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27 August, 19:11

The sales of lawn mowers t years after a particular model is introduced is given by the function y = 5500 ln (9t + 4), where y is the number of mowers sold. How many mowers will be sold 6 years after a model is introduced?

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  1. 27 August, 20:15
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    The answer is: 22,332 mowers will be sold 6 years after a model is introduced.

    Step-by-step explanation:

    Given that y = 5500 ln (9t + 4)

    In order to calculate the number of mowers (y) that will be sold after 6 years, substitute t = 6 (years):

    y = 5500 ln (9 * 6 + 4) = 5500 In 58

    In 58 = natural logarithm of 58 = 4.0604

    Therefore, y = 5500 In 58 = 5500 * 4.0604 = 22,332.44 = 22,332 mowers.
  2. 27 August, 20:35
    0
    22,332

    Step-by-step explanation:

    Put 6 where t is in the equation and do the arithmetic.

    ... y = 5500 ln (9·6 + 4) = 5500 ln (58) ≈ 22,332
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