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3 years ago

The amount of tax on a chair was $3.60. The tax rate was 5%. Find the original price of the chair.

Mathematics

1 answer:

marshall27 [118]3 years ago

8 0

9514 1404 393

Answer:

$72.00

Step-by-step explanation:

The relationship between price and tax is ...

tax amount = (tax rate) × (price)

Then the price can be found by dividing by the tax rate:

price = (tax amount)/(tax rate)

price = $3.60 / 0.05 = $72.00

The original price of the chair was $72.00.

Bianca apparently did not pay any attention to the way tax is computed. Nor did she check her work. The original price is not a small fraction of the tax. It is the other way around. Bianca used a wrong relationship between tax and price.

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What is the value of the expression 8.3 × 104 − 2.5 × 103 − 1.9 × 104 written in scientific notation?

bezimeni [28]

Remark work with the two numbers that are 10^4 first. Then add in the one that goes to 10^3

Method one
You could change these all to integers and then take it back to scientific notation.

83 000
-19 000
64 000
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 61 500 <<<<<< answer

Method two
Keep the scientific notation.
8.3 * 10^4
-1.9 * 10^4
6.4 * 10^4
- .25*10^4 Note the powers of ten must be the same.
6.15*10^4 <<<<<<<< answer

Either method works.

You could use your calculator to get the right answer. I'm not sure all calculators retain the scientific notation. Test yours to see what it does. Enter 8.3*10y^x 4 *1 =

Your calculator might have x^y or ^ to record powers. You may also have EE and one of your keys.

See if your calculator returns 8.3*10^4 or if it returns 83000

4 0

3 years ago

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What’s the equation for a line passing through points (-1, 4.5) and (6, 8)?

san4es73 [151]

Answer:

Given points ( -1 , 4.5 ) and ( 6 , 8 )

Step-by-step explanation:

first we should calculate slope 

Slope ( m) 

= ( y2 - y1) / ( x2 - x1) 

= ( 8 - 4.5 ) / ( 6 + 1 )

= 3.5/7

= 0.5

Now the equation of line is given by 

y - y1 = m ( x - x1 )

y - 4.5 = 0.5 ( x + 1 )

( y - 4.5 ) = 0.5 ( x + 1)

y - 4.5 = 0.5x + 0.5

y = 0.5x + 0.5 + 4.5

y = 0.5x + 5

3 0

3 years ago

A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000

VladimirAG [237]

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

$18000+0.04x=55000$

$0.04x=55000-18000$

$0.04x=37000$

$x=925000$

Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.

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4 years ago

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netineya [11]

Answer:

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Step-by-step explanation:

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3 years ago

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x=3k

y=3k

z=4k

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k=180/10

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z=72

answer: 72

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3 years ago

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