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2 years ago

The Chambers family has a net monthly income of $6,500.

Mathematics

2 answers:

Lisa [10]2 years ago

8 0

.18 x 6500 = 1170

1170 - 200 = 970

Answer = $970

andrezito [222]2 years ago

5 0

Answer:

Option C $970 is the new clothing budget.

Step-by-step explanation:

The Chambers family has a net monthly income = $6,500

Chambers family budget for Clothing = 18% of net income

= (18/100) × 6500

= 0.18 × 6500 = $1,170.00

The budget of Chambers family is $1,170.00 per month, Now the family decides to reduce its clothing budget by $200 a month.

Therefore, we subtract $200 from his old budget to get new clothing budget.

1,170 - 200 = $970.00

Now the new clothing budget of the family is $970.

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Step-by-step explanation:

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Please see the attached image below, to find more information about the graph

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$y-y_1=m(x-x_1)$

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The tangent line to the given curve at the given point is $y=9x-26$ .

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function $f(x)=2x^2-7x+6$ at $x=4$ (the slope of the tangent line at $x=4$ ):

$\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}$

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$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

$2x^2-7x-4=(x-4)(2x+1)$

Let's check this with FOIL:

First: $x(2x)=2x^2$

Outer: $x(1)=x$

Inner: $(-4)(2x)=-8x$

Last: $-4(1)=-4$

---------------------------------Add!

$2x^2-7x-4$

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This means we have this so far in the simplifying of the above limit:

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

$\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}$

$\lim_{x \rightarrow 4}(2x+1)$

Now we get to replace x with 4 since we have no division by 0 to worry about:

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Step-by-step explanation:

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In other words, the image M'(6, -3) is obtained after the dilation by a scale factor 3/2 centered at the origin.

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