Geometric progression + percentages - practice problems

Number of problems found: 39

Monthly payments 2
Suppose you have selected a new car to purchase for $19,500. If the car can be financed over a period of 4 years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be?
Railways 3
Railway Corporation wants to purchase a new machine for $360,000. Management predicts that the machine can produce sales of $220,000 each year for the next 5 years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc
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 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 that a couple invested Php 50 000 in an account when their child was born, to prepare for the child's 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
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. The first day she walked 18kilometers. Each day since she walked 90 percent of what she walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Round your final answer to the nearest ki
Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua
Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p?
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?
Curiosity factor
A blogger starts a new website, initially the number of the traffic is 293 due to their curiosity factor. The business owner estimated that the traffic will increase by 2,6% per week. What will be the number of it in week 5?.
The machine
The annual depreciation of the machine is 10%. After 8 years, the machine is worth 697 euros. What was the price of this machine at the time of purchase?
Profit growth
The profit of a company increased by 25% during the year 1992, increased by 40% during the year 1993, decreased by 20% in 1994 and increased by 10% during the year 1995. Find the average growth in the profit level over the four years periods?
Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants?
The crime
The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025.
A perineum
A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
Account operations
My savings of php 90,000 in a bank earns 6% interest in a year. If i will deposit additional php 10,000 at the end of 6 months, how much money will be left if i withdraw php 25,000 after a year?
Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?

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