Stats
Exponential Functions
Solving with Change of Base
Inverses and Logs
Compound Interest/Half Life
100
What range is the mode in the distribution of black cherry tree?
75 - 80 feet
100
What is the equation of the asymptote of this function:
f(x)=4(1/2)^(x+1)-11
y=-11
100
Solve for x
3^(x+4)=3^9
x=5
100
Solve for x: log416=x
x=2
100
What is the variable n equal to when an investment is compounded quarterly?
n=4
200
What percentage of women are between 5'4 and 5'6?
68%
200
Does this function model growth, decay, or neither?
f(x)=(3/2)^x+4
Growth
200
Solve for x by changing base
2^(x-1)=4^(3x)
x=-1/5
200
Solve for x, log5x=3
x=125
200
If you deposit $1000 into an account with an interest rate of 6.5%, compounded monthly, how much money will be in your account after 25 years
$5056.20
300
What is the probability of picking a female given that they prefer coffee ice cream?
13/25, 0.52, 52%
300
For the function:
f(x)=4*(3/4)^x+1
evaluate
f(0)
f(0)=5
300
Solve for x by changing bases
25^(x+1)=(1/125)^2x
x=-1/4
300
Find the inverse of this function:
g(x)=(7x+18)/2
g^(-1)(x)=(2x-18)/7
300
Given that Zn-71 has a half-life of 2.4 minutes, if you began with 100g how much would be left after 7.2 minutes?
12.5g
400
Estimate a correlation coefficient, r, for the data below.
r = .7-.95
400
For the function,
f(x)=2^(x+3)+6
evaluate
f(2)
f(2)=38
400
Solve for x by changing bases
32^(2x-2)=16^(x-4)
x=1
400
Find the inverse of this function:
f(x)=2x^2+3
f^(-1)(x)=+-sqrt((x-3)/2)
400
After 15 years you empty an old bank account. The account had been accruing money at a rate of 5.75%, compounded weekly. If you now have $6521, how much money did you initially put into the account?
$2753.86
500
In a standard deck of cards, what is the probability of picking a is a red card OR an even number?
36/52, 0.69, 69%
500
Given the function
f(x)=16*(4)^(x-3)+1
evaluate
f(1)
f(1)=2
500
Solve for x by changing bases
9^(x/2)=3^(7/2)sqrt3
x=4
500
Determine if these two functions are inverses:
f(x)=2(x-2)^3 and g(x)=(4+root3(4n))/2
Yes :)
500
Given that advil has a half-life of 2 hours, if you take 800mg how many hours will it take for there to only be 100 mg left in your body?
6 hours