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NISA [10]
3 years ago
7

Billie Holiday sells children's clothing for Sara Vaughn's Toddler Shop. Baby blankets sell for $29.99 after a markup rate based

on cost of 109%. Find the cost and the markup.
Mathematics
2 answers:
Marina86 [1]3 years ago
8 0

Answer:

Cost price of the baby blanket is $14.35 and markup is $15.64.

Step-by-step explanation:

As we know selling price of the baby blanket is $29.99 and the markup percentage is 109%.We have to calculate the cost and markup of the blanket.

Let the cost price C.P.= $x

Then with the markup selling price S.P. will be = x+ 109% of x

S.P.= x+1.09x =2.09x

This S.P. is $29.99 given from the question.

2.09x = 29.99

x = 29.99/2.09 = 14.35

Or C.P.=$14.35

And markup = 1.09×14.35 = $15.64

Mariulka [41]3 years ago
6 0

Answer:

Cost: $14.349

Markup: $15.649

Step-by-step explanation:

1. Rewrite the percent as decimal. Divide it by 100, as following:

 109/100=1.09

3. Now, knowing that Baby blankets sell for $29.99 after a markup rate based on cost of 109%, you can write the following expresion:

x+1.09x=29.99

Where x is the cost.

 4. You must solve for x, then, you obtain:

2.09x=29.99\\x=\frac{29.99}{2.09}\\x=14.349

5. The markup is:

M=29.99-14.349=15.649

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alekssr [168]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

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m = (4-0.5)/(2+1)

m = 3.5/3

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m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

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f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

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