Geometric progression - practice problems - page 6 of 14
Number of problems found: 272
- Loan debt
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? - Bank withdrawal time
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 growth percentage
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in percents. - Annual growth The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was.
- Machine depreciation
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? - Bank withdrawal time
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%. - House increase percentage
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 - Forest wood growth
The amount of wood in a specific forest area is estimated at 2,106 m3, and the annual wood growth is 2.1%. What will be the situation after 20 years? - Wire diameter reduction
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? - Six terms GP
Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12 - Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence. - Present value A bank loans a family $90,000 at a 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over 15 years. How much should the monthly payment be in order to pay off the debt in 15 years?
- Savings
Suppose on your 21st birthday, you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments until your 51st birthday (30 years), How much money is in your account? How much of it is interesting? S - Future value Suppose you invested $1000 per quarter over 15 years. If money earns an annual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earned?
- Company interest At the beginning of the year, the company had CZK 5,000,000 in its account. He has the money saved at a 16% interest rate. How much was the interest for the first year? How much was the interest for the second year?
- Retirement annuity How much will it cost to purchase a two-level retirement annuity that will pay $2000 at the end of every month for the first ten years and $3000 per month for the next 15 years? Assume that the payment represents a rate of return to the person receiving t
- Sum 1-6 Find the sum of the geometric progression 3, 15, 75,… to six terms.
- Sum of GP members Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)?
- What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2?
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