Exponential function - practice problems - page 7 of 10
Number of problems found: 191
- Account operations
My PHP 90,000 savings in a bank earns 6% interest in a year. If I deposit an additional PHP 10,000 at the end of 6 months, how much money will be left if I withdraw PHP 25,000 after a year? - Population growth
How many people will be on Earth from two people for 5,000 years if every couple always has four children (2 boys and two girls) at the age of 25-35, and every man will live 75 years? - 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.
- 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? - Bank Interest Over Months On January 2nd, 2009, Johnny's father deposited €3,000 in the bank's passbook. The bank provides an annual interest of 0.30% for deposits up to €5,000. However, Johnny's father collected the money after eight months. What is interest in euros added to it?
- 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?
- Car Depreciation Over Years
The price of the car was € 15,000. What will be the price of a car with an annual depreciation of 1% in 8 years? - 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
- Sequence Third Term Value
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93. - Exponential equation
Solve for x: (4^x):0,5=2/64. - Saving 9 An amount of $2000 is invested at an interest of 5% per month. If $200 is added at the beginning of each successive month but no withdrawals are made, give an expression for the value accumulated after n months. After how many months will the accumulated
- Bank account
Peter succumbed to a bank's tempting offer, opened an account, and deposited CZK 1,051 into it. The account bore interest at 1.4%, credited once a year. The fee for maintaining this account was only CZK 140 per year. After seven years, he enjoyed how his
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