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faust18 [17]
3 years ago
14

A snowstorm lasted for three days. During the storm, 8 inches of snow fell on the first day, 6 inches of snow fell on the second

day, and 9 inches of snow fell on the third day. Altogether, how many feet of snow fell during the three-day snowstorm?
Mathematics
1 answer:
PIT_PIT [208]3 years ago
7 0

Answer:

Step-by-step explanation:

23

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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:

Initial Population, P_{i} = 31000

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

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))

P(7) = 3875 + 2495 = 6370

6 0
3 years ago
Meg and Tanner take a road trip together where they take turns driving. The ratio of the number of miles that Meg drives to the
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Answer:

Step-by-step explanation:

\frac{Meg}{Tanner} = \frac{4}{3}

total dist. driven = dist. Meg drove + dist. Tanner drove

Meg = 112

Tanner = x    or how far did Tanner drive?

\frac{112}{x} = \frac{4}{3}

\frac{3}{4} * 112 = x

84 =x   so Tanner drove 84 miles  

total driven = 112 + 84

total driven = 196    :)

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