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alexira [117]
3 years ago
10

Mr. Hollis determines that he gives away $800 each month. If he gives away 16% of his budget how much is his overall budget?

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

The overall budget of Mr. Hollis is $5,000.

Step-by-step explanation:

Le the total overall budget of Mr. Hollis   = k

The amount he gives away each month = $800

Also, given that  $ 800 is 16 % of the overall budget.

⇒ 16%  of k  = $800

or, \frac{16}{100}  \times k = 800\implies k = \frac{800 \times 100}{16}   = 5,000

⇒ k = $5,000

or, 16% of the amount $5000    is $800.

Hence, the overall budget of Mr. Hollis is $5,000.

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elena-s [515]

Answer:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64  

Step-by-step explanation:

As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:

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So, it's useful to solve the equation too, in order to verify the result:

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Taking the inverse sine of both sides:

\theta=\pi +arcsin(\frac{3}{5})\approx 3.785\\\\\theta=2\pi -arcsin(\frac{3}{5} ) \approx 5.64

Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:

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