If we let a = 9,
y(t) = A x 3^(t/9)
(i) If y(t) = 1000 a t = 0, then
1000 = A (3)^(0/a)
A = 1000
(ii) At t= 5
y(5) = 1000 (3)^(5/9)
y(5) = 1841
(iii) At y(t) = 100,000
100,000 = 1000 (3)^(t/9)
t = 37.7 years
(iv) Taking the derivative and substituting, t = 0 , and t = 10
for t = 0
dy/dt = 122 people/year
for t = 10
dy/dt = 414 people/year
I believe the answer is t=23.48244687
Paint is bought to cover square footage. By looking at length and width, we can get the square footage that will total 150 square feet.
This area can be anything from a square to a long skinny rectangle. The thinner the rectangle, the longer the length.
Example: 10' x 15' = 150 sq.ft.
The longest WHOLE foot would be 150 feet long. This would create a rectangle 150' by 1' = 150 square feet.
I did notice you said surface area, which often is for prisms.
Answer:
Step-by-step explanation:
Draw the diameter from point (-1, -5) to point (2, 3).
The triangle has base 3 and height 8.
The diameter of the semicircle is the hypotenuse of the triangle.
The radius is half the diameter.
The total area is the area of the triangle plus the area of the semicircle.