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3 years ago

Bob earns $2900 per month. 15% of his salary is deducted for his car loan. Which operation do I use?

Mathematics

1 answer:

spayn [35]3 years ago

6 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Bob earns $2900 per month. 15% of his salary is deducted for his car loan.

First, we need to calculate the deduction for the car:

Deduction= 2,900*0.15

Deduction= $435

Now, the monthly salary that remains for Bob:

Montlhy salary= 2,900 - 435

Monthly salary= $2,465

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Given :

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$\rm \large \: x = a ( \Theta + Sin \Theta )$

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Diff w.r.t " θ " we get .

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$\boxed{ \rm \large \underline{ \frac{dy}{d \theta} = a \sin \theta}}$

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From eqn ( 1 ) & ( 2 )

$\: \:$

$\rm \large \frac{dy}{dx} = \frac{ \frac{dy}{d \theta} }{\frac{dx}{d \theta}}$

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$\: \: \: \rm \large = \frac{ \cancel{a} \: sin \theta}{ \cancel a \: (1 + cos \theta)}$

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$\rm \large \: = \frac{sin \theta}{1 + \cos \theta }$

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$\rm \large \: \frac{2 \sin( \frac{\theta }{2} ) cos\frac{\theta }{2} }{2 \: cos ^{2} \frac{\theta }{2}} \: \: ......(sin \: a \: = 2 \: sin \frac{a}{2} \: cos \frac{a}{2} 1 + \: cos \: a \: = 2cos ^{2} \frac{a}{2} )$

$\: \:$

$\rm \large \: \frac{dy}{dx} = \frac{sin \frac{ \theta}{2} }{cos \frac{ \theta}{2} }$

$\: \:$

$\rm \large \: \frac{dy}{dx} = tan \frac{ \theta}{2}$

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$\rm \large \: ( \frac{dy}{dx} ) = tan \frac{ \frac{ \theta}{2} }{2}$

$\: \:$

$\rm \large \: = tan( \frac{ \theta}{4} )$

$\: \:$

$\boxed{ \rm \large \underline{ ( \frac{dy}{dx} ) = \frac{\pi}{2} = 1}}$

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2 years ago

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3 years ago

the united states has 12,383 miles of coastline.if 0.8% of the coastline is located in georgia,about how many miles of coastline

Sever21 [200]

Answer:

825.5 miles of coastline

Step-by-step explanation:

The United States has 12383 miles of coastline.

0.8% of the coastline is in Georgia

Total number of coastline in Georgia will be

0.8% /100% x 12383

0.0667 x 12383

825.5

So there are 825.5 miles of coastline Georgia

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