Power - math word problems - page 11 of 30
Number of problems found: 599
- 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, __, __?
- Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r.
- Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations
- 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?
- Quadrilateral 29201
How much sheet is needed for a roof with the shape of a regular quadrilateral pyramid if its edge is 2.8 m long and the height of the roof is 0.8 m? Calculate 10% for the overlap (extra).
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