Logarithm - practice problems - page 2 of 5
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 97
- 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? - Deposit and saving
How long will the deposit of € 2,000 increase at an interest rate of 4.6% p. a. at 2500 €? (Ideally, calculate without logarithms) - Double of principal
How long will it take for the principal to double at 12.25% annual interest? - GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? 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 that models the time between 2 phone calls has an exponential distribution with density f(x)=10exp (-10x), x is greater than 0. Calculate its distribution function and the probability that the time between calls does not exceed 5 secon - A professor
A professor in a typing class found out that the average performance of an expert typist is 85 words per minute. A random sample of 16 students took the typing test, and we obtained an average speed of 62 words per minute with a standard deviation of 8. C
- Poisson distribution - daisies
The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow. - Two geometric progressions
Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome - Interest 37571
We will deposit € 10,500 at the bank at 1.1% interest, and we want to withdraw € 11,000. How many years do we have to wait? Round to 2 decimal places. - Withdraw 37161
We will deposit € 8,500 into the bank at 1.3% interest and withdraw € 8,700. How many years do we have to wait? Round to 2 decimal places. - Diameter 36363
With a single pull, the wire diameter is reduced by 10%. How many draws are required to minimize the wire diameter from 5 mm to less than half? - If you 4
If you deposit $2500 in an account paying 11% annual interest compounded quarterly, how long until there is the $4500 in the account? - If you 2 If you deposit $4000 into an account paying 9% annual interest compounded monthly, how long will it take for the account to have $10000?
- Semiannually compound interest
If you deposit $ 5,000 into an account paying 8.25% annual interest compounded semiannually, how long until there is $9350 in the account?
- Compound Interest
If you deposit $6000 in an account paying 6.5% annual interest compounded quarterly, how long will it take for the account to have $12600? - 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. - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years? - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double?
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