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matrenka [14]
3 years ago
8

An emerald pendant was marked up 150% from an original cost of $488. Last Friday, Cameron bought the emerald pendant and paid an

additional 5% in sale tax. What was his total cost?
Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

Given parameters:

Mark up percentage  = 150%

Original cost = $488

Sales tax = 5%

Unknown:

His total cost  = ?

Solution:

Marking up a good is the amount a sell adds to a product which makes its selling price usually for a profit.

 Since the emerald was marked up by 150%;

   New cost  = (1 + 1.5) x $488 = $1220

Now, the additional tax was 5%;

   Tax = \frac{5}{100} x 1220 = $61

So, the total cost = New cost + tax  = $1220 + $61 = $1281

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Answer: Hope this helps

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Step-by-step explanation:

y = mx + b

<em>replace b with y-int</em>

y = mx + 100

<em>replace m with the slope which is 3/5</em>

y = 3/5x + 100

<em>How do you get slope?</em>

<em>Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.</em>

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2 years ago
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Answer: B

Step-by-step explanation:

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3 years ago
Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin
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keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}

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\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x

7 0
3 years ago
A family has two children. If B represents a boy and G represents a girl, the set of outcomes for the possible genders of the ch
olga_2 [115]
To determine the probability, the formula is by number of successful outcomes divided by number of possible outcomes. The number of possible outcomes in this problem is 4.

So to compute the probability distribution:

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The probability distribution will look like this:
X       Px(x)
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1          .5
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tester [92]

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe

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3 years ago
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