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Look it up in your Textbook, or google it.

Multiply each item by 1 + 67% =1.67 x each item. That is the profit on each item.

$120 / $35 = 3.4285714 - 1 x 100 =242.86% markup.

Check: $35 x [1 + 242.86/100] =

             $35 x 3.4286 =~$120 - Sale price.

2 shirts x $15 each = $30

$30 + $13(necklace) =$43

$43 x 1.0603 = $45.59 - Amount that you should e-mail her.

\(V = \pi r^2 h\\ r = \dfrac{6}{2}~in = \dfrac 1 4 ~ft\\ V = \pi \left(\dfrac 1 4\right)^2 \cdot 5 = \dfrac{5\pi}{16}\\ $60\times \dfrac{5\pi}{16} = $\dfrac{75\pi}{4} \approx $58.90\)

I sure did! Forgot about 1 being counted twice!!.

you fixed it :D

there's probably a number or two in there that are both perfect squares and perfect cubes

\(P[\text{# is neither perfect cube or square}] = 1 - P[\text{it is}] = \\ 1 \\ -P[\text{# is a perfect cube}]\\ -P[\text{# is a perfect square}] \\ +P[\text{# is both a perfect cube and perfect square}]\)

\(P[\text{perfect cube}]=\dfrac{5}{150}=\dfrac{1}{30}\\ P[\text{perfect square}] = \dfrac{12}{150} = \dfrac{2}{25}\\ P[\text{both}] = \dfrac{2}{150}\)

\(P[\text{# is neither cube or square}] = 1 - \dfrac{1}{30}-\dfrac{2}{25}+\dfrac{2}{150}= \dfrac{9}{10}\)

Perfect squares =(1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144) 
Perfect Cubes = (1, 8, 27, 64, 125)                                                     
Perfect squares + Perfect cubes = 12 + 5  - 2 = 15
150 - 15 = 135 - which are neither Perfect square or Perfect cubes.
So, the probability is = 135 / 150 = 9 / 10

\(A = \pi r^2 \approx 3.14 r^2 = 314 ~in^2\\ r^2 = 100~in^2\\ r= 10~in\)

\(25^x - 57 = 43\\ 25^x = 100\\ 5^{2x} = 100\\ 2x\log(5) = \log(100) = 2\\ x = \dfrac{1}{\log(5)}\)

Add up all of the surface areas of the prisms    then subtract   ( the areas where they are touching x 2)

35 *x = 120-35

x = 2.428= 242.8 % mark up

30% 0ff means you pay 70% of original price

.7(32.25) = $22.58

.7 (12)= $8.40                 total $ 30.98

Value = 649.82 (1-.63)^t

   200 = 649.82 (1-.63)^t

200/649.82 = (.37)^t

.3077 = .37^t

log .3077 / log.37 = t=1.19 yrs      1 yr 68 days

3: Each item you are selling you want to earn at least 1 dollar or more on. If you want to use the same percent markup for all items, then what percent markup will work for all items on the list below to earn you at least $1 or more in profit? (Use only whole percent numbers 12%, 34% etc.)

Item:_______ Cost in supplies:________

Necklace      8.00

Rocking horse       15.00

Spin top          1.50

Emerald ring         35.00

Metal Nativity Scene        25.00

Purse       3.00

Wooden bookmark       1.60

The cheapest one will require the largest mark-up to get to $1 profit

Spin top @ 1.50 is the cheapest and requires a 67% mark up.

Diagram:   Haha.....

OK....I see that now

5x = 40 degrees   (since the opposite sides are =)

180 degrees in a triangle so     40 + 40 +   2y+20 = 180     solve for y = 40

One question why did you post this. Just curious?

This is an equilateral triangle because all the sides are the same. The angle measures are 60.

\(5y+10=60, 5y=50, y=10\) so y is 10 degrees.

Notice we didn't even use x.

You are very welcome!

:P

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