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3 years ago

An item has a listed price of $65. If the sales tax rate is 5%, how much is the sales tax in dollars?

Mathematics

1 answer:

Archy [21]3 years ago

5 0

Sales tax is item/percent or $65*5%, which is a sales tax of 3.25

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Answer:

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3 years ago

The cost of 5 gallons of gasoline is $20. Write an equation to show the relationship between the cost, c, and the gallons of gas

EastWind [94]

Answer:

the gas 4$

Step-by-step explanation:

5x=20

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2 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

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See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

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Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

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Cross multiply

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Open bracket

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Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

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x can't be negative;

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3 years ago

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Answer:

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Now

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The alternative hypothesis is $H_a : p \ne 0.3$

The test statistics is mathematically evaluated as

$t = \frac{\r p - p }{ \frac{\sqrt{ p (1- p )} }{n} }$

substituting values

$t = \frac{0.49 - 0.3 }{ \sqrt{ \frac{0.3 (1- 0.3 ) }{415} }}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago