Exponential function - practice problems - page 3 of 10
Number of problems found: 191
- Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - Compounded monthly
Find the compound amount if Php 150,000.00 is deposited in a bank paying 9% p.a. compounded monthly for three years. - Bacteria test tube
Bacteria in a test tube divide into two every second, with each new bacterium having the same volume as the original. At exactly midnight, the test tube was full. At what time was the test tube half full? - A town
A town has a population of 18000 and grows by 2% every year. What will be the population after 11 years, to the nearest whole number? - MP3 player
Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player? - Loan interest periods The bank provides loans with an interest rate of 5% pa. How much interest will you pay if you borrow 5,000 euros for: A) 1 year B) 1/2 year C) 1/4 year D) 5 years?
- Wendy Wendy deposits R6500 into an account, paying 8% annual interest compounded monthly. How much money will be in her account after 84 months of paying 8% annual interest compounded continuously?
- Installment late fee It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 per mille per day. What debt will be incurred at the end of the year?
- Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w - Retirement saving
Deryl wishes to save money to provide for his retirement. Beginning one year from now, he will begin depositing the same fixed amount each year for the next 30 years into a retirement savings account. Starting one year after making his last deposit, he wi - Annual deposit savings
A person deposits 5,000 euros into a bank account at the beginning of each year for 10 years. He does not make any other deposits or withdrawals from the account. Determine the total amount saved at 8% compounded annually when interest is compounded annua - Double of principal How long will it take for the principal to double at 12.25% annual interest?
- Village bought
A village bought in the initial year for winter maintenance needs a tractor at a purchase price of 70 000 €. Its value decreases exponentially and after two years has a value of 49 000 €. The maintenance costs grow exponentially, in the first year they ar - Geometric sequence calculation
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =? - Finite geometric sequence Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =?
- Telephone calls
The random variable modelling the time between 2 phone calls has an exponential distribution with density f(x) = 10e^(−10x), x > 0. Calculate its distribution function and the probability that the time between calls does not exceed 5 seconds, the time - Insert
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence. - GP - three members
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers. - Squat exercise
Mike will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - Edmond
Edmond Santos borrowed USD 20,000 for 18 months at 6 1/2 % per year. Find the APR (Annual Percentage Rate) if he repaid the loan monthly. The answer is: Note: APR is expressed as a percentage representing the actual yearly cost of funds over a loan term.
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