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.
We are going to rewrite both numbers:
(4.2 × 10 ^ 6) = 4200000
(2.25 × 10 ^ 5) = 225000
Adding we have:
4200000 + 225000 = 4425000
Rewriting in exponential notation we have:
4425000 = 4,425 * 10 ^ 6
Answer:
(4.2 × 10 ^ 6) + (2.25 × 10 ^ 5) is equal to:
4,425 * 10 ^ 6
Ax + By = C form of the given equation is –6x + y = –28.
Solution:
Given equation is y – 2 = 6(x – 5).
To write the equation in Ax + By = C format:
y – 2 = 6(x – 5)
y – 2 = 6x – 30
Add 2 on both sides of the equation.
y – 2 + 2 = 6x – 30 + 2
y = 6x – 28
Subtract 6x from both sides of the equation.
y – 6x = 6x – 28 – 6x
y – 6x = –28
Arrange the terms in the equation.
–6x + y = –28
This is in the form of Ax + By = C.
Here A = –6, B = 1 and C = –28.
Answer:
it 85 to the third power
Step-by-step explanation:
i gotchu gng
The answer by the sequence:
Width of the garden = w
Length of the garden = 2w+3
Width of the entire plot = w + 0.5w = 1.5w
Length of the entire plot = (2w + 3) 0.5w = 2.5w + 3
Area of the garden = w (2w + 3)
Area of the entire plot = 1.5w (2.5w + 3)
Area of the garden = 2w² + 3w
Area of the entire plot = 3.75w² + 4.5w
Area of border = area of the entire plot - area of the garden
= 3.75w² + 4.5w - (2w² + 3w)
Area of the border = 3.75w² + 4.5w - 2w² - 3w
Area of the border = 1.75w² + 1.5w
