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?

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.

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