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anonymous

  • one year ago

help

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  1. anonymous
    • one year ago
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    @Michele_Laino

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  2. Michele_Laino
    • one year ago
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    after \(N\) weeks, Eduardo spends \(7500+300 \cdot N\)

  3. Michele_Laino
    • one year ago
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    and after \(N \) weeks he earns \(850 \cdot N\), so Eduardo will have a profit if the subsequent condition holds: \[850 \cdot N \geqslant 7500 + 300 \cdot N\] namely earnings are greater or equal than expenses

  4. Michele_Laino
    • one year ago
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    please you have to solve that inequality

  5. anonymous
    • one year ago
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    Idk how

  6. Michele_Laino
    • one year ago
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    If I subtract \(300N\) from both sides I get this: \[850N - 300N \geqslant 7500 + 300N - 300N\] please simplify

  7. anonymous
    • one year ago
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    would that be 850-300 for the first part?

  8. Michele_Laino
    • one year ago
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    yes!

  9. anonymous
    • one year ago
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    Ok! 550 right?

  10. Michele_Laino
    • one year ago
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    correct! and what is +350-350=...?

  11. Michele_Laino
    • one year ago
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    oops.. what is +300-300=...?

  12. anonymous
    • one year ago
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    0

  13. anonymous
    • one year ago
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    I think

  14. Michele_Laino
    • one year ago
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    ok! so we get this inequality: \[550N > 7500\]

  15. anonymous
    • one year ago
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    ok

  16. Michele_Laino
    • one year ago
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    I wrote \(>\) because it is better than \(\geqslant \)

  17. anonymous
    • one year ago
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    ok

  18. anonymous
    • one year ago
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    so what would I have to do next?

  19. Michele_Laino
    • one year ago
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    now, we have to divide both side by 550, so we have: \[\frac{{550N}}{{550}} > \frac{{7500}}{{550}}\] please simplify again

  20. anonymous
    • one year ago
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    How would I simplify those

  21. Michele_Laino
    • one year ago
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    what is 7500/550=...?

  22. anonymous
    • one year ago
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    13.636

  23. Michele_Laino
    • one year ago
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    and what is 550/550=...?

  24. anonymous
    • one year ago
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    1

  25. Michele_Laino
    • one year ago
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    ok so we get this: \(1 \cdot N > 13.6363...\)

  26. Michele_Laino
    • one year ago
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    since the number of week has to be a whole number we can choose N=14

  27. anonymous
    • one year ago
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    so it would be 14 weeks?

  28. Michele_Laino
    • one year ago
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    yes!

  29. anonymous
    • one year ago
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    Oh ok thanks

  30. Michele_Laino
    • one year ago
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    :)

  31. anonymous
    • one year ago
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    I have one more

  32. anonymous
    • one year ago
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    @Michele_Laino

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  33. Michele_Laino
    • one year ago
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    If I call with P the age of Pat and with R the age of Ron, then from the text of your problem, I can write this: \[\begin{gathered} 2P + 5 = R \hfill \\ P + R < 35 \hfill \\ \end{gathered} \]

  34. anonymous
    • one year ago
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    ok

  35. anonymous
    • one year ago
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    I'm sorry my internet went down for a few minutes

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