Irrational or Imaginary
Logarithmic Logic
Business is Booming
Model That
More Grab Bag
200
What is an imaginary number
square root of a negative number
200
this letter is often associated with the natural logarithms and is approximately 2.719
e
200
What does t stand for below
A=P(1+(r/n))^(nt)
time
200
This type of growth models the growth of bacteria
exponential growth
200
What is a irrational number
any number that does not end.
It can only be represented accurately by a fraction
400
Most famous irrational number
pi
400
what can be used to cancel on an e in order to solve logarithmic equations
ln (natural law)
400
Here is the formula for the total cost of your new car over the length of the loan. What is the principal (original amount financed)
422222.45=23500(1.007)^84
$23500
400
Logarithms are used to measure this natural disaster
Earthquakes
400
What form is this
y=(x-h)^2+k
Parabolic form
600
Rewrite
sqrt(-5)
5i
600
8^(3x)-4=16
x approx.48
600
If you invest $500 and it grows exponentially at 6% per year, this function would model your investment.
A=500(1.06)
600
Using what area of Algebra 2 can astrophysicist use to determine where a satellite will be at any given moment?
Quadratics
600
What is the first step in solving this
square both sides
800
What is the conjugate of
18-6i
18+6i
800
What does rule #3 say about logarithms. Use an example to show
3 log 4 = log4^3
800
Mr. Logiudice invests in $1000 in an account with an interest rate of 6%. The interest accrued monthly. How much money will he have in the account after 3 years?
$1196.68
800
A car travels at 60 miles per hour. Write an equation to represent the distance d after t hours. Then find the distance after 3 hours.
60t=d
after 3 hours = 180 miles
800
(2x^3)^2
4x^6
1000
Solve
(5+i)^2
24+10i
1000
re-write the following
b^y=x
1000
A movie theater finds that lowering ticket prices increases attendance, but lowers overall revenue after a point. Using the following formula developed find the maximum (vertex) income for the theater.
vertex occurs at (x,y) (20,2000)
vertex formula
-b/(2a)
1000
The equation for a vehicles stopping distance is modeled with
d=v^2/20
Use the model to predict when a car traveling at 60 mph will stop.
180 feet
1000
If f(x)=2x−3, what is f(5)?
7