Power - math word problems - page 11 of 31
Number of problems found: 603
- Granddaughter
In 2014, the sum of the ages of Meghan's aunt, her daughter, and her granddaughter was equal to 100 years. We know the age of each can be expressed as the power of two. In what year was the granddaughter born? - Electric cooker
During which time does an electric cooker with power input P = 500 W and efficiency n = 75% heat water with mass m = 2 kg and temperature t1 = 10°C to the boiling point (t2 = 100°C)? The specific heat capacity of water is c = 4 180 J/kg/K. - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions. - Present value
A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years? - Future value
Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned? - Efficiency 35023
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - The cube
The cube has a surface of 600 cm². What is its volume?
- Multiplied 34241
Peter multiplied 100 by 100 by ten and then divided the result by 10 by 10. What numbers does he get? - Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)? - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __? - Two xeroxes
The performances of the two copiers are in the ratio of 3:4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours? - Concrete column
The concrete column of the highway bridge has the shape of a block with dimensions of 1m x 0.8m x 25m. Crane should lift it to a height of 20m. What is the power of his engine if the lifting takes 2 minutes? - Perpendicular 32733
Calculate the right triangle ABC, the perpendicular b = 43.5 cm of the hypotenuse c = 72.9 cm. Calculate: A hypotenuse segment cb, side a, a hypotenuse segment ca, and a height of triangle v - Calculate 32513
Block area: S = 376 cm² the sides are in the ratio a: b: c = 3:4:5 calculate its volume
- Proportion 32471
The lengths of the sides of the two squares are in the ratio of 5:7. In what proportion will their area be? - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block? - Cube V2S
The volume of the cube is 27 dm cubic. Calculate the surface of the cube. - Millimeter 30041
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter. - Extending square garden
Mrs. Petrová's garden had a square shape with a side length of 15 m. After its enlargement by 64 m² (square), it became a square again. How many meters has the length of each side of the garden been extended?
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