Exponential function + geometric progression - practice problems - page 2 of 4
Number of problems found: 72
- The town
The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years? - Saving for education
Suppose a couple invested Php 50 000 in an account when their child was born to prepare for a college education. If the average interest rate is 4.4% compounded annually, a, Give an exponential model for the situation b, Will the money be doubled by the t - Annual interest
A loan of 10 000 euros is to be repaid in annual payments over ten years. Assuming a fixed 10% annual interest rate compounded annually, calculate: (a) the amount of each annual repayment (b) the total interest paid. - Interest rate
We borrowed CZK 50,000. The annual interest rate was 6%. We have to repay the entire debt in 5 years. How much will we pay? (use the compound interest relationship).
- Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%. - Depreciated 37521
The initial price of the machine is 12000 euros. 21% of its price is depreciated yearly due to wear and tear. What value will the machine have after five years? - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Statistical 36383
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming - Estimated 36373
The amount of wood in a specific forest area is estimated at 2,106 m3, and the annual wood growth is 2.1%. What will be the situation after 20 years?
- Present value
A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years? - Savings
Suppose on your 21st birthday you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments until your 51st birthday (30 years), How much money is in your account? How much of it is interesting? Sh - Future value
Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned? - Retirement annuity
How much will it cost to purchase a two-level retirement annuity that will pay $2000 at the end of every month for the first ten years and $3000 per month for the next 15 years? Assume that the payment represents a rate of return to the person receiving t - Common ratio
If 200 units of a commodity are consumed in the first year, and if the annual rate of increase in consumption is 5% (a) what amount is consumed in the 8th year; (b) in the first 15 years?
- Beginning 31671
At the beginning of the year, Mr. Novák borrowed CZK 30,000 for two years with an interest rate of 11.8%. He will repay the debt at once after two years. The bank pays interest once a year, always at the end of the year. How much does Mr. Novák have to re - Exponential decay
A tank contains 55 liters of water. Water is flowing out at the rate of 7% per minute. How long does it take to drain the tank? - The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Entrepreneur 22941
Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate what the amount will be on the deposit account after three years. - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
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