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Umnica [9.8K]
3 years ago
10

The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilitie

s totaling $108,000. If their total liabilities increase by $7,000 over the next year, by how much would the Roth family need to increase their assets in order to have a net worth of $100,000?
Mathematics
1 answer:
sukhopar [10]3 years ago
4 0
Assets=liability+owners equity
(10000+150000+34000)=(108000+7000)+100000
194000=115000+100000
194000=215000
194000+21000=215000
215000=215000
So the answer is 21000
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Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

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n (Y') = 18

Then,

N (X) = n (X) + n (X')

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N (Y) = n (Y) + n (Y')

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Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

P(X'\cap Y)=P(X')\times P(Y)

                 =\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

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Step-by-step explanation:

Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE

Area of rectangle ABCE = Length × Width

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Area of triangle CDE = \frac{1}{2}(\text{Base})\times (\text{Height})

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Now area of the composite figure = 48 - 12

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