Time + exponential equation - practice problems - page 3 of 4
Number of problems found: 64
- 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? - An investment
How long will it take for an investment to double at a simple interest rate of 5.10% per annum? Express the answer in years and months, rounded up to the next month. - 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 - One-eighth 6206
Water lilies grow on the pond, and their number doubles every day. We will cover the whole level in 12 days. In how many days will one-eighth of the surface be covered? - Water lilies
Water lilies are growing on the pond, and their number is doubling every day. The whole layer is covered in 12 days. How many days will it cover eight layers? - 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 we placed jello salad at 30 - Interest 6047
Mr. Demikát took out a loan worth 5,000 euros from the bank with an interest rate of 12 percent. How many months will it repay if the monthly payment is 80 euros?
- Interest 6043
Mr. Vysoky took out a mortgage on the house. He borrowed a total of 2 million for ten years. The interest rate was 2.3%. How much will Mr. Vysoky pay in total if the interest rate does not change? - Increases 5807
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase? - Calculate 5770
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere - Repay, interest, loan
Ramchacha takes a loan amount of 240000 from a bank for constructing a house at a simple interest rate of 12% per annum. After one year of taking the loan, he rents the house at the rate of 5200 per month. Determine the number of years he would take to re - Determine 5592
Karel took out a loan of EUR 600 from Ivan 20.2 at a 20% annual rate. From January 10.5, a loan of 1100 Euros at a 14% rate. From Milan 15.9, a loan of 900 Euros at an 11% rate. All three return 30.12. Determine the annual interest rate for all three loan
- Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics) - The deposit
A deposit has been placed for one year at an annual rate of 4.5%. The amount rose to € 2,612.5 after one year. Find initial deposit. - Precision 3390
The price of the device is reduced by one-fifth every year. How long before the price of the device drops to one-tenth of the price? Specify years and months with precision. - To the cinema
Jane at 8 AM got a message that all 1093 school pupils would 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 do all the scho - Car value
The car loses value by 15% every year. Determine a time (in years) when its price will halve.
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