Exam 4: Formulas and Problem Solving

Solve the equation. $24 + t + \frac { 1 } { 3 } t = 328$

Solve the equation. x $-$ 0.47 = 0.76 Please enter your answer as a decimal.

Use the formula $i = P r t$ to reach a solution for the following problem. Find the annual interest rate if $2,381.50 in interest is earned when $4,330 is invested for 5 years. __________%

The distance between city A and city B is 762 miles. A semi-truck leaves city A and travels toward city B at 49 miles per hour. At the same time, a minivan leaves city B and travels toward city A at 78 miles per hour. How long will it take the two vehicles to meet?

Use the formula $i = P r t$ to reach a solution for the following problem. How much interest will be charged on a student loan if $9,876 is borrowed for 11 months at a 16% annual interest rate? $__________

Solve the equation. 0.28 x + 0.86( x + 246) = 404.22

If Michelle travels t hours and Nancy leaves 1/2 hour after Michelle, then Nancy's time can be expressed as t + 1/2.

If the total surface area of a right circular cylinder is $168 \pi$ square meters and a radius of the base is 6 meters long, find the height of the cylinder.

Solve the following equation. Your calculator might be of some help. 8.8( x + 9.5) = 102.96 Enter your answer as a decimal.

Solve the equation. $\frac { x - 5 } { 16 } - 1 = \frac { 5 } { 8 }$

A retailer has some candle sets that cost her $24. If she sells them for $30.00, find her rate of profit based on the cost.

Use the formula $i = P r t$ to reach a solution for the following problem. For how many years must $7,710 be invested at a 5% annual interest rate to earn $771.00? __________ years

Set up an equation and solve the following problem. Suppose that Karen, riding her bicycle at 14 miles per hour, rode 10 miles farther than Michelle, who was riding her bicycle at 12 miles per hour. Karen rode for 30 minutes longer than Michelle. How long (in hours) did Michelle ride her bicycle?

A statement of inequality between two ratios is called a proportion.

Solve the following equation and express the solution in decimal form. Your calculator might be of some help. 1.9 x + 9.1 = 11.513

The length of a rectangle is 10 times its width. If the perimeter of the rectangle is 176 inches, find its length and width.

Solve the equation. $\frac { x } { 20 } = \frac { 3 } { 4 }$

Find the area of a circular region that has a diameter of 3 yards. Express the answer in terms of $\pi$ . Enter your answer without the units.

The perimeter of a triangle is 53 feet. The longest side is 14 feet less than 5 times the shortest side, and the third side is 11 feet longer than the shortest side. Find the lengths of the sides of the triangle. Please enter your answer as three numbers without the units, listed from least to greatest, separated by commas.

The discount is the percent off times the original selling price.