The measure of the side of a square is tripled. If x represents the perimeter of the original square, what is the value of the new perimeter?
Answer(s): A
Since x represents the perimeter of the original square, 3x represents the perimeter of the new square. If each side is tripled, the perimeter also triples.
An investment yields an interest payment of $68 each week. If the simple annual interest rate is 7.5%, what is the amount of the investment assuming there only 48 weeks are calculated in a year?
Answer(s): E
Principal × percent interest = interest earnedPrinciple × (0.075) × 1/(12 x 4) = $68. Solve to find the principal (68 × 12 x 4)/0.075= $43,520.
The flying acrobatic team is made up of 120 airplanes. The team wants to form a rectangular formation with X planes in a row and Y planes in a column. If the number of airplanes in a row is no less than 4 and no more than 30, how many different combinations of rectangular shapes are possible?
Use the factors of 120 are: 1x120, 2x60, 3x40, 10x12, 4x30, 5x24, 6x20 and 8x15. We are looking for combinations of (row x column) that are all between 8 and 30.The possibilities are: 8x15, 15x8, 4x30, 30x4, 5x24, 24x5, 6x20, 20x6, 10x12 and 12x10. That is 10 possibilities total.
A storeowner estimates that the average price of type A products will increase by 25% next year and that the price of type B products will increase by 10% next year. This year, the total amount paid for type A products was $4500 and the total price paid for type B products was $8300. According to the store owner’s estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
The total estimated amount that will be spent on type A product next year:The total estimated amount that will be spent on type B product next year: Giving a total spending of $14,755.
If a cube has a volume of 64 cubic feet, what is its lateral area?
Answer(s): D
The side of a cube equals the cubic root of its volume; in this question it is 4. The lateral area of a cube equals the sum of four faces; in this question each face is 16, and the lateral area is four times that, giving 64.
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