Exponential equation - practice problems - page 5 of 8
Number of problems found: 144
- 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. - Machine depreciation
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 - Geometric progression In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
- Water Lilies Doubling Days
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 doubles every day. If the whole layer is covered in 12 days, how many days will it take to cover one-eighth of the pond?
- 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 - Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years? - Investment
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? - Daylight depth intensity
The intensity of daylight penetrating seawater decreases exponentially depending on its depth. At a depth of 6m, it is reduced by half. The underwater camera needs at least 75% of the daylight intensity for recording. To what depth can we use it under thi - Loan Repayment Months 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?
- Mortgage Interest Total 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?
- Dividing Money Among Children A family has 5,000 € to divide between their two children aged 10 and 14. They will open an account for each child at the same bank, compounded quarterly at a fixed annual interest rate of 2.75%. Determine how the family must split the available sum betwe
- Wood Mass Doubling Time
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase? - Loan Repayment with Interest
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 - Loan Interest Rate Equalization Charles 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 Milo 15.9, a loan of 900 Euros at an 11% rate. All three return 30.12. Determine the annual interest rate for all three loa
- Exponential equation
Solve for x: (4^x):0,5=2/64. - Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6 cm by 4 cm be enlarged to fit on a 30 cm by 20 cm page? - 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) - Population growth The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be?
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