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Home » Last term: \( 9 = 3^2 \) - Appfinity Technologies

Last term: \( 9 = 3^2 \) - Appfinity Technologies

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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A company’s profit in thousands of dollars is modeled by \( P(x) = -2x...
This is a quadratic function in vertex form. The vertex occurs at \( x...
So maximum profit occurs when \( x = 5 \), i.e., 500 units.
Plug into \( P(x) \): \( P(5) = -2(25) + 20(5) - 30 = -50 + 100 - 30 =...
Thus, maximum profit is $20,000.
#### Maximum profit: $20,000 at 500 units
The sum of the first \( n \) terms of an arithmetic sequence is \( S_n...
The \( n \)-th term is \( a_n = S_n - S_{n-1} \).
\( S_{10} = 3(100) + 5(10) = 300 + 50 = 350 \)
\( S_9 = 3(81) + 5(9) = 243 + 45 = 288 \)

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