Geometric progression - high school - practice problems - page 5 of 12
Number of problems found: 228
- 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? Sh - 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? - 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? - Terms of GP
What is the 6th term of the GP 9, 81, 729,. ..? - GP- first term
Find the 1st term of the GP ___, -6, 18, -54. - What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __? - Find next member
Find x if the numbers from a GP are 7, 49, and x. - Missing term 2
What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875? - Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r. - Common ratio
If 200 units of a commodity are consumed in the first year, and if the annual rate of increase in consumption is 5% (a) what amount is consumed in the 8th year; (b) in the first 15 years? - Fly and cyclist
Two cyclists are 20 km apart on the same line. They start at the same time as each other at a speed of 10 km/hr. A fly sitting on one of the cyclist's handles starts flying toward the other cyclists at a speed of 20 km/hr. It touches the handle and moves - Beginning 31671
At the beginning of the year, Mr. Novák borrowed CZK 30,000 for two years with an interest rate of 11.8%. He will repay the debt at once after two years. The bank pays interest once a year, always at the end of the year. How much does Mr. Novák have to re - Exponential decay
A tank contains 55 liters of water. Water is flowing out at the rate of 7% per minute. How long does it take to drain the tank? - Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t - The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Half of halves
Half of the square we cut off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part?
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