Answer: y= 1200 (1.025)^t
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
1200= 1200 (1+ 2.5/100)^5
1200= 1200 (1+ 0.025)^5
1200= 1200 (1.025)^5
For the number of rabbits, y, at the end of t years
y= 1200 (1.025)^t
Feel free to ask for more if needed or if you did not understand something.
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
Answer:
<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>
Step-by-step explanation:
The ratio of pine trees to elm trees in a park is 7:11
Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.
It is also given that, there are 68 more elm trees as compared to the pine trees.
i.e 



Hence, the number of pine tree =
and the number of elm tree = 
It will be (-5, 3) so quadrant 2
1) 2m/s = 2*18/5 =7.2Km/h
2)In 3 hour, he would travel, 7.2*3 = 21.6Km.