Properties of Exponents
x2 times x7
x9
log10100,000
5, because 105 = 100,000
in other words, 10 x 10 x 10 x 10 x 10 = 100,000
Jeffs retirement account has $350 in it and it accrues interest at a rate of 4% compounded annually. How much will be in the account after 10 years?
If I owe $490 and I do not make any payments for two years, how much would I owe at an APR of 25%?
807.87, because 490(e)0.25*2 = 807.87
Which of these things have I not eaten today
A) Apple
B) Banana
C) Cookie
D) Waffle
B) Banana
y/y5
log 5 + log 200
3, because log 5 + log 200 = log 1000
and 103 = 1000
Gas is decreasing by 1% of its cost each week. If the current cost of gas is $4.00, what would it cost in 5 weeks?
My evil credit card company starts charging me continuously compounded interest after I missed a payment.
If I owe $1350 and I do not make any payments for eleven years, how much would I owe at an APR of 28%?
$51323.98, because 1350(e)0.28*13
What year is my car?
A) 2010
B) 2004
C) 2007
D) 2001
B) 2004
(4x4)2
16x8
ln(1)
0, because e0 = 1
Each year, the price of starbucks has been going up 5%. If my current order currently costs $6.30, what was the cost of my order 7 years ago?
$4.48, because 6.30(1 + 0.05)-7
Continuously compounded interest at an APR of 5% is applied to an investment of $1000. How long does it take for the investment to reach $2718.28
20 years
2718.28 = 1000(e)0.05t, so ln or loge(2.71828) = 1
so 0.05t = 1 meaning t = 20
Name three states smaller than Maryland by land area
Hawaii, Massachusetts, Vermont, New Hampshire, New Jersey, Connecticut, Delaware, and Rhode Island
(3 + x3)2
Solve the equation log3x=2
9. This equation can be rewritten as 32 = x
so x = 9
If he currently owes me $800, how much would he owe me in 5 years?
$25600, because 800(1 + 1.00)5 = 25600
Continuously compounded interest at an APR of 4% is applied to an investment of $1000. How long does it take for the investment to reach $2000
If 0.04t = 0.6931, then t = 17.33
Which of these is the capital of California?
A) San Francisco
B) Los Angeles
C) San Diego
D) Sacramento
D) Sacramento
163/2
64, because 163/2 = (161/2)3 = 43 = 64
log5 100 - log5 4
2, because log5 100 - log5 4 = log5 25
and 52 = 25
The half-life of one radioactive element is 3 years, meaning 50% of its mass/atoms decay after that time.
If there is initially 100 grams of the element, how much would still exist of 24 years?
0.39 grams, because 100(1 - 0.50)8 = 0.39
Continuously compounded interest at an APR of 6% is applied to an investment of $5000. How long does it take for the investment to reach $7166.65
6 years
7166.65 = 1000(e)0.06t, so ln or loge(7.16665) = 0.36, so t = 6
How far is it from home plate to first base in baseball?
90 feet