Respuesta :
[tex]y=5500 \ln{(9t+4)}
\\t=5
\\y=5500 \ln{(9 \times 5+4)}
\\y=5500 \ln{49}
\\y=5500 \times \ln{7^2}
\\y=5500 \times 2 \ln{7}
\\y=11000 \times 1.95
\\y=21450
[/tex]
Answer:
21450 mowers have been sold in 5 years.
Step-by-step explanation:
The function for the sales of lawn mowers t years is given by
y = 5500 ln(9t + 4)
where t is in years and y represents number of mowers.
We have to calculate the sales of mowers after 5 years.
So we will use the function to calculate the numbers by putting t = 5
y = 5500×ln(9×5 + 4) = 5500×ln(45+4) = 5500×ln(49) = 5500×ln(7²)
y = 5500×[2ln(7)] = 5500×2×(1.95) = 21450
Therefore answer is 21450 mowers have been sold
