“If a population is growing at a rate of 3% per year, how long will it take to double? Show work.”

1 answer:

6 0

24 yrs, might not be the answer

3%=0.03 you have to get to 6%=0.06

So you find the value of each month in 3%

So 3% divided by 12 months = 0.0025

Now you have the value of each month MULTIPLY until you get 0.06
So: 0.0025 x 1, 2, 3, 4,…….. and so forth

So the your result will be

0.0025per months x 24yrs = 0.06 = 6%

24 years

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Rudiy27

Looking at this problem in terms of geometry makes it easier than trying to think of it algebraically.

If you want the largest possible x+y, it's equivalent to finding a rectangle with width x and length y that has the largest perimeter.

If you want the smallest possible x+y, it's equivalent to finding the rectangle with the smallest perimeter.

However, the area x*y must be constant and = 100.

We know that a square has the smallest perimeter to area ratio. This means that the smallest perimeter rectangle with area 100 is a square with side length 10. For this square, x+y = 20.

We also know that the further the rectangle stretches, the larger its perimeter to area ratio becomes. This means that a rectangle with side lengths 100 and 1 with an area of 100 has the largest perimeter. For this rectangle, x+y = 101.

So, the difference between the max and min values of x+y = 101 - 20 = 81.

6 0

3 years ago

A cylinder has a base with a radius of 5 cm and a height of 15 cm. What is the volume of the cylinder? (Use π = 3.14.) A. 471 cm

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