Suppose the population in a town has an average growth rate of 18% . if there are 15,500 people now living in town, in about how many years will the population grow to 30,000? use the equation 30,000 = (15,500)(1.18)x and round the value of x to the nearest year.
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Option C. 4 years

Step-by-step explanation:

Population growth of a town is described by the equation

where x is the number of years.

Now we have to calculate the duration after which population of the town will be 30000 with an average growth rate of 18%.

We will use the equation to get the value of x.

Now we take log on both the sides of the equation.

Log(1.94) = xlog(1.18)

0.2878 = .0719x

Therefore after 4 years population of the town will be 30000.

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step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3