A city has 5 new houses for every 7 old houses. If there are 45 new houses in the city, how many old houses are there?
1 answer:
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Answer:
<em>It will take 9 years for the population to double</em>
Step-by-step explanation:
<u>Exponential Growth </u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.
Substituting in the equation:
Simplifying:
Taking logarithms:
Applying the exponent property of logs:
Solving for t:
Calculating:
It will take 9 years for the population to double
The equation of the line is y = -x + 6 if the passes through the point (4, 2).
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
From the graph:
The slope of the line g = (0-5)/(-5-0)
= 1
The slope perpendicular to the line g:
= -1
y - 2 = -(x - 4)
y - 2 = -x + 4
y = -x + 6
Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).
Learn more about the straight line here:
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