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3 years ago

In 2008 a house is worth $350 000.

Mathematics

2 answers:

larisa [96]3 years ago

4 0

Answer:

The value of 2008 is 112% of the Value of 2007.

But we need 100% of the year of 2007.

So 350000 / 112 = 3125 => 1%

3125 * 100 = 312500 => 100%

Value of the house was $312500 at the begining

of 2007.

julsineya [31]3 years ago

3 0

Answer:

The value of 2008 is 112% of the Value of 2007.

But we need 100% of the year of 2007.

So 350000/112=3125=>1%

3125*100=312500=>100%

The answer is $312500

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Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 mill

abruzzese [7]

Answer:

V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794 million per year

Step-by-step explanation:

Given that oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were 3 million barrels of oil in the well; six years later 1,500,000 barrels remain.

i.e. if V stands for volume of oil, then

$V' =kV\\dv/V= kdt\\ln V = kt+C\\V = Ae^{kt}$

To find A and k

V(0) = A = 3 million

Hence V = $3e^{kt}$

V(6) = 1.5

i.e. $1.5 = 3e^{6k}\\ln 1.5 =ln 3 +6k\\k = -0.11552$

$V(t) = 3e^{-0.11552t}$

a) Using the above value of k , we have

$V' = -0.11552 *V\\= -0.11552(1.8)\\ \\=-0.20794$ million per year.

4 0

3 years ago

john read the first 114 pages of a novel which is 3 pages less than 1/3 of the novel. write the equation

tatyana61 [14]

The equation is:

$114=\frac{p}{3}-3$

And

Total number of pages are 351

Step-by-step explanation:

The equation has to be formed by using the given information.

Let p be the total number of pages in the novel

Then

1/3rd of the p will pe:

$\frac{p}{3}$

Total pages read by John = 114

Then according to the statement

$114=\frac{p}{3}-3$

We can solve the equation to get the total pages of the novel

$114=\frac{p}{3}-3\\Adding\ 3\ on\ both\ sides\\114+3=\frac{p}{3}-3+3\\117=\frac{p}{3}\\Multiplying\ both\ sides\ by\ 3\\3*117 = \frac{p}{3}*3\\p=351$