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avanturin [10]
3 years ago
9

5.08 Mid-Unit Assessment: Solid Figures Pool 1 Question 5

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

600 ft^3

Step-by-step explanation:

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3 years ago
A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of re
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Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

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rate, r(t) = 1200 /yr

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Step-by-step explanation:

Let the initial population be  P_{i} = 31000

The population after T years is given by the equation:

P(T) = P_{i}S(T) + \int_{0}^{T}S(T - t)r(t) dt          (1)

Thus, the population after 7 years from now is given by using eqn (1):

P(7) = \frac{3100}{1 + 7} + 1200\int_{0}^{7}\frac{1}{8 - t} dt

P(7) = 3875 - 1200ln(8 - t)|_{0}^{7}

P(7) = 3875 - 1200ln(8 - t)|_{0}^{7}

P(7) = 3875 - 1200(ln(1) - ln(8))

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3 years ago
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Step-by-step explanation:

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