Question 1

In his sales job, Ehud earns a base salary of $1500 per month plus a commission of 5% on sales revenue. Write an equation for calculating his gross earnings, E, for a month in terms of his sales revenue, R. If you were to plot a graph of E vs. R, what would be the slope and E-intercept of the line?

Accepted Answer

The answer of In his sales job, Ehud earns a...

Question 2

Solve the following pair of equations. Verify your solution. 0.33e + 1.67f = 292 1.2e + 0.61f = 377

Accepted Answer

The answer of Solve the following pair of equations. Verify...

Question 3

Sam earns $17.00 per hour for a forty-hour week. His overtime rate is 1 ½ times any hours exceeding forty in a week. If Sam earned $807.50 last week, how many overtime hours did he work?

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The answer of Sam earns $17.00 per hour for a...

Question 4

Solve: 5(2 - c) = 10(2c - 4) - 6(3c + 1)

Accepted Answer

The answer of Solve: 5(2 - c) = 10(2c -...

Question 5

Solve the following set of equations graphically:
x = -y - 4
y = -5x - 4

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The answer of Solve the following set of equations graphically:
x...

Question 6

Simplify and collect like terms:
$\frac{x}{2}-x^{2}+\frac{4}{5}-0.2 x^{2}-\frac{4}{5} x+\frac{1}{2}$

Accepted Answer

The answer of Simplify and collect like terms:
$\frac{x}{2}-x^{2}+\frac{4}{5}-0.2 x^{2}-\frac{4}{5} x+\frac{1}{2}$...

Question 7

A loan company dropped the interest rate it charges on second mortgages from 8.7% to 7.3%. What percent reduction did this represent?

Accepted Answer

A)  1.4% 
B)  19.2% 
C)  16.1% 
D)  14% 
E)  15.6%

Question 8

Solve: 12x - 4(2x - 1) = 6(x + 1) - 3

Accepted Answer

The answer of Solve: 12x - 4(2x - 1) =...

Question 9

Use the formula V_f = V_i(1 + c₁)(1 + c₂)(1 + c₃) to determine c₂ if V_f = $586.64, _Vi = $500, c₁ = 0.17, and c₃ = 0.09.

Accepted Answer

The answer of Use the formula V_f = V_i(1 +...

Question 10

In 2016, Canada's population reached 32,500,000, a level that was 9.53% higher than ten years earlier. Rounded to the nearest 10,000, what was the population figure for 2006?

Accepted Answer

The answer of In 2016, Canada's population reached 32,500,000, a...

Question 11

Simplify:
$P\left(1+0.095 \times \frac{135}{365}\right)+\frac{2 P}{\left(1+0.095 \times \frac{75}{365}\right)}$

Accepted Answer

The answer of Simplify:
$P\left(1+0.095 \times \frac{135}{365}\right)+\frac{2 P}{\left(1+0.095 \times \frac{75}{365}\right)}$ ...

Question 12

Evaluate and calculate to the cent: P(1 + i)ⁿ for P = $1,280, i = 0.025, n = 3

Accepted Answer

The answer of Evaluate and calculate to the cent: P(1...

Question 13

Calculate the missing value: Initial Value = 112g; Final Value =?; Percent Change = 112%

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The answer of Calculate the missing value: Initial Value =...

Question 14

A car dealership's list price on cars is 18% above cost. Recently a demo was sold for $21,000, which is 15% off the list price. Determine the cost of the demo vehicle.

Accepted Answer

A)  $21,500 
B)  $20,937 
C)  $20,500 
D)  $19,750 
E)  $17,750

Question 15

Perform the operation indicated and collect like terms: 5(2x - y)(y + 3x) - 6x(x - 5y)

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The answer of Perform the operation indicated and collect like...

Question 16

The Euro is 8% greater than the US Dollar. By what percentage is the US Dollar less than the Euro?

Accepted Answer

The answer of The Euro is 8% greater than the...

Question 17

Solve for the unknown variable: 9x + 10 = -3x + 34

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Question 18

Mutual Fund A charges an annual management fee of 2.38% of money under management. The corresponding management fee for Mutual Fund B is 1.65%. On the same invested amount, what percentage more fees will you pay to Fund A than to Fund B?

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The answer of Mutual Fund A charges an annual management...

Question 19

The formula for converting from Celsius temperatures, C, to Fahrenheit temperatures, F, is F =$\frac{9}{5}$ C + 32.
a) If you were to plot a graph of F vs. C, what would be the slope and F-intercept of the line?
b) The slope represents the change in F per unit change in C. Use the value of the slope to determine the increase in Fahrenheit temperature corresponding to a 10 Celsius-degree rise.
c) Rearrange the given formula to obtain a formula for converting from Fahrenheit temperatures to Celsius temperatures. What would be the slope and C-intercept if C vs. F were plotted on a graph?

Accepted Answer

The answer of The formula for converting from Celsius temperatures,...

Question 20

$1.5 million in bonus will be distributed to employees. Regular employees will each get an equal amount. Middle managers will get 2.5 times the regular employees bonus, while the executives get 5 times the bonus of middle managers. There are forty middle managers, 350 employees and 15 executives. Determine the bonus for regular employees, middle managers and executives.

Accepted Answer

The answer of $1.5 million in bonus will be distributed...

Exam 2: Review and Applications of Algebra

In his sales job, Ehud earns a base salary of $1500 per month plus a commission of 5% on sales revenue. Write an equation for calculating his gross earnings, E, for a month in terms of his sales revenue, R. If you were to plot a graph of E vs. R, what would be the slope and E-intercept of the line?

Solve the following pair of equations. Verify your solution. 0.33e + 1.67f = 292 1.2e + 0.61f = 377

Sam earns $17.00 per hour for a forty-hour week. His overtime rate is 1 ½ times any hours exceeding forty in a week. If Sam earned $807.50 last week, how many overtime hours did he work?

Solve: 5(2 - c) = 10(2c - 4) - 6(3c + 1)

Solve the following set of equations graphically: x = -y - 4 y = -5x - 4

Simplify and collect like terms: x2−x2+45−0.2x2−45x+12\frac{x}{2}-x^{2}+\frac{4}{5}-0.2 x^{2}-\frac{4}{5} x+\frac{1}{2}2x​−x2+54​−0.2x2−54​x+21​

A loan company dropped the interest rate it charges on second mortgages from 8.7% to 7.3%. What percent reduction did this represent?

Solve: 12x - 4(2x - 1) = 6(x + 1) - 3

Use the formula Vf = Vi(1 + c1)(1 + c2)(1 + c3) to determine c2 if Vf = $586.64, Vi = $500, c1 = 0.17, and c3 = 0.09.

In 2016, Canada's population reached 32,500,000, a level that was 9.53% higher than ten years earlier. Rounded to the nearest 10,000, what was the population figure for 2006?

Simplify: P(1+0.095×135365)+2P(1+0.095×75365)P\left(1+0.095 \times \frac{135}{365}\right)+\frac{2 P}{\left(1+0.095 \times \frac{75}{365}\right)}P(1+0.095×365135​)+(1+0.095×36575​)2P​

Evaluate and calculate to the cent: P(1 + i)n for P = $1,280, i = 0.025, n = 3