Exam 2: Review and Applications of Algebra

A project manager needs to allocate a staff of 460 employees to a 3-stage project. Stage 2 must have 20% more staff than Stage 1. Stage 3 required 50% more than Stage 2. Determine the number of employees needed for stage 1, 2 and 3 respectively.

$754.30 is what percent less than $759.00?

Sam has $20,000 to invest. He invested part at 5% and part at 6%. His investments earned $1,120 total interest for the year. How much did Sam invest at each rate?

Evaluate the following: 2.48832^1/5 =

Use the graphical method to solve the following pair of equations. x + y = 2 x = 5

Solve for the unknown rounded to the nearest dollar. $\frac{x}{1.036^{4}}+4 x(2.6)^{-2}=2,189.70$

$100 is what percent more than $90?

The annual dues for the Southern Pines Golf Club are $2140 for regular members and $856 for student members. If the total revenue from the dues of 583 members for the past year was $942,028, how many members did the club have in each category?

Perform the operation indicated and collect like terms: $\frac{120(1+i)^{2}+180(1+i)^{3}}{360(1+i)}$

After Island Farms increased the container size for its premium ice cream from 1.65 L to 2.2 L, the retail price increased from $5.49 to $7.98. What was the percent change in the unit price?

The value of c is 4 given the formula 21c - 15 = 18 - 12c.

Simplify: $\left(-\frac{2 x^{2}}{3}\right)^{-2}\left(\frac{5^{2}}{6 x^{3}}\right)\left(-\frac{15}{x^{5}}\right)^{-1}$

Evaluate: 15g - 9h + 3 for g = 14, h = 15

What amount reduced by 15% equals $100?

Graph following equation: 3x - 4y + 12 = 0 over the range x = -8 to x = 12

Simplify and collect like terms: (5s - 2t) - (2s - 4t)

Broadway Mazda usually spends half as much on radio advertising as on newspaper advertising, and 60% as much on television advertising as on radio advertising. If next year's total advertising budget is $160,000, how much (rounded to the nearest dollar) should be allocated to each form of advertising?

At a United Way fund raiser, students sold cinnamon buns for $2 each or 3 for $5. They sold 500 all together, and raised $900. How many of the 3 for $5 were sold?

Evaluate the following: $\left(\frac{4}{3}\right)^{2}\left(\frac{3}{4}\right)^{-3}\left(\frac{4}{3}\right)^{-5}$

A plumber charges a flat $100 for a home service call plus $20 per 15 minutes of labour. Write an equation for calculating the total charges, C, in terms of the hours of labour, H. If you were to plot a graph of C vs. H, what would be the slope and C-intercept of the line?