3 years ago

If the Federal Reserve sets the reserve rate to 2%, what is the resulting money

Mathematics

1 answer:

Yuliya22 [10]3 years ago

6 0

Answer:A

Step-by-step explanation:

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A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day (t in days). Find the insect population after 6 day

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Answer:

The insect population after 6 days is of 1639 insects.

Step-by-step explanation:

A population of insects increases at a rate 230 + 8t + 0.9t2 insects per day

This means that $r(t) = 230 + 8t + 0.9t^2$

The population of insects after x days is given by:

$P(t) = \int_{0}^{x}r(t)dt$

$P(x) = \int_{0}^{x} (230 + 8t + 0.9t^2)$

$P(x) = 230t + 4t^2 + 0.3t^3 + K|_{0}^{x}$

$P(x) = 230x + 4x^2 + 0.3x^3 + K$

In which K is the initital population(which is 50). So

$P(x) = 230x + 4x^2 + 0.3x^3 + 50$

After 6 days:

$P(6) = 230*6 + 4*6^2 + 0.3*6^3 + 50 = 1638.8$

Rounding to the nearest insect, 1639

The insect population after 6 days is of 1639 insects.

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