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3 years ago

A sweatshirt is discounted 30%. If the discount is $9, what was the original price of the sweatshirt? Please show your work.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

$30

Step-by-step explanation:

Let the price of sweatshirt be $x.

Discount percentage = 30%

Discount in dollars = 30% of $x

Discount in dollars = 30/100 of $x = $ 30x/100

Given that discount in $ is 9

thus

30x/100 = 9

x = 9*100/30 = 30

Thus, the original price is $30

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Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩

erastovalidia [21]

$\mathbf r(t)=\langle t^2,1-t,4t\rangle$
$\implies\mathbf r'(t)=\langle 2t,-1,4\rangle$

$\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)$
$=\langle10,-1,4\rangle\cdot\langle-4,4,-5\rangle+\langle25,-4,20\rangle\cdot\langle-5,9,3\rangle$
$=(-40-4-20)+(-125-36+60)$
$=-165$

6 0

3 years ago

Brach and Larue is a home goods store chain, and it is about to introduce a new convection oven that’s expected to sell very wel

zvonat [6]

Answer:

$\$12,465$

Step-by-step explanation:

The functions for cost and revenue are given below:

$Projected \:Revenue,R(x)= -13.85x^2 + 1660x\\$Projected Cost, C(x)=55400 -279x\\Projected Profit = Revenue-Cost=R(x)-C(x)\\=-13.85x^2 + 1660x-(55400 -279x)\\=-13.85x^2 + 1660x-55400 +279x\\P(x)=-13.85x^2 + 1939x-55400$

The profit will be maximized at its line of symmetry, $x=-\dfrac{b}{2a}$

From P(x), a=-13.85, b=1939

Line of symmetry,

$x=-\dfrac{b}{2a}=-\dfrac{1939}{2(-13.85)}=70$

The maximum profit that can be made will occur when x=70

$P(x)=-13.85x^2 + 1939x-55400\\P(70)=-13.85(70)^2 + 1939(70)-55400\\=\$12,465$

The maximum profit that can be made form the sales of the oven is $12,465.

6 0

3 years ago

If 50 bicycles cost $100.50, then how many bicycles could you get for $45?

8_murik_8 [283]

Answer

22 WHOLE bicycles

Step by step explanation

If you divide 100.50 by 50 you get how much it cost for each bicycle which is 2.01 and when you divided 45 by 2.01 you get 22 and a bunch of random numbers but you can’t get that part of a bicycle because you are not going to cut a bicycle into pieces so you will be able to buy 22 and you will have some left over money but that doesn’t matter you can get 22 whole bicycle with 45 dollars

5 0

2 years ago

Read 2 more answers

Find the surface area of each shipping package. Which package has the greater surface area? Does the same package have a greater

Kryger [21]

Answer:

greater area: A
no, B has the greater volume

Step-by-step explanation:

The relevant area and volume formulas are ...

A = 2(LW +H(L +W))

V = LWH

When there are multiple instances of the calculations to be done, it is convenient to let a spreadsheet do them. The results are attached.

Figure A has the larger area.

Figure B has the larger volume.

Additional comment

The more "cube-like" the prism is, the less area it will have for the same volume. Here, package B is more "cube-like" than package A. (The ratio of largest-to-smallest dimensions is smaller for package B.)

3 0

2 years ago

Is this a right triangle yes or no ?

slega [8]

Answer:

I don't think so, regular triangle sizes are 3, 4,5. If I am wrong please tell me.

Step-by-step explanation:

3 0

3 years ago