Exponential function + logarithm - practice problems
Number of problems found: 39
- Doubling every day
If you start with 1 euro on day 1 and double your money daily, how many days before you get at least 1 million? - A town 3
A town with 12,000 people has been growing at a rate of 2.5% per year. How many years ago was the population 8,000? - Compound interest
Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day. - Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams.
- Robinson 82579
Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on - Simplify logarithm expr
Given that logxU + logxV =p and logxU - logxV =q Prove that U=x^½(p+q) - 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? - Double of principal
How long will it take for the principal to double at 12.25% annual interest? - Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =?
- 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? - 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?
- Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - 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 - Interest 6047
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? - Exponential equation
Solve for x: (4^x):0,5=2/64.
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