Exponentiation + exponential function - practice problems
Number of problems found: 67
- 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?
- Population growth 2
The present population of the town is 200,000. Its population increases by 10% in the first year and 15% in the second year. Find the population of the town at the end of the two years.
- The cost 15
The cost of a machine depreciates every year by 10% of its cost at the beginning of the year. If the present cost of the machine is USD 10000, find its cost after 2 years.
- Interest over time
If certain sum at compound interest becomes double in 5 years, then, in how many years, it will be 16 times at the same rate of interest?
- The enrolment 2
The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment?
- HCF of polynoms
Find the HCF of the given expression: 2a²b²c4, 2a4b³c³ and 4a²b³
- 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.
- The sum 41
The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate.
- The balance 2
If your balance at the end of 4 years is 50000, at a 5% interest rate, What was your original investment?
- A company 2
A company invests 51000. After 4 years of growth at the same rate each year, the investment is worth 68920. Find the annual growth rate as a percentage.
- In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
- Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage?
- A Petri
A Petri dish contains 35 cells. Every day, each cell in the Petri dish divides into 2 cells in a process called mitosis. How many cells are there after 14 days?
- Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after ten years. What is the amount he needs to invest?
- Radioactive 74344
A type of radioactive element has a mass of 1.125 grams. Upon analysis, he is found to be 405 years old. If this radioactive element decays by half every 45 years, find how many grams of this radioactive element there were 405 years ago.
- Deposit for house
The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to deposit each quar
- 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.
- 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?
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