Exponential function - examples
- Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is: sn≤217.
- 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=6 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 2.2 promile of its mass. For how many months to grow a crystal from weight 160 g to 311 g?
The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?
How many are all subsets of set ??
If you deposit 959 euros the beginning of each year, how much money we have at 2.1% (compound) interest after 19 years?
Apply for a $ 59000 loan, the loan repayment period is 8 years, the interest rate 7%. How much should I pay for every month (or every year if paid yearly). Example is for practise geometric progression and/or periodic payment for an annuity.
Calculate what member of the sequence specified by ? has value 86.
Calculate how much you earn for 10 years 43000 deposit if the interest rate is 1.3% and the interest period is a quarter.
The town has 65,000 inhabitants. 40 years ago there were 157,000. How many people will live in town in 10 years if the average rate in population is as in previous years?
- 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
- 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.
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.
Determine missing coordinate of the point M [x, 120] of the graph of the function f bv rule: y = 5x
- Deposit 3
After a year had Martin on bank account € 2028. What was the interest rate when the initial deposit was € 1879?
- Car value
The car loses value 15% every year. Determine a time (in years) when the price will be halved.