Logarithm - practice problems
Number of problems found: 71
- The terms
The terms 1/64, 1/32, 1/16 form a geometric progression (GP) If the sum of the GP is (2³6 – 2^-6), find the number of terms - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - Principal 67954
For how long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros? - 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
For 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 =?
- 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 put € 8,500 into the bank at 1.3% interest, and we want to 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 until there is $10000 in the account?
- Semiannually compound interest
If you deposit $5000 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 until there is $12600 in the account? - 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 does the sound intensity increase 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?
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