Examples of equations for high school - page 17 of 63
Number of problems found: 1249
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Withdraw 37161
We will put € 8,500 into the bank at 1.3% interest, and we want to withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places. - Diameter 36363
With a single pull, the wire diameter is reduced by 10%. How many draws are required to minimize the wire diameter from 5 mm to less than half? - Hard cone problem
The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone. - If you 4
If you deposit $2500 in an account paying 11% annual interest compounded quarterly, how long until there is the $4500 in the account? - If you 2
If you deposit $4000 into an account paying 9% annual interest compounded monthly, how long until there is $10000 in the account? - Semiannually compound interest
If you deposit $ 5,000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account? - Compound Interest
If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long until there is $12600 in the account? - 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. - Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°. - The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom? - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Three groups
In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, and in the third group CZK 25,000. The average sa - Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long - The product of the roots
Find the product and the sum of the roots of x² + 3x - 9 = 0 - How many
How many different rectangles with integer side lengths have an area S = 60 cm²? - Staircase
On a staircase 3.6 meters high, the number of steps would increase by three if the height of one step decreased by 4 cm. How high are the stairs? - Please
Please determine the solvability conditions of the equation, solve the equation and perform the test: x divided by x squared minus 2x plus1 the whole minus x + 3 divided by x squared minus one is equal to 0: x/(x²-2x+1) - (x+3)/( x²-1) = 0 - 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] lies on the line p C) parametric equations - Inequality: 33371
Solve the quadratic inequality: -2x² + 4x + 6
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