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3 years ago

What is the sales tax of a $15.95 video game if the tax rate is 7%

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer:

$17.07

Step-by-step explanation:

Step 1: Find the percent of the price

Convert 7% to fraction

$= \frac{7}{100}\\\\=\frac{7}{100}\times \:15.95$

Multiply

$=\frac{7\times \:15.95}{100}$

Multiply the factors

$7\times \:15.95=111.65\\\\=\frac{111.65}{100}$

Divide

$\frac{111.65}{100}=1.1165\\\\=1.1165$

Step 2: Add the percent off to the original price

$15.95 + 1.1165\\\\= 17.0665$

Therefore, the total cost including tax in the nearest cent is 17.07 dollars

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Find the value of 7w-2 given that - 2w-4=6 .

Vesnalui [34]

Answer:

w= -5

Step-by-step explanation:

-2w - 4 = 6

-2w - 4 + 4 = 6 + 4
-2w = 10

Isolate "w":

$\frac{-2w}{-2} = \frac{10}{-2}$

w = -5

4 0

3 years ago

.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and

Leni [432]

Answer:

a) Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

b) $t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

$p_v =P(t_{79}>2.236)=0.0141$

Step-by-step explanation:

Information given

$\bar X=130$ represent the sample mean for the amount spent each shopper

$s=40$ represent the sample standard deviation

$n=80$ sample size

$\mu_o =120$ represent the value to verify

t would represent the statistic

$p_v$ represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

The statistic for this case would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236$

The degrees of freedom are given by:

$df = n-1 = 80-1=79$

The p value for this case taking in count the alternative hypothesis would be:

$p_v =P(t_{79}>2.236)=0.0141$

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3 years ago

Jordan is cutting a 2 meter by 1 1/4 meter into two pieces by its diagonal line

Airida [17]

Question:

Jordan is cutting a 2 meter by $1\frac{1}{4}$ meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

Solution:

Length of the paper = 2 m

Width of the paper = $1\frac{1}{4}$ m = $\frac{5}{4}$ m

<em>Area of the rectangle = length × width</em>

$$=2\times \frac{5}{4}$

$$= \frac{5}{2} \ m^2$

<em>Diagonal of a rectangle divides it into two equal parts.</em>

Area of each piece = Area of the rectangle ÷ 2

$$=\frac{ \frac{5}{2}}{2}$

$$=\frac{5}{4} \ m^2$

$$=1 \frac{1}{4} \ m^2$

Area of each piece of paper is $1 \frac{1}{4} \ m^2$ .

7 0

3 years ago

Which estimate is closest to the actual value?

Rzqust [24]

Answer:

Answer is -6.9

Step-by-step explanation:

I hope it's helpful!

3 0

3 years ago

Someone please answer this correctly!!

Luda [366]

Answer:

1.98 × 10^10

Step-by-step explanation:

First solve for how many text messages were sent out per one month:

22,000,000 × 900

19,800,000,000

Convert into scientific notation:

1.98 × 10^10

In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.

6 0

2 years ago

What is the sales tax of a $15.95 video game if the tax rate is 7%​

What is the sales tax of a $15.95 video game if the tax rate is 7%