Applied Math Level 6

Mikey recently had new carpet installed. The cost of this new carpet, including installation, was $8.14 per square foot before any discounts. The rectangular room he had carpeted measured 24 feet long and 18 feet wide. If Mickey actually paid $3,235.16, what discount percentage did he receive? Assume there are no taxes.

Jules is working on a title for his most recent work. He wants to call it “\(x\) Meters Under The Sea” where \(x\) is rounded to the nearest whole number. To determine \(x\) he needs to find the number of meters in 20,000 leagues. He knows that there are 1609.3 meters in 1 mile. He also knows that there are 3.452 miles in 1 league. What is the correct value for \(x\)?

The number of SuperPhone batteries produced is doubling each year. In year one, 10,000 of these batteries were made. If 0.8 kilograms of Lithium are used to make 100 (one hundred) SuperPhone batteries, how many kilograms of Lithium will be required for the SuperPhone batteries produced in year four?

Nadia charges her customers $0.55 per square inch to provide a custom paint-job for the front surface of metal picture frames. How much should you expect her to charge for the frame shown below?

Ron buys a designer shirt on sale for 40% off. The price of the shirt before the discount is applied is $59. A 7% sales tax is applied to the price of the shirt after discount. Which of the following equations can be used to determine P, the amount Ron will owe the cashier?

Gold has a current value of $1200/cm³ (1,200 dollars per cubic centimeter). You have a mold that you use to create gold bars in the shape of a rectangular prism. If the base of the mold is a rectangle with length of 4 cm and a width of 3 cm, to what height (in cm) must you pour the melted gold to create a bar with a value of $100,000? Round your answer to the nearest tenth.

Amazoo Company donates 2% of the sales of its killer whale stuffed animal toy to a charity focused on protecting these animals. Each toy sells for $25. Last year the company donated $1,699.50 to the charity, based on sales of the toy. How many of the killer whale stuffed animal toys did Amazoo sell last year?

A coupon for a specific lamp model states “Buy 2 lamps at the regular price and receive a 3rd lamp at half-price.” Which of these equations would be useful in finding the regular price of the lamp, p, if a customer using the coupon to purchase 3 lamps pays $82.40 in total before tax?

The marketing department from a large truck manufacturer is conducting research to help them benchmark their new pickup truck against the pickup trucks of three other manufacturers. The four pickups are simply labeled A, B, C, and D.

When 120 people are asked to select their overall favorite pickup of the four, \(\frac{2}{15}\) prefer pickup A, \(\frac{9}{40}\) prefer pickup B, and \(\frac{7}{24}\) prefer pickup C. What fraction of the people prefer pickup D?

Airport runways have threshold markings comprised of white-painted rectangles that are 150 feet long and 5.75 feet wide. There are 12 of these stripes on a particular runway. What is the total area in square meters (m²) of these 12 stripes? (1 meter = 3.28 feet)