotting the point. $(34,-21)$

A) Quadrant III
B) Quadrant II
C) Quadrant I
D) Quadrant IV

What is the most commonly used measure of dispersion?

A) Range
B) Mean deviation
C) Standard deviation
D) Variance

If the Canadian dollar is worth18% less than the U.S. dollar, by what percentage does the U.S. dollar exceed the value of the Canadian dollar?

A) 15%
B) 18%
C) 24%
D) 21.95%
E) 20%

Perform the operation indicated and collect like terms:
$\frac{18x^2}{3x}$

Perform operations and gather like terms:
$\frac{5b-4}{4}-\frac{25-b}{1.25}+\frac{7}{8}b$

Solve $\frac{|a+8|}{2}\ge 20$ , if possible. Write the answer in set notation.

A) $\{a\mid a\le -48\text{ or }a\ge 32\}$
B) $\{a\mid a\le -96\text{ or }a\ge 64\}$
C) $\{a\mid -48\le a\le 32\}$
D) $\{a\mid -96\le a\le 64\}$
E) no solution

Determine which of the ordered pairs is a solution of the equation. $x+6y-4=0$

A) $\left(2,\frac{1}{6}\right)$
B) $\left(3,\frac{1}{3}\right)$
C) $\left(1,\frac{1}{3}\right)$
D) $\left(2,\frac{1}{3}\right)$
E) $\left(1,\frac{1}{6}\right)$