Exponentiation - practice problems - page 6 of 15
Number of problems found: 288
- Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values. - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers. - Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23 - Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit? - Exponential equation solving
Solve the exponential equation: 8 raised to x = 40 - Curiosity factor
A blogger starts a new website. Initially, the number of visitors was 293. The owner estimated that traffic would increase by 2.6% per week. What will the number of visitors be in week 5? - The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase? - Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years. - Expression value puzzle
Number 1 is the value of the expression: a 5-3 b. 22 - 32 c. (2 - 3)² d. 2 - 32 e. 32 - 22 - Cell division
At the end we could have something simpler and a bit (at least mathematically) more fun... At the beginning there was nothing... But no, here we have at the beginning one single cell. This cell is not just any ordinary cell, it is special, because there i - Cube Surface Ratio Edges
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube. - Substitution method
Solve a goniometric equation: sin4 θ - 1/cos² θ=cos² θ - 2 - Earth moon distance
The Earth's distance from the moon is 3,844.10 to the eighth meter. How many kilometers is it? - Precious metals
From 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, and silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41. - Cube surface and volume
Find the surface of the cube with a volume of 27 dm³. - Powers 3
2 to the power of n divided by 4 to the power of -3 equals 4. What is the value of n? - Boys and girls
There are eight boys and nine girls in the class. There were six children on the trip from this class. What is the probability that: a) only boys went on the field trip b) just 2 boys went on the field trip - Natural number digits
There is no 0 in the decimal notation in natural numbers; there are even numbers or odd numbers, each at least once. Find the number of all k-digit natural numbers. - Jakub
Jacob multiplied 11 times the number 100 by 10 and then divided the result 10 times by 10. What number did he get? - Last digit
What is the last number of 2016 power of 2017
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