3.1 - 3.2
Calculate the balance of $12,000 invested at 3% interest compounded quarterly for 5 years (n = 4).
What is $13,934.21?
Rewrite the logarithmic equation logax=y in its equivalent exponential form.
What is ay = x?
Solve for x: log3(5x−1)=log3(x+7).
What is x = 2?
On the unit circle, which trigonometric function corresponds to the y-coordinate?
What is sin?
Using SOH CAH TOA, what is the ratio for tanθ?
What is opp/adj?
Use the One-to-One property to solve for x: 3x + 1 = 27
What is x = 2?
Use the change-of-base formula to rewrite log4(25) using natural logarithms.
What is ln25/ln4?
Use the Inverse Property to solve 10logx=10.
What is x = 10?
Convert 240∘ to radians in terms of π
What is 4pi/3?
Let (−3,4) be a point on the terminal side of θ. Find cosθ.
What is −3/5 (where r=5)?
Identify the horizontal Asymptote for the graph of f(x) = 4x - 2 + 3
What is y = 3?
Expand the expression ln(7x).
What is ln7+lnx?
How long will it take for an investment to double at 6.75% interest compounded continuously?
What is approximately 10.27 years (ln(2)/0.0675)?
A sprinkler rotates 120∘ and sprays water 70 feet. Find the area of the sector watered.
What is 5131.27 square feet?
Find the reference angle for θ=150∘
What is 30 deg?
Find the domain of the natural log function f(x) = ln (2 - x)
What is (-infinity, 2) or x less than 2?
Condense the expression 2logx+logy into a single logarithm.
What is log(x2y)?
A virus spread on campus is modeled by a logistic growth function. If the limit of the population is 5,000, what is this limit called in growth modeling?
What is carrying capacity?
Find a positive coterminal angle for 13pi/6
What is pi/6?
If cosθ=−8/17 and θ is in Quadrant III, find sinθ.
What is -15/17?
Determine the vertical asymptote of g(x)=log(x+5)
What is x=−5?
Evaluate log5sqrt(5) without a calculator.
What is 1/2?
What is the ordered pair (x,y) on the unit circle for an angle of π radians?
What is (−1,0)?
If cost=1/2 and t is in Quadrant IV, what is sint?
What is - sqrt(3)/2?
A surveyor 115 feet from a monument measures an angle of elevation of 78.3∘. Find the height of the monument.
What is ≈555 feet (115⋅tan78.3∘)?