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Vinil7 [7]
3 years ago
12

Moses earns a gross salary of 10 500 per month. th basic monthly expenses used from the income are as follows ,housing expense 2

1%,food 36%,transport 10%,cellphone bills 1,9%. the rest is for savings . determine the amount of the monthly food expense​
Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

$3780

Step-by-step explanation:

Salary per month = $10500

Expense on food

= 36% of the monthly salary

= 36% of $10500

= (36/100) × $10500

= 36 × $105

= $3780

So, they spend $3780 on food per month.

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If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
arlik [135]

Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

4 0
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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given  

                cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

                  cos( 3x - \frac{\pi }{3} )  = cos (\frac{\pi }{6} )

                      3x - \frac{\pi }{3}  =  \frac{\pi }{6}

                      3x - \frac{\pi }{3  } + \frac{\pi }{3}   =  \frac{\pi }{6} + \frac{\pi }{3}

                      3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}

                     x = \frac{\pi }{6}

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

<u><em>verification </em></u>:-

      cos( 3x - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

put  x = \frac{\pi }{6}

    cos( 3(\frac{\pi }{6})  - \frac{\pi }{3} )  = \frac{\sqrt{3} }{2}

    cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} =  \frac{\sqrt{3} }{2}

Both are equal

∴The solution of the given trigonometric equation

                   x = \frac{\pi }{6}

                     

4 0
2 years ago
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Answer:

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