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Law Incorporation [45]
3 years ago
11

A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discoun

t off the price.Sales tax of 5% was applied after the disscount.What was the final price of the windchime?Show your work.
Mathematics
2 answers:
Anton [14]3 years ago
8 0
29.925 is the correct answer
Nataly_w [17]3 years ago
4 0
The discount is 5% that means you find 5% of 30 and take from 30
(5/100)*30 = 1.50 dollars
30 - 1.50 = 28.50

Now you put the tax on

28.50 * 1.05 = 29.93
Notice 2 things.
multiply by 1.05 will put on a the sales tax plus the cost of the item (a short cut) and
taking off 5% does not come to the same thing when you add the 5% back on which is the point of the question. 
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Jose wants to find the perimeter of triangle ABC. He uses the distance formula to determine the length of AC. Finish Jose’s calc
umka2103 [35]
Given:
AC = √(-2-3)² + (6-2)²
AC = √ -5² + 4²
AC = √ 25 + 16
AC = √41
AC = 6.40

I am assuming that the triangle is an equilateral triangle. This means that all sides are equal.

AC = AB = BC

Perimeter = 6.40 * 3 sides = 19.20
7 0
4 years ago
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Find the 12th term of the arithmetic sequence whose common difference is d=-7 and whose first term is a = 10.
ycow [4]

Answer:

87

Step-by-step explanation:

tn= a + (n-1)d

t12 = 10 + (12-1)7

=87

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3 years ago
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3 years ago
What is -0.29 + 1.5​
svp [43]

Answer:

1.21

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5 0
3 years ago
You have $6000 with which to build a rectangular enclosure with fencing. The fencing material costs $30 per meter. You also want
Roman55 [17]
Refer to the figure shown below.
x =  the width of the rectangle (meters)
y = the height of the rectangle (meters(

The fencing for the perimeter of the rectangle costs  $30 per meter.
The two inner partitions cost $25 per meter.

The total cost of the fencing is
C = 2(x+y)*$30 + 2y*$25
   = 60(x+y) + 50y 
   = 60x + 110y

Because the amount available to spend is $600, therefore
60x + 110y = 6000
or
6x + 11y = 600
That is,
y = (600 - 6x)/11              (1)

The area is
A = x*y                           (2)

Substitute (1) into (2).
A = (x/11)*(600 - 6x) = (1/11)*(600x - 6x²)

To maximize A, the derivative of A with respect to x is zero.
That is,
600 - 12x = 0
x = 600/12 = 50
From (1), obtain
y = (1/11)*(600 - 6*50) = 300/11 = 27.273

Because the second derivative of A with respect to x is negative, x=50, y = 27.273 will yield the maximum area.

The maximum area is
50*27.273 = 1363.64 m² = 1364 m² (nearest integer)

Answer: 1364 m² (nearest integer)

5 0
3 years ago
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