Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
We know that
tan 32°=opposite side/adjacent side
[adjacent side]=[opposite side]/tan 32°
in this problem
opposite side-----> will be the altitude of the flock of birds minus your eye level above the ground
(12000-6)-----> 11994 ft
adjacent side------->will be the horizontal distance between you and the birds
32°------> <span>an angle of elevation
</span>
[adjacent side]=[11994]/tan 32°-------> 19194.41 ft
the answer is
<span>The horizontal distance from the birds is 19194.41 ft</span>
The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
#SPJ1
Answer:
Discount=20%
Profit=14.20%
Step-by-step explanation:
Answer:
x = 25%
Step-by-step explanation:
At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.
At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.
The value of x remained the same for both sales. x = 25% or 0.25
