All categories

2 years ago

If a new jacket sells for $37, find the total cost if you were charged 4% sales tax. Round your answer to the nearest cent.

Mathematics

2 answers:

Sergio [31]2 years ago

5 0

☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️ ☝️YES!☝️

Shkiper50 [21]2 years ago

4 0

Answer:

$38.48

Step-by-step explanation:

To find the sales tax you add 4% to 100%, which is 104%

Then you turn that into a fraction, which is 104/100

Then you multiply 104/100 by 37

You should get 38.48

Hope this helps! : )

You might be interested in

-(4x+6)<2(5x+9)+2x write the solution for interval notation

Ludmilka [50]

Answer:

$(-1.5,\infty)$

Step-by-step explanation:

-(4x+6)<2(5x+9)+2x

Distribute:

-4x-6<10x+18+2x

Combine like terms on either side:

-4x-6<12x+18

We want to now gather variable terms on one side of the inequality and constants (terms without variables) on the opposing side.

Add 4x on both sides:

-6<16x+18

Subtract 18 on both sides:

-24<16x

Divide both sides by 16:

-24/16<x

This implies:

x>-24/16

Reduce:

x>-3/2

x>-1.5

So in an interval notation this is $(-1.5,\infty)$ .

3 0

3 years ago

Alexa has $72 in spending money. She wants to buy matching shirts for her and her friends. The shirt she wants to buy costs $18

Karolina [17]

Answer:

18x ≤ 72

Step-by-step explanation:

18x ≤ 72

7 0

3 years ago

Express the product in simplest form.

Dmitry [639]

The product in simplest form is (x - 4)

Solution:

Given expression is:

$\frac{8}{2x+8} \times \frac{x^2-16}{4}$

We have to find the product in simplest form

In the given expression,

2x + 8 = 2(x+ 4)

We know that,

$a^2-b^2=(a+b)(a-b)$

Therefore,

$x^2-16 = x^2-4^2 =(x+4)(x-4)$

Substitute these in given expression

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4}$

Cancel the common factors,

$\frac{8}{2(x+4)} \times \frac{(x+4)(x-4)}{4} = x - 4$

Thus the product in simplest form is (x - 4)

8 0

3 years ago

How to convert nonlinear equation to linear equation?

9966 [12]

Let's take the non-linear equation:
${x}^{2} = \sqrt{3} y$
First Make The Equation To Be In Terms of Y

*Divide Both sides by
$\sqrt{3}$
$\frac{ {x}^{2} }{ \sqrt{3} } = \frac{ \sqrt{3} y}{ \sqrt{3} }$
*Simplify
$\frac{ {x}^{2} }{ \sqrt{3} } = y$
You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.

*Take The Reciprocal Of Both Sides
$\frac{ \sqrt{3} }{ {x}^{2} } = \frac{1}{y}$
A Linear Equation Takes The Format:
$y = mx + b$
So,
$\frac{1}{y} = y$
$b = 0$
$m(slope) = \frac{ \sqrt{3} }{x}$
$x = \frac{1}{x}$
Resulting in :
$\frac{1}{y} = \frac{ \sqrt{3} }{x} (\frac{1}{x} ) + 0$

4 0

3 years ago

An investigator wants to assess whether the mean m = the weight of passengers flying on small planes exceeds the FAA guideline o

stira [4]

Answer:

$H_{0}: \mu= 185$ and $H_{a}: \mu > 185$

Step-by-step explanation:

The null hypothesis $H_{0}$ states that a population parameter (such as the mean, the standard deviation, and so on) is equal to a hypothesized value. We can write the null hypothesis in the form $H_{0}: parameter = value$

In this context, the investigator's null hypothesis should be that the average total weight is no different than the reported value by the FAA. We can write it in this form $H_{0}: \mu= 185$ .

The alternative hypothesis $H_{a}$ states that a population parameter is smaller, greater, or different than the hypothesized value in the null hypothesis. We can write the alternative hypothesis in one of three forms

$H_{a}: parameter > value\\H_{a}: parameter < value\\H_{a}: parameter \neq value$

The investigator wants to know if the average weight of passengers flying on small planes exceeds the FAA guideline of the average total weight of 185 pounds. He should use $H_{a}: \mu > 185$ as his alternative hypothesis.

7 0

3 years ago