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nadya68 [22]
3 years ago
7

Nyla purchased a dress for $42.60 including tax. The dress tag had an original sticker price of $40.00. What percent sales tax d

id Nyla pay on the dress? Show your work
Mathematics
2 answers:
frozen [14]3 years ago
8 0

Hey there, if you want to know the tax of 40 dollars. The answer is going too be 43.20. Or if you want to know just the tax its going to be 3.20.


The way i did this was to multiply 40 times 8 since each tax is 8 cents.

CaHeK987 [17]3 years ago
3 0

First you subtract the cost without tax from the cost with the tax: 42.60 - 40 = 2.60; Then you divide the part by the original price before tax: 2.60 ÷ 40 = 0.065; Multiply your answer by 100 to get the actual percent: 0.065 x 100 = 6.5. The percent of the sales tax would be 6.5%.


Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

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KATRIN_1 [288]

Answer:

Linear Equation: y=-44000x+88922000

Year 2009: $526000

By year 2021, they have no more fund

Step-by-step explanation:

Slope formula is difference of y/difference of x. 79000-70200/2003-2005=

-88000/2=-44000.

To find the y intercept, x=0.

It should be year 0. 44000x2003=88132000+790000=88922000

Now put it into y=mx+b

y=-44000x+88922000

Plug in 2009.

It should equal 526000.

6 0
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The amount of snow on the ground increased by 4 inches between 4 p.m and 6 p.m. If there was 6 inches of snow on the ground at 4
Vera_Pavlovna [14]
10 inches because at 4 pm it was 6 inches but since it says it increases 4 inches during the times 4 PM through 6 PM it should've gone up another 4 inches. 6 plus 4 equals 10. ?????????
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What is the mean of this data set? 12, 17, 16, 10, 20, 13, 14, 14, 12, 12, 19, 18 0 13.50 O 14.00 O 14.75 O 15.75​
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Read 2 more answers
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by
KatRina [158]

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

6 0
3 years ago
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

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Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
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