For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.
20(1.15), 20(1.15)², 20(1.15)³,
Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..
Snakes are increasing by 4.
28, 32, 36,....
Function = 24 + 4n n = number of end year, n =1, 2, 3,...
<span>B) After 10 years: </span>
Parrot = 20(1.15)¹⁰ = 80.91115471
Snakes = 24 + 4(10) = 64
<span>C) After what time they are the same: </span>
We use trial and error:
Test: n 20(1.15^n) (24 + 4n)
1 23 28
2 26.45 32
<span> 3 30.41 36 </span>
4 34.98 40
5 40.23 44
6 46.26 48
7 53.20 52
8 61.18 56
9 70.36 60
After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
280 is the answer ///////////////////////////////////
Answer:
114.89 degrees
245.11 degrees
Step-by-step explanation:
cos is negative in the second and third quadrant ("pointing" on the x-axis to the left).
so, the first answer for the second quadrant is
114.89 degrees.
the answer for the third quadrant is then backwards the same angles from a full 360 degree rotation
360 - 114.89 = 245.11 degrees
One way to solve this is to look at the size of the poster, and then subtract the size of the picture so you have the area that needs to be painted left.
Area of square poster - 3x × 3x = 9x^2
Area of painting - 2x × 2x = 4x^2
9x^2 - 4x^2 = 5x^2
The area is 5x^2
