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uysha [10]
2 years ago
12

University Theater sold 479 tickets for a play. Tickets cost $22 per adult and $14 per senior citizen. If total receipts were $7

810, how many senior citizen tickets were sold?
Mathematics
1 answer:
atroni [7]2 years ago
7 0

Answer:

341 senior tickets were sold

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

We are given;

h₀ = Initial height of the ball = 30

r = Rebound fraction = 0.25

a) The arithmetic sequence of bouncing balls is given by the following;

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The first term of the sequence is;

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S₂ = 30 + (2 × 30 × (0.25 + 0.25²)) = 48.75

The third term of the sequence is;

S₃ = h₀ + 2h₀(r¹ + r² + r³) = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³)) = 49.6875

S₄ = h₀ + 2h₀(r¹ + r² + r³ + r⁴)

S₄ = 30 + (2 × 30 × (0.25 + 0.25² + 0.25³ + 0.25⁴)) = 49.921875

B) The general expression for the nth term of the sequence is;

Sₙ = h₀ + 2h₀((∞, n=1) Σrⁿ)

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