Vocabulary
When an investment is compounded semi-annually, how many times is the interest compounded each year?
twice per year
n = 2
If f(x)=50(1+.53)x
Then what is the initial amount and growth rate?
initial amount=50
growth rate = .53 or 53%
If f(x)=300(1- .76)x
Then what is the initial amount and decay rate?
initial amount = 300
decay rate = .76
When interest is compounded quarterly, what do we use as the value of n?
n= 4
Keeping your answer in positive exponents, simplify:
y^(3) * 7y^3
What is
7y^6
What do we call the line under which the exponential function graph will not fall below?
Asymptote
x-axis
y = 0
In exponential functions when b>1 this will cause an exponential growth or decay?
Exponential growth
In exponential functions when 0<b<1 this will cause an exponential growth or decay?
Exponential decay
How do you turn 7% into a decimal?
What is the given decimal of 7%?
7/100= .07
or you move the decimal two places to the left of 7 to get .07.
Keeping your answer in positive exponents, simplify:
4p^-3
What is
(4)/(p^3)
What is another word that represents the initial investment?
Principle
Deposit
Using the function f(x) = 80(1.75)x, what is the growth rate?
75%
Using the function rule f(x) = 700( .45)x, what is the decay rate?
.55
The decay rate tells you how much was LOST.
The decay factor of .45 tells you how much REMAINS
Ms. Wiggins deposited $1,000 in a CD at a 7% interest compounded quarterly. How much will her CD be worth in 5 years?
Identify the values of P, r, n and t
p=1,000
r=.07
n=4
t=5
Keeping your answer in positive exponents, simplify:
(x^(2)y^(5))^2
What is
x^(4)y^(10)
Provide two other words that could represent "decrease" in contextual word problems.
Decline
Depreciate
Goes down by
losses
What equation would represent the situation below?
Gina started with 14 frogs in 2004. Her frogs increase at a rate of 20% each year. How many frogs would she have in 2008?
y=14(1+0.2)4
What is the equation we can use to represent the situation below?
Marvin invested $1000 a stock that is going down each year by 0.5%. In 8 years, how much money would he have left?
y=1000(1-0.005)8
$950 at 6.5% for 8 years compounded weekly. What is the exponential model (equation, not answer) that represents exponential growth?
A=P(1+r/n)nt
A=950(1+.065/52)(52)(8)
Keeping your answer in positive exponents, simplify:
(-8mn^4)/(-7mn)
What is
8/(7n^3)
Name at least two other ways to refer to the b value in an exponential equation.
Rate of Change
Growth Factor
Decay Factor
b value
multiplier
(1 + r)
(1 - r)
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530000(1.05)6
=$710,250.69
Ms. Wiggins purchased a car for 26,400 and every year it depreciates by 12%. What should she expect the value of her car to be after 3.5 years?
f(x)=26400(.88)3.5
=$16,876.92
$1500 at 6.7% interest rate compounded monthly. What will be the balance after 2 years?
=$1,714.45
Keeping your answer in positive exponents, simplify:
(3x^3)/y^-6
What is
3x^(3)y^(6)