What is the Thompson's net worth?

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

Thompson's net worth is US$ 37,742

Step-by-step explanation:

Total Assets of the Thompson Family:

Total Assets = 1,520 + 9,250 + 112,340 + 12,800

Total Assets = 135,910

Total Liabilities of the Thompson Family:

Total Liabilities = 5,238 + 580 + 78,570 + 13,780

Total Liabilities = 98,168

Net worth of the Thompson Family

Net worth = Total Assets - Total Liabilities

Net worth = 135,910 - 98,168

Net worth = 37,742

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The graph below shows the value of Edna's profits f(t), in dollars, after t months:

umka21 [38]

Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), $x=6$ and $x=18$ are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
$x=6$
$x-6=0$
$x=18$
$x-18=0$

$(x-6)(x-18)=x^{2}-6x-18x+108$
$=x^{2}-24x+108$

Now that we have our quadratic function, we are going to use the average formula: $m= \frac{f(9)-f(3)}{9-3}$
$where$
$f(9)$ is the function evaluated at the 9th month
 $f(3)$ is the function evaluated at the 3rd month

$m= \frac{f(9)-f(3)}{9-3}$
$m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}$
$m= \frac{-27-45}{6}$
$m= \frac{-72}{6}$
$m=-12$

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: B. −11.63 dollars per month.