Word Problems
Logs
Trig functions
Misc
100
In March 1991, the U.S. Post Office was charging $1.73 for an airmail letter weighing 2 ounces to any country other than Canada or Mexico. Each additional 1/2 ounce, or part thereof, cost 39 cents. Write the equation for the function that gives the cost C of an international airmail letter weighing 2 oz or more?
What is C=1.73+.39[w - 2]
100
Estimate log6(95) to the nearest tenth.
What is 2.5
100
cos^-1(cos 4pi/3)=
What is 2pi/3
100
Let h be a function with h(x)= 1/(x+5). Which is an equation of the inverse of h?
What is h^-1(x)=1/x -5
200
The 1990 Information Please Almanac estimated that in 1989 the population of Paraguay was 4.2 million and was increasing 2.9 per year. Write the equation that models the population P in millions of Paraguay y years after 1989?
What is P=4.2(1.029)^y
200
If 2^x =25, then x =____ to the nearest.
What is 4.64
200
In triangle ABC, b=13m, measure angle A= 35 degrees, and measure angle V = 21 degrees. Approximate the value of c.
What is 30
200
The x-intercepts of the graph of f(x)= x^2 - 4x -5 are -1 and 5. What are the x-intercepts of the image of f under the transformation S(x,y)-->(2x,-4y)
What is -2 and10
300
An object is launched straight up fro ground level so that its height h meters above ground as a function of times t seconds after launch given by the equation h=-4.9t^2 + 68.6t. What is the maximum height the object will reach?
What is approximately 241 m
300
ln e ^pi
What is pi
300
What is the exact value of cos(pi/4 - pi)
What is -sqrt(2)/2
300
Given f(x) = x^2 and g(x)=(x-2)^2 + 5. Write the translation maps the graph of f onto the graph of g?
What is (x,y)-->(x+2, y+5)
400
Suppose $10,000 is invested in an account paying 7.5% annual interest compounded annually. Assuming no additional money is deposited and none is withdrawn, what is the balance in this account at the end of five years?
What is $14, 356.29
400
Convert 225 degrees to radians(exactly)
What is 5pi/ 4
400
What is the solution of theta= tan^-1(1/2) OVER THE DOMAIN OF -pi/2
What is .46 radians
400
Let f(x) = 3x^2 - 5x. Is f(x) even, odd or niether?
What is niether
500
Recall that the volume V of a sphere of radius r is given by V=4/3(pi)r^3. Find the radius in inches of a sphere with a volume of 4000?
What is 10
500
In 1996, the population of the Republic of Chad was about 6,977,000, with an average annual growth rate of about 2.7%. Suppose the growth rate remains unchanged. What is an estimate of Chad's population in the year 2000?
What is 7,762,000
500
A ladder that is 18 feet long rests against a wall so that the top of the ladder is 15 feet above the ground. What is the measure of the angel formed by the ladder and the floor? Round to the nearest degree.
What is 56 degrees
500
What is the phase shift of y= 3cos(2x - pi) -5 from y = cos x
What is pi/2
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