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loris [4]
3 years ago
15

A store purchased a DVD for $12 and sold it to a costumer for 50% more than the purchase price. The customer was charged a 7% sa

les tax when the DVD was sold. What was the customer's total cost for the DVD
Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

Answer:

The Customer's total cost for DVD was $19.26

Step-by-step explanation:

Given:

Purchase price of DVD = $12

Sold amount = 50% more than purchase amount.

So we will first calculate the amount at which the DVD was sold.

Selling Price of DVD = \frac{50}{100}\times12 +12 =6 +12 = \$18

Sales tax imposed = 7%

So we will find the amount charged in Sales tax.

The amount charged in Sales tax can be calculated by multiplying sales tax percent with Selling Price of DVD and then dividing by 100.

framing in equation form we get;

The amount charged in Sales tax = \frac{7}{100} \times 18 = \$1.26

Now we need to find the Total cost for DVD.

Total cost for DVD is equal to sum of the amount at which the DVD was sold and the amount charged in sales tax.

framing in equation form we get;

Total cost for DVD = \$18 + \$1.26 = \$19.26

Hence The Customer's total cost for DVD was $19.26

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IgorC [24]
First solve the area of the arrow, the arrow consist of a rectangle that has a dimensions of 10 ft x 18 ft. and the triangle has a base of 20 ft and the height is 6 ft.

A = xy + 0.5bh
where x and y are the dimensions of the rectangle
b is the base of the triangle
h is the height of the traingle

A = (10)(18) + 0.5(20)(6)
A = 240 sq ft

number can of paint = 240 sq ft ( 1 can / 100 sq ft)
=2.4 can of paint, since you cant purchase a fraction of the can then the he need to buy 3 cans of paint

Hope this helps!

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3 0
3 years ago
Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced
Sati [7]

Answer:

\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\

W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}

Step-by-step explanation:

\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls},(denoted \:W_1, W_2, \:and\: W_3)

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\

W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}

The tree diagram of this event is also attached.

6 0
4 years ago
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is
Volgvan

Answer:

(x,y)=(0,7.333)

Step-by-step explanation:

We are required to:

Maximize p = x + 2y subject to

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The graph of the lines are plotted and attached below.

From the graph, the vertices of the feasible region are:

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At (4,6), p=4+2(6)=4+12=16

At (0,0), p=0

At (7,0), p=7+2(0)=7

Since 14.666 is the highest, the maximum point of the feasible region is (0,7.333).

At x=0 and y=7.333, the function p is maximized.

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$5,796 is how much it would be. hope it helps
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Read 2 more answers
Y= -3x^2-24x-46 write in vertex form
mario62 [17]

ANSWER

y= -3{(x + 4)}^{2}  + 2

EXPLANATION

The given function is:

y= -3x^2-24x-46

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y= -3(x^2 + 8x)-46

We add and subtract the square of the coefficient of x.

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Factor the perfect square trinomial.

y= -3 {(x + 4)}^{2} )  + 48 -46

The vertex form is:

y= -3{(x + 4)}^{2}  + 2

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