Pretty difficult problem, but that’s why I’m here.
First we need to identify what we’re looking for, which is t. So now plug 450k into equation and solve for t.
450000 = 250000e^0.013t
Now to solve this, we need to remember this rule: if you take natural log of e you can remove x from exponent. And natural log of e is 1.
Basically ln(e^x) = xln(e) = 1*x
So knowing this first we need to isolate e
450000/250000 = e^0.013t
1.8 = e^0.013t
Now take natural log of both
Ln(1.8) = ln(e^0.013t)
Ln(1.8) = 0.013t*ln(e)
Ln(1.8) = 0.013t * 1
Now solve for t
Ln(1.8)/0.013 = t
T= 45.21435 years
Now just to check our work plug that into original equation which we get:
449999.94 which is basically 500k (just with an error caused by lack of decimals)
So our final solution will be in the 45th year after about 2 and a half months it will reach 450k people.
Answer:
So each interior angle measurement of the regular triangle is 60 degrees.
Step-by-step explanation:
If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.
If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.
If need more convincing, let's actually solve:
x+x+x=180
3x=180
x=180/3
x=60
So each interior angle measurement of the regular triangle is 60 degrees.
If you plug in the # the only one that is correct is y-8=-0.2(x+10)
The answer is nine: 17 minus 8 is 9