The coordinates of an ordered pair have opposite signs. In which quadrant(s) must the ordered pair lie? Explain.

1 answer:

5 0

There are two cases that fall into this category.
A. abscissa negative, ordinate positive. This type of coordinates are of points which lie on the second quadrant.
B. abscissa positive, ordinate negative. The points having this type of coordinates lie on the fourth quadrant.

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In 2000, the population of Big Springs was 13 thousand. Use the given doubling

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Answer:

The answer is "26179.4".

Step-by-step explanation:

Assume year 2000 as t, that is t =0.

Formula:

$A= A_0e^{rt}$

Where,

$A_0 = \ initial \ pop \\\\r= \ rate \ in \ decimal \\\\t= \ time \ in \ year$

for doubling time,

$r = \frac{log (2)}{t} \\$

$r = \frac{\log (2)}{ 40} \\\\r= \frac{0.301}{40}\\\\r= 0.007$

Given value:

$A = A_0e^{rt} \\\\$

$A_0 = 13000$

$t= 40 \ years$

when year is 2000, t=0 so, year is 2100 year as t = 100.

$A = 13000 \times e^{et}\\\\A = 13000 \times e^{e \times t}\\\\A = 13000 \times e^{0.007 \times 100}\\\\A = 13000 \times e^{0.7}\\\\A= 13000\times 2.0138\\\\A = 26179.4$