Examples for secondary school students - page 62 of 213
Number of problems found: 4256
- 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. - Insert 7
Insert five harmonic means between 3 and 18 - Insert four
Insert four harmonic means between 3/7 and 3/19
- Insert 5
Insert five harmonic means between 1/2 and 1/26 - Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int - Harmonic HM example
Find the harmonic mean of 4 and 8. - Goalkeeper
Mike plays as the goalkeeper 50% of the time if Peter is the coach in a football game. But if Robert is coaching, he only has a 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be the goalie toda - 6-digit 35541
How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers?
- BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA? - Harmonic 4
Find the harmonic mean of -6 and 5. - Harmonic mean
Harmonic means of 6 and 12 - Different 35501
Dana received four new books. How many different orders can she read them? - HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively.
- HP - harmonic progression
Determine the 10th term of the harmonic progression 6,4,3,… - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,… - Interpretation 35461
The arranger should line up two identical white sweaters, two identical green sweaters, and one blue sweater in the shop window. How many possible ways can the interpretation be adjusted? - 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°. - Calculate 35223
In the ABC triangle, the angles alpha, beta, and gamma are in ratio 0.4: 0.2: 0.9. Calculate their size.
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