SOLUTION: If the population in New York was 107.4 million in the year 2006 and it continues to grow at an annual rate of 1.43% then the population in 2028 will be 107.4(1.0143)14 power.

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Question 199906: If the population in New York was 107.4 million in the year 2006 and it continues to grow at an annual rate of 1.43% then the population in 2028 will be
107.4(1.0143)14 power.
Find the predicted population in 2020 to the nearest 10th of a million
My team mates and I can not figure out how to lay out the equation for this one.
So we thought 2020=2006= 14yrs. and 2028-2020 = 8 yrs difference.
then multiply the 1.43 x 12 x 8 ????? I'm/were confused.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'm not sure what year you're going for, so I'm going to assume that you want to know the population in the year 2028.

You're off to a good start, the population equation is

where t=0 is the year 2006 and P is the population in millions.

Since 2028-2006=22, this means that 22 years have passed since 2006 to get to 2028. So when the year is 2028, the value of "t" is

Start with the given equation.

Plug in

Raise 1.0143 to the 22nd power to get 1.367

Multiply

So in the year 2028, the population will be roughly 146.816 million people.

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If you're looking for the population in the year 2020, then...

Take note that 2020-2006=14. So in the year 2020.

Start with the given equation.

Plug in

Raise 1.0143 to the 14th power to get 1.220

Multiply

So in the year 2020, the population will be roughly 131.028 million people.

If you round that value to the nearest tenth of a million, you get 131.0 million people.