3 years ago

5. The data below shows the high temperature and coffee sales for the day.

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

The answer would be a

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A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time

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Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

$\frac{dP}{dt} = 0.4p-450$

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$\int\ \frac{dP}{0.4p-450} = \int\ dt\\$

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$x = 0.4p - 450 \\dx = 0.4 dy$

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$\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}$

$P (t) = \frac{C}{0.4} e^{0.4t} +1125\\$

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$\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116$

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3 years ago

A Taxi-cab company charges a flat rate of $1.75 plus $0.75 per mile. Jack has no more than $10 to spend on his cab ride.

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Step-by-step explanation:

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