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Alexxandr [17]
3 years ago
5

The Holt family is purchasing 4 cell phones. Store A sells 3 cell phones that cost $165 each, which includes a fourth phone for

free. Store B sells the same cell phone for $135 each. Which store has the better deal for purchasing 4 cell phones? Explain.
Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:Store A

Step-by-step explanation:

Given

Store A sells 3 cells phones that cost $165 each and offer 4 th one free

i.e. Effective cost of each cell phone is  \frac{165\times 3}{4}=\$ 123.75

Store B sells each cell phone at \$ 135 each

clearly, store A provides a better deal than B because the cost of 4 cell phones is less for Store A i.e.

\Rightarrow 165\times3

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Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
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Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

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Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



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