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natka813 [3]
3 years ago
15

Calculate the final selling price to the nearest cent and markdown percent to the nearest hundredth percent:

Mathematics
1 answer:
saw5 [17]3 years ago
6 0
There are a couple of ways you can go at this. One way is to look at the price multipliers. For a markdown of d, the price is multiplied by 1-d. For a markup of u, the price is multiplied by 1+u. Your original price is multiplied by ...
  35% markdown: (1 - 0.35) = 0.65
  25% markdown: (1 - 0.25) = 0.75
  18% markup: (1 + 0.18) = 1.18
  15% markdown: (1 - 0.15) = 0.85

The product of all these multipliers is
  0.65×0.75×1.18×0.85 = 0.4889625

As you note, $5600×0.4889625 = $2738.19.

Since this multiplier is 1-d, we can find d as
  1 - d = 0.4889625
  d = 1 - 0.4889625 = 0.5110375
The markdown percentage is this number times 100%:
  markdown% ≈ 51.1%


_____
Alternatively, you can work with your final value to find the percentage change from the original.
  percent change = ((final value) - (original value))/(original value) × 100%
    = (2738.19 - 5600)/5600 × 100%
    = -2861.81/5600 × 100%
    = -0.5110375 × 100% . . . . . . . this should look familiar
  percent change ≈ -51.1%

When the change is negative, it is a markdown (not a markup).
The markdown is 51.1%.
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Suppose Sally has $28.00 in her bank account and starts saving $18.25 every week. Her friend Suzy has $161.00 in her bank accoun
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a.

Sally has $28.00 in her bank account and starts saving $18.25 every week.

Let x represent the number of weeks from when he have $28.00 in her account.

and y represent the amount in her account at week x;

We can write the function of the case as;

y=mx+b

where m is the amount she saves every week, and b the initial amount in her account.

\begin{gathered} m=\text{ \$18.25} \\ b=\text{ \$28.00} \end{gathered}

So, the function will be;

y=18.25x+28

b.

Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.​

Using the same rule as in a above;

\begin{gathered} m=-15\text{ (withdrawing is negative)} \\ b=161 \end{gathered}

The function will be;

y=-15x+161

c.

The graph of the two functions is shown below;

d.

The point where the two lines intersect is shown in the graph above.

The point is at;

(4,101)

Which is at week 4 and balance $101.

e.

The point at which they intersect is the point where they both have the same values.

It is the week when both Sally and Suzy have the same amount in there account.

So, at the fourth week (week 4) Sally and Suzy both have $101 in their account

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