24 x 0.25
6
24+6
30
so the answer is £30
<span>Growth rate = (Present - Past)/Past
Plugging in what we know
Growth rate =(5600â’4420)/4420
Thus
Growth rate=.26697
Now we can plug the growth rate into our first formula which gives us
P=5600e^(.26697â‹…2)
Solve for P and we get
P
=
9551.58
however since you can not have .58 of a person we round down to 9551.
So Youngtown will have 9551 citizens in the year 2000</span>
32 because 4x8=32. if u need anything else please post it here
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.