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Answer :
The maximum number of mites in the peach orchard are 1564
Given that,
There are found to be mites in a peach orchard. According to research conducted by the Department of Agriculture, the number of mites t hours after the orchard has been sprayed is roughly represented by the equation N(t)=1600-3tln(0.07t)-t
To find : What is the maximum number of mites in the peach orchard? Round to the nearest whole number.
N(t)=1600-3tln(0.07t)-t
N(19)=1600-3(19)ln(0.07(19))-(19)
N(19)=1600- 16.255 - 19
N(19)=1564.74
N(19)≈1564
Therefore, the maximum number of mites in the peach orchard are 1564
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