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WITCHER [35]
3 years ago
8

Determining Exponential Growth and Decay in Exercise, use the given information to write an exponential equation for y. Does the

function represent exponential growth or exponential decay?
dy/dt = 5.2y, y = 18 when t = 0
Mathematics
1 answer:
frozen [14]3 years ago
6 0

Answer:

y = Ke^{5.2t}

Exponential growth

Step-by-step explanation:

We can solve this differential equation by the separation of variables method.

We have that:

\frac{dy}{dt} = 5.2y

So

\frac{dy}{y} = 5.2dt

Integrating both sides

\ln{y} = 5.2t + K

In which K is the value of y when t = 0.

We apply the exponential to both sides, so:

y = Ke^{5.2t}

This is our exponential equation. Since the power of e is a positive value, the function represents exponential growth.

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Rewrite in simplest terms: 9(m-9)-4(10m+2)9(m−9)−4(10m+2)
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The required simplified expression for 9(m - 9) - 4(10m + 2) is  -31m - 90.

Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).


<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Question asked to simplify the term 9(m-9)-4(10m+2).

= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
=  -31m - 90

Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is  -31m - 90.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1

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