# Exponential equation - examples

- Powers 3

2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n? - Microorganisms

The first generation of micro-organisms has a population of 13500 members. Each next generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - Crystal

Crystal grows every month 1.9 promile of its mass. For how many months to grow a crystal from weight 360 g to 593 g? - When will I be a millionaire?

Shawn monthly send 220 euros to the bank, which he deposits bear interest of 2.4% p.a. Calculate how many months must Shawn save to save 1000000 euros? Inflation, interest rate changes or bank failures ignore. - Compound interest

Calculate time when deposit in the bank with interest 2.5% p.a. doubles. - Demographics

The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population? - Geometric sequence 3

In geometric sequence is a_{8}= 312500; a_{11}= 39062500; s_{n}=1953124. Calculate the first item a_{1}, quotient q and n - number of members by their sum s_n. - Exp

If ?, then n is: - Sequence

Calculate what member of the sequence specified by ? has value 86. - 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. - 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 a year rose CPU performance when Intel 486DX from 1992 has 54 MIPS. What - Sum-log

The sum of two numbers is 32, the sum of their logarithms (base 10) is 2.2. Determine these numbers. - Interest

What is the annual interest rate on your account if we put 32790 and after 176 days received 33939.2? - Exponential equation

In the set R solve the equation: ? - To the cinema

Jane at 8 am got message that all 1093 school pupils will go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way the message spread further. At what time all the children in. - 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): 9^{8x-2}=9 - Coordinate

Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5^{x} - Car value

The car loses value 15% every year. Determine a time (in years) when the price will be halved. - Lion or virgin

We toss coin, every throw fits lion or a virgin with equal probability 1/2. Determine how much at least we have to make throws that with probability 0.9 lion fell at least once.

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