Reference no: EM131007736
A. Solve each equation.
1) -3(1 + 4k) + 4 = -3(4k - 4) + k
2) - (79/6) = (11/6)m + (19/4)m
Solve each inequality, write its solution set in interval notation, and graph the solution set on a number line.
3) 2(x - 4) ≤ -3(x - 4)
4) ½ - ½n ≤ -(29/20)
Solve each compound inequality, write its solution set in interval notation, and graph the solution set on a number line.
5) -13 ≤ 3 + 4x < 11
6) -(35/12) ≤ -(7/3)n ≤ -(7/3)
Write the equation of the line described in standard form, Ax + By = C, where A, B, and C are integers.
7) through: (5, 3), perpendicular to y = -(5/2)x - 1
Rewrite the equation in slope-intercept form and then use the slope and y-intercept to sketch a fraph of the line with the given equation.
8) 3x + 2y = 8
Show all work as you solve the linear modeling problem below.
9) There were 271 Whole Foods stores worldwide in 2008 and 361 Whole Foods stores worldwide in 2013. Write a linear equation in slope-intercept form that models this growth. Let x stand for the number of years after 2008 and let y stand for the number of Whole Foods stores worldwide.
Simplify. Your answer should contain only positive exponents.
10) 4x4y2 · 5x4y3
11) 3uv-2/2u2v4·-4u3
12) (2x4y-3)4
13) (2x-3y0) · (x3y4)2
Perform the indicated operation and simplify.
14) (k4 + 8k + 2) - (7k4 + 2k - 7)
Multiply as indicated and simplify.
15) (5v - 1)(2v2 + 2v - 7)
Solve the equation by factoring.
16) 3n2 = -15 + 14n
Solve the equation by completing the square.
17) a2 - 10a - 140 = -9
Solve the equation by use of the quadratic formula.
18) 5r2 - 8 = 2r
State the excluded values for the following expression. Then simplify the expression.
19) p2 + 12 p + 32/p2 - 2p - 80
Solve the equation and show the check of the potential answer(s). If any answers are excluded values, state this on your answer sheet.
20) 1/x-2 = 1 - 6/x2 - 6x + 8
Simplify the radical expressions.
21) √(8x3y4z4)
22) (4√5 - 3)(-3√5 - 1)
Solve the equation and show the check of the potential answer(s). If any answers are extraneous solutions, state this on your answer sheet.
23) -2 = -r + √(32 - 7r)
Show all work as you solve the following problems and write complete answers, including appropriate units.
24) Kayla left school and traveled toward the ocean at an average speed of 24 km/h. Danielle left three hours later and traveled in the same direction but with an average speed of 60 km/h. How long did Kayla travel before Danielle caught up?
25) Shana put $25,000 in an education account on the day her daughter was born. If the account earned 7.15% interest compounded quarterly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent.
|
Describe cognitive concept of memory in mental processing
: Describe the cognitive concept of perception in mental processing as it relates to your selected device or Web site. Describe the cognitive concept of attention in mental processing as it relates to your selected device or Web site
|
|
Annual interest rate or annual percentage rate
: You borrow $13,000 from a bank for three years at an annual interest rate, or annual percentage rate (APR), of 12%. Monthly payments will be made until all the principal and interest have been repaid. What is your monthly payment? If you must pay two..
|
|
Interest compounds monthly on all loan balances
: Mary's credit card situation is out of control because she cannot afford to make her monthly payments. She has three credit cards with the following loan balances and APRs: Card 1, $4,300, 19%; Card 2, $5,500, 23%; and Card 3, $3,400, 17%. Interest c..
|
|
How much is the current budget deficit
: Describe in detail the economic problems associated with an increasing national debt. How much is the national debt, and how much is the current budget deficit? What five foreign countries/organizations are the leading holders of the national debt, a..
|
|
How long did kayla travel before danielle caught up
: Kayla left school and traveled toward the ocean at an average speed of 24 km/h. Danielle left three hours later and traveled in the same direction but with an average speed of 60 km/h. How long did Kayla travel before Danielle caught up
|
|
Distinguish between fiscal policy and monetary policy
: Distinguish between fiscal policy and monetary policy as to the components and intended uses of each type of policy. Material from the text, research, and YouTube within our course may be used.
|
|
Make each strategy successful in terms of increasing profits
: Discuss each of the pricing strategies below. What conditions are necessary to make each strategy successful in terms of increasing profits?
|
|
Excise taxes are more effective at raising tax revenues
: Explain why excise taxes are more effective at raising tax revenues when applied to products with price inelastic demand versus ones with price elastic demand. Under what conditions would it be possible for tax revenues to decline with higher excise ..
|
|
What options are available for increasing the rate of output
: Making a pizza by automative vendor machine. What options are available for increasing the rate of output? Is one such option more desirable than the others over the long run?
|