4 years ago

What is (14x-3) (7x + 18)? Please show all the work on how you got your answer.

Mathematics

1 answer:

Svet_ta [14]4 years ago

7 0

Answer:

98x^2_273x_54

Step-by-step explanation:

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Compound Interest. Pre calc. Ignore what I have written so far.

nevsk [136]

a) The initial number of infections refers to the time t = 0, not 1. At the start, there are

$P(0) = \dfrac{700}{1 + 49e^{-0}} = \dfrac{700}2 = \boxed{350}$

infected students.

b) Here you look for the time t such that P(t) = 600. We have

$\dfrac{700}{1+49e^{-0.3t}} = 600$

$\dfrac{700}{600} = 1+49e^{-0.3t}$

$\dfrac76 = 1+49e^{-0.3t}$

$\dfrac16 = 49e^{-0.3t}$

$\dfrac1{294} = e^{-0.3t}$

$\ln\left(\dfrac1{294}\right) = \ln\left(e^{-0.3t}\right)$

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Rounding up, the school will close after around 19 days.

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