Exponential and Log Functions
The logarithm with this base is called the common log, denoted log(x).
What is 10?
This is what 'P' stands for in the simple interest and compound interest formulas.
What is principal or present value?
A dependent system of linear equations has this many solutions.
What is infinitely many?
This is the formula to find the slope of a linear equation.
What is m=(y2-y1)/(x2-x1)?
This is the first element on the periodic table.
What is Hydrogen?
This is the y-intercept of y=a*bx
What is (0,a)?
This is the compound interest formula.
What is A=P(1+r/m)mt ?
A system of linear equations consisting of two lines with the same slope but different y intercepts is called a(n) _________ system.
What is inconsistent?
The following is a price-demand equation, find the x- and p- intercepts.
x=2250-.75p
What are
x=2250
p=3000?
This is the number of bones in a sharks body.
What is 0!
Expand logx(AC/B).
What is logx(A) + logx(C) - logx(B)?
Dana puts $700.00 into an account to use for school expenses. The account earns 3% interest, compounded continuously. How much interest has been earned after 6 years, to the nearest dollar?
What is $138?
Solve the system
2x + 3y = 3
x + 2y = 4
What is (-6,5)?
The function K(p)=16p outputs the cost to fill a tank given the price p per gallon.
Evaluate K(p)=16p at p = 2.5
What is $40?
This mammal is missing its vocal chords.
What is a giraffe?
Determine the domain, range, and any asymptotes of the function f(x) = logb(x+10).
What is
D: x>-10
R: All real numbers
Vertical Asymptote at x=-10 ?
If the present value is $200 and interest is compounded quarterly at an annual rate of 20%. How many years does it take for a future value of $800?
What is 7.1 years?
Solve the system
5x - 2y + 2z = 15
3y - 4z = -17
2z = 4
What is (1, -3, 2)?
This is the range of the function
y = −0.2x2 + 40x − 1,000
What is y≤1000?
This is the planet with the most gravity.
What is Jupiter?
This is the solution to the equation below
log(x2 − 25)=1 + log(x + 5)
What is x = 15?
In order to withdraw $35,000 each year for 25 years with an account that earns 5% interest, this is the starting amount you need in your account, to the nearest dollar. (Think Payout Annuity Formula)
What is $493,288?
Solve the system
x - 2y + 5z = 10
x + y - z = -2
2x - 3y + z = 9
What is (1, -2, 1)?
Consider the piecewise function below
E(x) ={10.00+0.12x, if 0≤x≤500
{70.00+0.18(x−500), if x>500
Evaluate E(x) at x = 600.
What is 88?
This is the driest continent.