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2 years ago

What is the total price of a $45.79 item when 7% sales tax is added?

Mathematics

2 answers:

mixas84 [53]2 years ago

6 0

Answer: The total price after tax is $48.99.

Step-by-step explanation:

Since we have given that

Total price of an item = $45.79

Rate of sales tax = 7%

So, amount of tax becomes

$\dfrac{7}{100}\times 45.79\\\\=\$3.2053$

So, Amount after tax would become

$\$45.79+\$3.2053\\\\=\$48.99$

Hence, the total price after tax is $48.99.

lesya692 [45]2 years ago

5 0

You find 7% of $45.79 and then add that on to $45.79
7% of $45.79 = $3.21
45.79 + 3.21 = 49
The new price is $49

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A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the

NikAS [45]

Answer:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

$\bar X=0.376$ represent the sample mean for the chloride concentration

$\mu$ population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

$df=n-1=15-1=14$

The Confidence is 0.95 or 95%, the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case with a t distribution with 14 degrees of freedom is $t_{\alpha/2}=2.145$

And the confidence interval is:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

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3 years ago

1/4(x+2)+4=12 <br> x=? Help idk

Gnoma [55]

$\frac{1}{4}(x+2)+4=12$

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3 years ago

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Step-by-step explanation:

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The volume of a cone of radius r and height h is given by V=πr²h³. If the radius and the height both increase at a constant rate

Aloiza [94]

Answer:

The volume of cone is increasing at a rate 1808.64 cubic cm per second.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dr}{dt} = 12\text{ cm per sec}\\\\\dfrac{dh}{dt} = 12\text{ cm per sec}$

Volume of cone =

$V = \dfrac{1}{3}\pi r^2 h$

where r is the radius and h is the height of the cone.

Instant height = 9 cm

Instant radius = 6 cm

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{1}{3}\pi r^2 h)\\\\\dfrac{dV}{dt} = \dfrac{\pi}{3}(2r\dfrac{dr}{dt}h + r^2\dfrac{dh}{dt})$

Putting values, we get,

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2 years ago

The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter

stira [4]

Answer:

P = 1.5x.

Step-by-step explanation:

Let the length of each side of the first triangle be x, then

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= 2x + 1.5x

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So perimeter of smaller triangle is:

P = 1/2 * 3.5x

P = 1,.5x.

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2 years ago