2) A product originally costs $125. If the product goes on sale for 20% off, and then goes on sale for an additional 30% off, what is the price of the product? A.      $62.50  B. $70  C.   $65  D.    $90  3) If you pay $22.90 for a DVD that includes a 7% sales tax, what is the price of the DVD before the sales tax? A.      $21.40    B.  $21.30  C.      $21.50  D.    $20.95  

Answers

Answer 1
Answer: To do these, always convert the percents to decimals, so you can subtract it from 1. Remember, 1 is the whole. When you subtract the part that's taken off, you are left with what you have to pay. If you have 20% off of $100, then you are paying for 80% of $100. **of means to multiply** so you would multiply: 0.8X100, which would be $80.

First, multiply 125x0.8

Multiply that answer by 0.7

You should get B. $70

3) multiple 22.90x0.93

You should get D
Answer 2
Answer: 2) B. $70
First you multiply 125 by 20%, but put the percent to a decimal then subtract and of the same with the 30% just add on to it

3) first you multiply 22.90 and .07 and add

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When you add 18 to 1/4 of a number, you get the number itself.

Answers

(1)/(4)x +18=x          \n  18= -(4)/(1) x+x \n 18= (3)/(4) x\n 24= x
(1)/(4) x+18=x \  \ \ \ \ /*4 \n x+72=4x \ \ \ \ /-x \n 72=3x \n 3x=72 \ \ \ /:3 \n x=24

Write an equation of the line in point-slope form through each pair of points (9,5) and (8,2) A) y+5=3(x+9)
B )y+5=1/3(x+9)
C) y-5=3(x-9)
D) y-5=1/3(x-9)

Answers

\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{9}}}\implies \cfrac{-3}{-1}\implies 3 \n\n\n \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\n \cline{1-1} \n y-y_1=m(x-x_1) \n\n \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{3}(x-\stackrel{x_1}{9})

Consider the quadratic function f(x) = -x²-x+2.Determine the following: (enter all numerical answers as integers, fractions, or decimals):
The x-intercepts are
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The line of symmetry has the equation
Give your answers as points, separated by a comma.
Give your answer as a point.

Answers

the x-intercepts are (-1, 0) and (2, 0).
the y-intercept is (0, 2).
the vertex is (-0.5, 2.25).
the line of symmetry has the equation x = -0.5.

The product of 6 and a number is 24 What is the number ​

Answers

First you should start with dividing 24 by 6 and get 4 then you would put the 4 in the equation and done.

The fraction 4/5 is equivalent to which of the following decimals?4
0.8
0.08
0.4

Answers

To convert a fraction to a decimal, divide the numerator by the denominator. 

4 ÷ 5 = 0.8
probably 0.8
 hope i helped

Nth term question help please

Answers

Answer:

\displaystyle{a.) \ \ a_n = -2n+14}\n\n\displaystyle{b.) \ \ a_n = -5n+30}

Step-by-step explanation:

Part A

The common difference is -2 as the sequence decreases down to 2 each. Thus, the sequence is an arithmetic sequence. To find the nth term of an arithmetic sequence, we can follow the formula:

\displaystyle{a_n = a_1+\left(n-1\right)d}

Where a_n is the nth term, a_1 is the first term, and d is the common difference which we know that it is -2. By substitution of values we know, we will have:

\displaystyle{a_n = 12+\left(n-1\right)\left(-2\right)}\n\n\displaystyle{a_n = 12-2n+2}\n\n\displaystyle{a_n = -2n+14}

Hence, the nth term of the sequence is \displaystyle{\bold{a_n = -2n+14}}

Part B

The common difference is -5 as the sequence decreases by 5 each. This also makes the sequence an arithmetic sequence. Thus, we can apply the same formula as we did previously. By substitution of known values, we will have:

\displaystyle{a_n = 25+\left(n-1\right)\left(-5\right)}\n\n\displaystyle{a_n = 25-5n+5}\n\n\displaystyle{a_n = -5n+30}

Hence, the nth term of the sequence is \displaystyle{\bold{a_n = -5n+30}}