Q and A for the topic: General

definition of simple discount and examples

For each function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. y=xcubed-2

Of a test with 27 questions, 90% were correct. How many questions were there in total?

If 1.15 fluid ounces of vinegar are needed to prepare 1.54 pints of sauce. How much vinegar is needed to make 2.55 pints of sauce?

Juan bought 2 pounds of seed for .63, how many pounds can he buy for $5.94?

A rectangular waterbed is 8 ft long, 6 ft wide, and 2 ft tall. How many gallons of water are needed to fill the waterbed? Assume 1 gallon is 0.13 cu ft. Round to the nearest whole gallon.

Summer Co. expects to pay a dividend of $4.00 per share—one year from now—out of earnings of $7.50 per share. If the required rate of return on the stock is 15 percent and its dividends are growing at a constant rate of 10 percent per year, calculate the present value of growth opportunities for the stock (PVGO). (Hint 1: b =1- Dividend/Earnings) (Hint 2: you will need to re-arrange g=ROE x b to get ROE!) Group of answer choices $50 $80 $30 $26

You have a rectangular space where you plan to create an obstacle course for an animal. The area of the rectangular space is represented by the expression 6x2 − 16x. The width of the rectangular space is represented by the expression 2x. Part A: Write an expression to represent the length of the rectangular space. Then simplify your expression. Show all your work. (6 points) Part B: Prove that your answer in part A is correct by multiplying the length and the width of the rectangle. Show all your work. (4 points)

f(x-1) if f(x) = -5x+8

What is the equivalent fraction of 7/10 with a denominator of 20

I have 20 apples and pears and my pears are 2 more than the apples how many apples and pears do I have

How many six-digit numbers are there that are odd and have at least one zero?

factorize completely: 12x^2 - x -6

find the values of x that satisfy the absolute inequality | 5 - X | ≤ 2

. Calculate the equations of the tangent lines drawn from the point P(-2,7) to the circumference x2 + y2 + 2x -8y +12 = 0. Graphically represent the respective equations.

A forest ranger sights a fire to the South. A second ranger, 8 miles East of the first ranger, also sights the fire. The bearing from the second ranger to the fire is S 33(degrees). How far is the first ranger from the fire?

Scores on a test have mean 70 and standard deviation 15. Let x denote a student’s score on this test. The professor wants to adjust the scores so that they have mean 75 and standard deviation 12. Let y denote a student’s adjusted score. y is related to x by y = a + bx, and the professor wants to find a and b so that the adjusted scores have the correct mean and standard deviation. What does a have to be?

at constant temperature. What should be the volume of a sample of gas that is initially at 2 atm pressure and occupies a volume of 1L if the pressure is doubled?

We have a rectangle measuring 28*18 mm on the outside and 25*15mm on the inside, located in front of the eyes. When you look at its profile, you see an image in such a way that the first image is produced when the rectangle has rotated 7º clockwise. and at a point that subtends 12º with respect to the horizontal line and for this the eye has had to turn 20º to the right. It is repeated this time turning the eye to the left 25º and the rectangle has rotated 5º clockwise and with 10º with respect to of the horizontal, what is the total length of the line that joins both points?

Laurier Inc. had retained earnings at the beginning of the year of $19000. During the year Laurier Inc. declared dividends of $100000. At the end of the year, Laurier Inc. had retained earnings of $ 3600000. What was the amount of net earnings that Laurier Inc. earned during the year?