Exponential Growth
An investor invests $35,000 into a company that promises a return rate of 4.5% per year. How much will they make in 5 years?
$43,610
A small town in Mississippi has a total population of 2000 people. People are moving away at an annual rate of 5%. After 6 years, what will be the population?
1470
A chemical mixture has a half-life of 4 years. The mixture is currently 21 ounces. After 6 years, how much of the mixture will remain?
Round to the nearest thousandth.
7.434 ounces
What was the first capital of the United States?
Philadelphia, PA
ln(4)
1.386
Milly is buying a house for $250,000 and is told by her realtor that the value of the house will increase by 7% each year? If she plans to sell the house in 10 years, how much will her home be worth?
$491750
Cindy purchases a car for $43,200 and has a depreciation rate of 11%. If she trades in the car in 9 years, what is the trade in value?
$15,120
A bacterial population has a doubling time of 16 years. If the population started at 4.5 cells, how many cells will there be after 12 years?
Round to the nearest thousandth.
7.569
What is the name of Kim Kardashian and Kanye West's first child?
North
ln(x) + ln(2) = ln(4)
x = 2
When Tommy was born, his family opened a savings account and put $175 into the account. Tommy now has access to the account. If no additional money was added, and the account balance is $316.05, with an interest rate of 3%, how old is Tommy?
20 years old
Ian's checking account has a balance of $10,000. Every year, he pulls out 5% of the money in the account and uses it for something fun. If the current balance of the account is $2640, how many years has he been taking out money?
26
A group of cells has a half-life of 3 years. The group of cells after 22 years has a population of 0.96 cells. How many cells were in the original population?
160
Which fictional city is the home of Batman?
Gotham
ln(x+1) - ln(3) = ln(5)
x = 14
Meg had a credit card bill that she forgot to pay for 3 months. She has an interest rate of 12% and now owes the company $3474.57. How much was Meg's original bill for?
$2473
A fish tank has an evaporation rate of 2% every year if no new water is added. If 7 years have passed and the tank now contains 2343.6 ounces of water, how many ounces of water was originally in the tank?
2700 ounces
A population of cells doubles every 20 years. If the population started with 58 cells and is currently at 82.012, how many years have passed?
10 years
Spinach is high in which mineral?
ln(2x) = 5
x = 74.207
George received savings bonds from his grandparents that could not be used for 50 years. If the bonds were purchased for $45,000 and 50 years later are valued at $74,025 determine the interest rate of the bonds.
1%
A special edition Jeep Wrangler can be purchased for $113,400. After 12 years, the value of the jeep is $76771.80. What is the depreciation rate of the jeep?
3.2%
A frog species began with a total of 16 frogs and has grown to a population of 19.616. A total of 5 years have passed. What is the doubling time?
17 years
64
ln(- x + 1) + ln(4) = 7
x = -273.158