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Serga [27]
3 years ago
12

Naty bought a dress for $24.95 and a skirt for $14.95. The sales clerk said the total cost including 9.5% sales tax was $49.40.

Below are the steps the sales clerk completed.
Step 1: 24.95 + 14.95 = 39.90
Step 2: 39.90 + 9.5 = 49.40

Are the clerk's steps correct? If she is incorrect, identify her mistake and explain her error. Explain in writing how to accurately calculate the sales tax, the total cost, and state the correct total. (Round the final answer to the nearest hundredth)
Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

Clerk is wrong at step two. It should be...

To calculate the sales tax take 9.5% and divide by 100 which is 0.095. The tax is 0.095(39.90) = 3.79

Cost of items + Tax = Total cost

Cost of items + .095(cost of items) = Total cost

39.90 + 3.79 = 43.69

Svet_ta [14]3 years ago
4 0
Answer:$43.69
She is incorrect. The mistake she made was adding $9.5 instead of taking 9.5% from the $39.90 and adding it to the initial total. The correct answer is actually $43.69. To find sales tax add your two starting prices and simply find the percent your looking for and add it to the original total
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Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

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*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

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Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

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6 0
3 years ago
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elena55 [62]
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Step-by-step explanation:

Yehhh

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a company uses two vans to transport workers from a free parking lot to the workplace between 7 and 9 a.m. One can has 14 more s
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