Converting
Solving
Graphing
Modeling
Interesting Factoids
100
Convert the following to a logarithmic function.
What is 4=log_6(1296)?
100
Daily Double
Round to hundredths position.
Solve
2log_3(4)-log_3(3)+4log_3(11)-8=12
What is -9.75?
100
Which is the equation for the graph above?
What is C?
100
An initial population of 207 rats increases at an annual rate of 6.3%. Write an exponential function to model the rat population.
What is
y=207(1.063)^t?
100
This crustacean is well known for greed and overworking his two employees, he is only concerned with "money, money, money".
Who is Eugene Krabs?
200
Convert the following into the exponential function. log_93(6)=x/9
What is 6=96^(x/9)?
200
Solve 12^(2x)=36 round to the nearest thousandth.
What is 0.721?
200
Determine the interval of increasing of the following equation.
y=3(1/2)^x
What is DNE?
200
Suppose you have a car that you bought for $20,000. Over the first year, it depreciates by 4% twice annually. Find how much value will it have lost after 7 years.
What is $4927.16?
20000(1-0.04/2)^(2*7)approx15072.84
20000-15072.84=4927.16
200
This company owns the rights to hits like, Yu-Gi-Oh!, Pokémon, Batman, Mortal Kombat, and Bugs Bunny.
What is Warner Bros?
300
Expand the logarithm.
log_3(7x^3y/z)
What is
log_3(7)+3log_3(x)+log_3(y)-log_3(z)?
300
Find the exact solution.
log(-3x+19)=2
What is -27?
300
Determine the range of the equation.
y=2*(0.8)^x-2
What is (-2,oo)?
300
If I need a total of $75,395 to buy a ZL1 Camaro, find how much money do I need to invest if I am saving for 4 years at 6% compounded continuously.
What is about ?59307.81?
75395=Pe^(0.06*4)
P=75395/e^(0.06*4)approx59307.81
300
Wild Force, Ninja Storm, and Dino Thunder are all series of this popular kids show.
What are, Power Rangers?
400
Condense -log(x-7)-log(3)+log(11)
What is
log(11/(3(x-7)))?
400
Find the exact solution to 1/8=32^(4x-7)
What is 1.6 or 8/5?
400
Find the asymptote of the following exponential function.
y=-(1/3)^x+7
What is y=7?
400
The sales of weed eaters t years after a particular model is introduced is given by the function y=4603ln(3t+2), where y is the number of items sold. How many weed eaters will be sold 2 years after a model is introduced? Approximate the answer to the nearest whole number. (This is a flooring function.)
What is 9,571?
400
These turtles in a half-shell have serious ninja training. This Sensei trained them to be experts with Katanas, Sais, Nun-Chucks, and Bō-Staffs
Who is Master Splinter?
500
Convert the following into an exponential equation then solve for x.
6e^(4x-5)=8
What is
x=(ln(4/3)+5)/4?
500
Solve
log_2(x+9)-log_2(x)=3
Round to the nearest ten-thousandths.
What is 1.2857?
500
Determine the intercepts of the following function. Round to the nearest hundredth where applicable.
y=3^x-4
What is
x-intercept: 1.26
y-intercept: -3
500
The amount of money in an account has continuously compounded interest. Calculate to the nearest hundredth of a year how long it takes for an amount of money to triple if interest is compounded continuously at 8.9%. Round to the nearest tenth of a year.
What is 12.3 years?
A=Pe^(rt)
3(P)=Pe^(rt)
"Choose a value for P"
3(6)=6e^(0.089t)
tapprox12.34
500
In the 1991 TV Series Dinosaurs, the Sinclair family was often seen watching their favorite Program "ASK MISTER LIZARD" and would always excitedly proclaim the famous catchphrase of this six letter phrase.
What is "We're Going To Need Another Timmy"?
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