Time + arithmetic progression - practice problems - page 2 of 3
Number of problems found: 51
- Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%. - 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 - 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? - 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?
- This year
This year 2020, is a leap year. How many leap years had there been since 1904? - The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the father's age today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two and three months, the father's age will be the su - 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
- Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double? - Pilsen circus
A city citizen saw the circus's arrival in Pilsen in the morning at 08:00. He passed this information at 08:15 to three other city residents. Each of these three people then informed the other three residents at 08:30, and again at 08:45, they reported th - Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the - Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values.
- Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit? - Curiosity factor
A blogger starts a new website. Initially, the number of traffic was 293 due to their curiosity factor. The business owner estimated that the traffic would increase by 2,6% per week. What will be the number of it in week 5? - The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase? - Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - Depreciate 6413
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach
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