The equation is:
20,000 * e^(0.15 t) = 28,000
e^( 0.15 t ) = 28,000 : 20,000
e^( 0.15 t ) = 1.4
0.15 t = ln 1.4
0.15 t = 0.3365
t = 0.3365 : 0.15
t = 2.24 ≈ 2
Answer:
A ) 2 years.
Answer:
i think that is 147
Step-by-step explanation:
I'm sorry I need the points lol anyways I hope you got the answer to it
Answer:
v = ± sqrt(6/5)
Step-by-step explanation:
v^2+2=8-4v^2
Add 4v^2 to each side
v^2+ 4v^2+2=8-4v^2+ 4v^2
5v^2 +2 = 8
Subtract 2 from each side
5v^2 +2-2 = 8-2
5 v^2 = 6
Divide each side by 5
5v^2 /5 = 6/5
v^2 = 6/5
Take the square root of each side
sqrt(v^2) = ± sqrt(6/5)
v = ± sqrt(6/5)
Answer:
132.233 ft2
Step-by-step explanation:
Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:



And the area of the rectangle is:

If the perimeter of the window is 41 feet, we have:



Now, the equation for the total area of the window is:



To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:
