Exponential equation - practice problems - last page
Number of problems found: 138
- Half life
Determine the half-life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. - Geometric sequence
In the geometric sequence, is a4 = 20 a9 = -160. Calculate the first member a1 and quotient q. - Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers.
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Interest
What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2? - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - Coordinate
Determine the unknown coordinate of the point M [x, 54] of the graph of the function f by rule: y = 3x - Log
If log4 x+ log8 x = log_b x, what is b?
- Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g? - Sequence
Calculate what member of the sequence specified by (5n-2+15) has value 20. - Exponential equation
In the set R, solve the equation: 7 -5 +19x=4 3 -20x - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles.
- Radioactivity
After 548 hours decreases, the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance? - Exponential equation Solve exponential equation (in real numbers): 23x-6=9
- Computer revolution
When we started playing with computers, the first processor, which I remember was the Intel 8080 from 1974, with the performance of 0.5 MIPS. Calculate how much percent of a year rose CPU performance when Intel 486DX from 1992 has 54 MIPS. What would - When will I be a millionaire?
Barry monthly sends 280 euros to the bank, which he deposits bear interest of 2.1% p. A. Calculate how many months Barry must save to save 1000000 euros. Inflation, interest rate changes, or bank failures are ignored.
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