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alukav5142 [94]
3 years ago
5

Festus bought a computer at $736.34, Apple iPad at $249.99, and a printer at 381.23. The sales tax rate is %6. What is the total

purchase price, including sales tax?
Mathematics
1 answer:
tatuchka [14]3 years ago
6 0

The total purchase price including sales tax will be $1449.6136

<em><u>Explanation</u></em>

Festus bought a computer at $736.34, Apple iPad at $249.99 and a printer at $381.23

So, the <u>total price of all three items</u> =(736.34+249.99+381.23) dollar = 1367.56 dollar.

The sales tax rate is 6%. So, <u>the amount of sales tax</u> =(1367.56*0.06) dollar= 82.0536 dollar.

Thus, the total purchase price including sales tax will be:  (1367.56 + 82.0536) dollar = 1449.6136 dollar

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nalin [4]

Answer:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

Step-by-step explanation:

Given the equation:

sin(x)-2sin(x) tan(x)=0

To find:

The solutions of given equation in the range [0, 2\pi) i.e. 0 can be in the answer but 2\pi can not be there in the answer.

Solution:

Taking tan(x) common, we get:

tan(x) (1-2sin(x))=0

The solutions can be given as:

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Let us solve both the equations one by one:

First equation:

tan(x) = 0\\ \Rightarrow x=0, \pi

Second equation:

1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}

Therefore, the answers as a comma separated list are:

0, \dfrac{\pi}{6}, \dfrac{5\pi}{6},  \pi

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