Exponential function - practice problems - page 5 of 10
Number of problems found: 191
- 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? S - 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?
- RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Retirement annuity
How much will it cost to purchase a two-tier retirement annuity that pays $2,000 at the end of every month for the first 10 years and $3,000 per month for the next 15 years? Assume a rate of return to the recipient of 7.6% compounded quarterly. - 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? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Interest 2 At the beginning of the year, Ms Mařasová obtained a loan from the bank of 75,000 CZK for three years at an interest rate of 12.5%. She will repay the loan and interest in one lump sum after three years. The bank compounds interest twice a year, always at
- Loan repayment calculation
At the beginning of the year, Mr. Smith 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. Smith have to re - Bank loan repayment
On 1 March, Mr. Závora obtained a loan from the bank for CZK 70,000 for four months. The interest rate is 9.5%. How much will he repay to the bank? - 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? - Invoice arrears interest
Mrs. Zdena took over the goods that were ordered, which were worth 5000€. She did not pay the invoice by the required date of 31.5.2019. Interest on arrears is 5.5% per annum. Calculate the payment as of 31.8.2019. - Side effect probability
The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - Deposit interest How much interest will the savings bank credit to the deposit of CZK 25,000 in 1 year at an annual interest rate of 2.5%?
- Slow saving in banks
How long will it take to save € 9,000 by depositing € 200 at the beginning of each year at 2% interest? - 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? - Bank deposit interest Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate the amount 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 - Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Exponential function basis
I have to calculate the basis of the exponential function f: A on x. The function passes through point A with coordinates (-2, twenty-five quarters).
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