Please find the attached file for a better understanding of the explanation given here.
the attached diagram is a generated image of the first fifteen rows of a pascal's triangle. As can be seen from the image, the least four-digit number in the first fifteen rows of pascal's triangle is 1001.
In the diagram attached that number is present in the very last row and is highlighted using a yellow rectangle.
We see this same problem pop up here on Brainly every
couple of months. Nobody yet has ever given us enough
information to answer it.
There's no information here that we can use to find out the
weight of any of the cattle placed on feed. There must be
some more information BEFORE this.
Maybe it's in the previous question in the book or on the
homework sheet, and nobody who posts this question ever
includes the information from the question before it.
Year GDP
y (billion $)
1985 577
1986 577+ 3.2% of 577 = 577 * 1.032
1987 577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2
1988 577 * (1.032)^3
1989 577 * (1.032)^4
.... .... => model GDP = 577 * (1.032)^ (y - 1985)
Then, for GDP = $3.4 trillion = $3400 billion =>
3400 = 577 (1.032)^ (y - 1985)
Divide both sides by 577:
(1.032)^ (y - 1985) = 3400 / 577 = 5.892548
Apply logarith to both sides:
(y - 1985) log (1.032) = log 5.892548
=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years
=> y = 1985 + 56.3 = 2041.3
Answer: 2041
Meaning there's only 1 real root, complete the square and you get the answer.
We're going to use this formula, so if x² = 4x² then x = 2x
and if y² = 1 then y = 1
Straight to formula
Because (2x+1)² is basically (2x+1)(2x+1), we get the same value of x.
So the answer is x = -1/2
(When D>0, there are 2 real roots.)
(When D=0, there are only 1 real root.)
(When D<0, there are no real roots, but 2 complex roots.)
