Exponents Equations
solve for x:
3x + 1 = 9x + 3
x = -5
Emma has 6 starfish. Each month they increase by 8%. How many starfish will she have after 2 years?
38 starfish
If something is compounded semi-annually, how many times will it compound in 5 years?
10 times
Explain why 0.0842 • 10-9 is NOT in scientific notation and then rewrite it so that it IS.
The coefficient is less than 1. The number should be 8.42 • 10-11
8^(x/4) • 8^(x/2) = 8^3
x = 4
Alex has a bag of 300 Skittles. She has no idea that Maia is eating 25% of the stash each day. How many Skittles will Alex have left after 5 days?
95 Skittles
Davi invests $5000 in Dunks stock at a rate of 6% compounded semi-annually. How much will his stock be worth in 6 years?
$7128.80
Multiply. Be sure your answer is in scientific notation
(6.2 • 10-5)(4 • 10-8)
2.48 • 10-12
4^(x + 3)/2^(x - 1) = 4^(x - 1)
x = 9
The Wicked Witch of the West has a wart that is 12mm in size. She got an ointment from the doctor that will decrease the size by 18% each day. How big will it be after 1 week?
3 mm
Andrew borrowed $25,000 from Liam's Lending Loan at a rate of 28% compounded quarterly. How much will he owe in 3 years?
$56,304.79
Divide. Make sure your answer is in scientific notation.
(5.4 • 10^4)/(6 • 10^12)
9 • 10-9
272x - 2 • 9x + 4 = 34x - 10
x = -3
The population of Concord is currently 15,200 people and is increasing at a rate of 2.5% per year. Sudbury currently has 16,450 people and is decreasing by 3.2% each year. How many will each town have after 5 years?
Concord: 17,197 people
Sudbury: 13,981 people
Kayla invested $4000 in Crayola stocks. The value increases at a rate of 48% compounded monthly. What is the value of her stock in 5 years?
$42,078.51
Add: be sure your answer is in scientific notation!
(7.43 • 105) + (6.41 • 107)
6.4843 • 107