Exponential equation - practice problems
Number of problems found: 104
- Deposit for house
The current price of a house is $300000 with prices increasing by 3% each year. A buyer wishes to purchase the house in 5 years time. 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 depos
- Principal 67954
For how long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros?
- Midnight 67644
The bacteria in the test tube divide into two every second, with each new one having the same volume as the original. At exactly midnight, the test tube was full. At what time was the test tube half full?
- A town
A town has a population of 18000 and grows at 2% every year. What will be the population after 11 years, to the nearest whole number?
- MP3 player
Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player?
- Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w
- Salary increase 2
Each year, Francesca earns a salary that is 2 percent higher than her previous year's salary. In her first 5 years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?
- Double of principal
How long will it take for the principal to double at 12.25% annual interest?
- GP sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =?, q =?
- Quantities 60183
Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =?
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =?
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- Straight-line depreciation
Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand and Olsen can sell all that it could manufacture for the next 10 years. To encourage capital investments, the government exempts tax
- Poisson distribution - daisies
The meadow behind FLD was divided into 100 equally large parts. Subsequently, it was found that there were no daisies in ten of these parts. Estimate the total number of daisies in the meadow. Assume that daisies are randomly distributed in the meadow.
- Two geometric progressions
Insert several numbers between numbers 6 and 384 so that they form with the given GP numbers and that the following applies: a) the sum of all numbers is 510 And for another GP to apply: b) the sum of entered numbers is -132 (These are two different geome
- Equation 46771
Insert three numbers between the roots of the equation 4x² - 17x + 4 = 0 so that they form with the given GP numbers
- Maturity value
IKEA Furniture’s can purchase furniture with 3 year simple interest loan at 8% interest per year. What is the maturity value of 3500 loan?
- 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%.
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?