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Nataliya [291]
3 years ago
5

A TV has a listed price of $695.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax incl

uded. Round your answer to the nearest cent, as necessary.
Mathematics
1 answer:
vivado [14]3 years ago
6 0

Answer:

7.75%/100×695.95=53.93

695.95+53.93=749.88

answer:749.90

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3 years ago
A manufacturer earns Rs4500 in the first month and Rs 6000 in second month. On plotting these points a manufacturer observes a l
UkoKoshka [18]

Answer:

f(x) = 1500x +3000

Step-by-step explanation:

Given

Represent the months with x and the earnings with y.

So:

(x_1,y_1) = (1,4500)

(x_2,y_2) = (2,6000)

Required

Determine the linear function

First, calculate slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{6000 - 4500}{2 - 1}

m = \frac{1500}{1}

m = 1500

The equation is then calculated using:

y = m(x - x_1) + y_1

y = 1500(x - 1) + 4500

y = 1500x - 1500 + 4500

y = 1500x +3000

As a function, we have:

f(x) = 1500x +3000

7 0
2 years ago
a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
6 0
3 years ago
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