Exam 2: Review and Applications of Algebra

Perform operations and gather like terms: $\frac{x}{1+0.085 \times \frac{63}{365}}+2 x\left(1+0.085 \times \frac{151}{365}\right)$

Evaluate to six-figure accuracy: $\left[\left(-\frac{3}{4}\right)^{2}\right]^{-2}$

Classic Homes has found from experience that there should be 40% as many two-bedroom homes as three-bedroom homes in a subdivision, and twice as many two-bedroom homes as four-bedroom homes. How many homes of each type should Classic build in a new 96-home subdivision?

What amount when decreased by 62% equals $213.56?

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?

Evaluate accurate to the cent: $\frac{R}{i}\left[1-\frac{1}{(1+i)^{n}}\right]$ for R = $575, i = 0.085, n = 3

BCIT is considering decreasing its student to teacher ratio by 20%. Currently there are 35 students per instructor. By what amount should instructors be increased?

The manufacturer of Caramalt chocolate bars wants to implement a 7.5% increase in the unit retail price along with a reduction in the bar size from 100 g to 80 g. If the current retail price of a 100-g bar is $1.15, what should be the price of an 80-g bar?

A moving company charges an hourly rate plus a per kilometer rate. Sam paid $128.50 for his rental, having traveled 77Km over a 6 hour period. Taylor paid $205 for her rental, having traveled 140 km over a nine hour period. Determine the hourly rate and per Km rate charged by the rental company.

Graph following equation: y = 4 over the range x = -3 to x = 6

Evaluate the following expression: P(1 + rt), for P = $1575, r = .055, $t=\frac{168}{365}$

$250 is what percent less than $750?

Evaluate to six-figure accuracy: (1.0085)⁵ (1.0085)³

$75 is 75% more than what amount?

Evaluate to six-figure accuracy: (1 + 0.0275)^1/3

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

The following numerical coefficient(s) of $3 a b^{2}-4 a^{2}+2$ , is/are:

Solve the following pair of equations. Verify your solution. x - y = 2 3x + 4y = 20

Evaluate to six-figure accuracy: $\sqrt[6]{1.05}$

In 1985 a 100 gram chocolate cost $0.50. The same chocolate now has decreased to 80 grams and costs $1.75. Calculate the percentage change in grams.