Exam 2: Review and Applications of Algebra

Solve for x to five-figure accuracy: $\frac{2 x}{1+0.13 \times \frac{92}{365}}+x\left(1+0.13 \times \frac{59}{365}\right)=\$ 831$

Solve the following to four decimal places $\frac{1+1.0385^{-5}}{.0385}$

The Canucks charge $150 for Premium Tickets and $80 for Standard Tickets. If 18,500 tickets were sold for the Montreal game and $2,215,000 in revenues were recorded, how many Premium and Standard tickets were sold?

Simplify: $\frac{\left(x^{5}\right)^{6}}{x^{9}}$

Evaluate and calculate to the cent: $R\left[\frac{(1+i)^{n}-1}{i}\right]$ for R = $550, i = 0.085, n = 3

Solve the following pair of equations. Verify your solution. 0.03x + 0.05y = 51 0.8x - 0.7y = 140

The Hungry Heifer diner offers an all-you-can-eat buffet at $12.95 per adult and $8.95 per child. On a particular day, the diner had total buffet revenue of $3,304.70 from 266 customers. How many of the customers were children?

$100 is what percent less than $110?

The difference between two numbers is 42. If one-half of the larger number is three more than twice the smaller number, what are the two numbers?

Simplify and collect like terms: $\frac{12 x y-6 y^{2}}{3 y}$

Simplify and collect like terms: $\frac{P}{1+0.07 \times \frac{5}{12}}+2 P\left(1+0.07 \times \frac{4}{12}\right)$

Colby inherited a small savings-bond portfolio consisting of four $1,000 face-value Canada Savings Bonds and six $1,000 face-value Ontario Savings Bonds. In the first year, the portfolio earned $438 interest. At the end of the first year, Colby cashed in one of the Canada Savings Bonds and two of the Ontario Savings Bonds. In the following year, the remaining bonds earned $306 interest. What annual rate of interest did each type of bond earn?

After adding $2 \frac{1}{4} \%$ to a sum of money, the new amount is $45,000.00. What was the original amount of money?

The number of hammers sold?

Solve: 1.25y - 20.5 = 0.5y - 11.5

Alicia pays 38% income tax on any additional earnings. She has an opportunity to work overtime at 1.5 times her base wage of $23.50 per hour. Rounded to the nearest quarter hour, how much overtime must she work to earn enough money (after tax) to buy a canoe that costs $2750 including sales taxes?

General Paint and Cloverdale Paint normally offer the same prices. For its Spring Specials Sale, General Paint has marked down the price of outdoor latex paint by 30%. What percentage more will you pay if you buy paint at the regular price at Cloverdale?

Solve for the unknown rounded to two decimal places $\frac{4 x}{1.15^{3}}-1,000-\frac{x}{1.098^{6}}=\frac{4,580}{1.25^{-2}}$

Simplify the following: b⁸ / b²

Perform the operation indicated and collect like terms: 4a(3ab - 5a + 6b)