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Pavel [41]
3 years ago
14

Item 6 Find the amount of time. I=$30, P=$500, r=3% The amount of time is years.

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0
Use the interest formula, fill in the given numbers, and solve for the remaining value.
.. I = Prt
.. 30 = 500*.03*t . . . . . substitute the given values
.. 30/15 = t = 2 . . . . . . . divide by the coefficient of t and evaluate

The time is 2 years.
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Consider the first order differential equation
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Answer:

For y(-7) =6.4

        The  largest interval  is  between  

                                       -\infty \to -5

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        -5 \to 5

For  y(0) = 0

          The  largest interval  is  between  

                                        -5 \to 5

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        -5 \to 5

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        9 \to \infty        

   

Step-by-step explanation:

From m the question we are told that

     The first order differential equation is   \frac{y' -  t}{ t^2 -25} =  \frac{e^t}{t-9}

Now the first step is to obtain the domain of the differential equation

Now to do that let consider the denominators

  Now generally

                           t^2 - 25 \ne  0                                           side calculation

                   =>     t\ne \pm5                                                      t^2 - 25 =  0

                                                                                          t = \pm 5

Also              t-9\ne 0                                                     t -9 = 0

        =>          t\ne 9                                                            t= 9    

This means that this  first order differential equation is discontinuous at

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  This  \  is \  illustrated \  below    \  \\      ------------------\\\. \ \ \  | \ \ \   \ \ \   \ \ \ \  \ \ \ \ \ | \ \ \ \ \ \ \ \ \ \ \ \ \ |\\. \  -5 \ \ \ \ \  \ \ \ \ \ \ \  5 \ \ \ \ \ \ \ \ \ \ \ \ \   9

So

For y(-7) =6.4

        The  largest interval  is  between  

                                       -\infty \to -5

For   y(-2.5) = -0.5.

          The  largest interval  is  between  

                                        -5 \to 5

For  y(0) = 0

          The  largest interval  is  between  

                                        -5 \to 5

For y(4.5) = -2.1.

            The  largest interval  is  between  

                                        -5 \to 5

For y(14)= 1.7.

                          The  largest interval  is  between  

                                        9 \to \infty        

   

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