Exponential equation - examples
- Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt) . If jello salad with 30 degre
- Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=10 years?
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
Crystal grows every month 2.3 promile of its mass. For how many months to grow a crystal from weight 193 g to 447 g?
- When will I be a millionaire?
Chris monthly send 150 euros to the bank, which he deposits bear interest of 2.1% p.a. Calculate how many months must Chris 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% p.a. doubles.
The population grew in the city in 10 years from 14000 to 27500. What is the average annual percentage increase of population?
- Geometric sequence 3
In geometric sequence is a6 = 77760; a7= 466560; sn=93310. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
If ?, then n is:
Calculate what member of the sequence specified by ? has value 643.
- 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 AMD Phenom II X4 940 Black Edition from 2009 h
- 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.
The sum of two numbers is 10, the sum of their logarithms (base 10) is 1.1. Determine these numbers.
What is the annual interest rate on your account if we put 12700 and after 148 days received 12982.6?
- Exponential equation
In the set R solve the equation: ?
After 115 hours decreases the activity of a radioactive substance to 1/9 of the initial value. What is the half-life of the substance?
- 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.
- Exponential equation
Solve exponential equation (in real numbers): 12-x-10=18
Determine missing coordinate of the point M [x, 108] of the graph of the function f bv rule: y = 3x
- Car value
The car loses value 15% every year. Determine a time (in years) when the price will be halved.