Properties
Solve diff. variable/ compound interest
Decay/Growth word problems
Same base equations
Different base Equations
100
Evaluate the expression
32.33
35 = 243
100
You invest $8000 in an account that compounds interest quarterly at an annual interest rate of 1.9%. How much money will you have in the account after 5 years?
$8795.29
100
2243
100
Solve the exponential equation.
5x=54
x=4
100
Solve the exponential equation.
4x = 163
x=6
200
Simplify the expression. Write your answer using only positive exponents.
(z4)-3
1/ z^12
200
The Garcias have 12,000 in a savings account. The bank pays 3.5% interest on saving accounts, compounded monthly. Find the total balance after 3 years.
$13,326.50
200
What will be the cost in 17 years?
$32,313.27
200
Solve the exponential equation.
8x = 512
x = 3
200
Solve the exponential equation.
256 = 64x-2
x = 10/3
300
Simplify the expression. Write your answer using only positive exponents.
(4x^0)/y^-3
4y3
300
You bought a new car five years ago. The car has been depreciating in value by 18% each year. The car is currently worth $8,898. What was the purchase price of the car?
$24,000
300
Is the function exponential growth or decay?
Decay
300
Solve the exponential equation.
2x+3=29
x = 6
300
Solve the exponential equation.
5^(3x-1)\ = 1/3215
x = -2
400
Simplify the expression. Write your answer using only positive exponent.
(12x^4\y^-3)/(4x^2\y)
(3x^2)/y^4
400
You have your eye on a brand new Corvette priced at $59,900, but know that you can’t afford that until much later in life. So, you decide to put some money into an account that pays an annual interest rate of 5.67% compounded monthly. If you plan to leave that money alone for the next 25 years, how much would you have to invest so that you can buy the Corvette?
$14,563.40
400
16,941 people
400
Solve the exponential equation.
35x+4=243
x=1/5
400
9x-2 = 27x+3
x = -13
500
Simplify the expression. Write your answer using only positive exponents.
(3m^(-5)n^(2).mn^4)/(4m^(-2)n^(0).2n)
(3n^5)/(8m^2)
500
If Diana deposit $10000 into an account paying 3.25% interest compounded monthly, how long until there is $15000 in the account?
12/13 years
500
If you put $500.00 into an account and the account earns a 3% yearly interest rate. How much will be in the account after 5 years?
Round the nearest cent!
$579.64
500
Solve the exponential equation.
54x-1 = 52x+7
x = 4
500
Solve the exponential equation.
10(3x-5) = 90
x = 7