Logarithm + exponential equation - practice problems - page 2 of 4
Number of problems found: 66
- Percentage increase
What is the annual percentage increase in the city when the population has tripled in 20 years? - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - Exp
If sqrt[7](20²-12²) = sqrt[n](256), then n is: - Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population? - Compound interest
Calculate the time when the deposit in the bank with interest 2.6% p.a. doubles. - The city 3
The city has 22,000 residents. How long is it expected to have 25,000 residents if the average annual population growth is 1.4%? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Interest 81982
The bank offers interest on the deposit of 4 percent per annum. In how many years will the deposit double? - 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? - Geometric sequence 3
In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q, and n - number of members by their sum s_n. - Precision 3390
The price of the device is reduced by one-fifth every year. How long before the price of the device drops to one-tenth of the price? Specify years and months with precision. - Population 4485
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be? - 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? - Water lilies
Water lilies are growing on the pond, and their number is doubling every day. The whole layer is covered in 12 days. How many days will it cover eight layers? - Crystal
The crystal grows every month 1.2 permille of its mass. How many months to develop a crystal from weight 177 g to 384 g? - Written 81992
8% of the price of the machine is written off every year. In how many years will the price drop from 250,000 to 150,000? - Years 3
How long will it take for a given sum of money to triple itself at 20% annual compound interest? - Lion or virgin
We toss the coin, and every throw fits a lion or a virgin with an equal probability of 1/2. Determine how much we have to make throws that, with the probability of 0.9, lions fell at least once. - 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?
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