The McCalls insured their house for 90% of it's value. If the house is valued at $84,000, how much is it insured for?

2 answers:

8 0

The question is just asking for 90% of 84,000. To do this, you can change 90% into decimal by moving the decimal 2 place over which gives .90

After that, you multiply .90 by 84,000 which is $75,600

Another way to do this is to convert 90% to a fraction. To do that, you would put 90/100 which can simplify to 9/10. Then you would multiply that by 84,000. 1 of the 0's can cancel, so you are left with 9x8,400 which gives the same answer

noname [10]3 years ago

6 0

84000 * 0.90 (equivalent to 90%) = $75600

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A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write $R=PC$ .

Per price increase is $20. So four price increase is $ $20*4=$80$ . Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, $4*2=8$ customers are reduced. Hence, total customers is $30-8=22$ .

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B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

$R=(100+2x)(30-2x)=-40x^{2}+400x+3000$

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as $x=-\frac{b}{2a}$ , where a is the coefficient of $x^{2}$ and b is the coefficient of x. So we have,

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That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be $5*20=100$ . So the price that gives the greatest revenue is $100+100=200$ .