Geometric progression - practice problems - page 5 of 13
Number of problems found: 259
- Consecutive 46761
The block lengths are made up of three consecutive GP members. The sum of the lengths of all edges is 84 cm, and the volume block is 64 cm³. Determine the surface of the block.
- Continuation 46483
Continuation of the number series 9,12,18,27
- Regularly 46301
Mišo will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day?
- Five years
Nakato Nobuki, a Japanese artist, wants to have $24,000.00 in his savings account at the end of five years. Mr. Nobuki deposits $1,500.00 annually into savings and has a balance of $8,000.00 today. What must the interest rate on the savings account be for
- The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block.
- The town
The town population is 56000. It is decreasing by 2% every year. What will be the population of the town after 13 years?
- Saving for education
Suppose a couple invested Php 50 000 in an account when their child was born to prepare for a college education. If the average interest rate is 4.4% compounded annually, a, Give an exponential model for the situation b, Will the money be doubled by the t
- Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members.
- Annual interest
A loan of 10 000 euros is to be repaid in annual payments over ten years. Assuming a fixed 10% annual interest rate compounded annually, calculate: (a) the amount of each annual repayment (b) the total interest paid.
- Interest rate
We borrowed CZK 50,000. The annual interest rate was 6%. We have to repay the entire debt in 5 years. How much will we pay? (use the compound interest relationship).
- Installment 38011
We borrowed CZK 150,000 at a monthly interest rate of 2%. Interest is added at the end of each month, and we immediately pay an installment of CZK 30,000. How much will we owe in five months?
- 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.
- Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents.
- Depreciated 37521
The machine's initial price is 12000 euros. Wear and tear depreciates 21% of its price yearly. What value will the machine have after five years?
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was.
- Depreciated 37171
The initial price of the machine is 23,000 euros. Every year, 12% of its cost is depreciated due to wear and tear. What value will the machine have after six years?
- 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.
- Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%.
- Statistical 36383
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming
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