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4 years ago

3.) Your car cost $42,500 when you purchased it in 2015. The value of the car

Mathematics

1 answer:

Dmitrij [34]4 years ago

8 0

So, 42500 x .85 ^ 7 - 1

13623.52 is what i got

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Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ

irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

$\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).$

Then after solving, it become and with theorem it says that the

$\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .$

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

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2 years ago

Please help me if the x coordinate if the y coordinate is 4

Vlad1618 [11]

Answer:

Step-by-step explanation:

The y-coordinate is 4, so we count 4 units up the y-axis from the x-axis. You can also look at it as counting 4 units up from the origin. Then, we look at graph C. When y=4, when we're 4 units above the x-axis, x=1 since the point on the line falls 1 unit to the right of the y-axis.

I hope this helps!

8 0

3 years ago

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6a-5b=9 2a+5b=23 using the addition method

rodikova [14]

Answer:

a = 4

b = 3

:))

4 0

3 years ago

Oliver is building a rectangular dog pen with an area of 18.9 square feet. If the length of the dog pen is 6.3 feet, what is the

Alex787 [66]

Answer:

3 feet

Step-by-step explanation:

A = l x w Formula

18.9 = 6.3 x w Substitution

18.9/6.3 = w Division

3 = w Solution

7 0

3 years ago

Find an<br> explicit formula for the geometric sequence 120, 60, 30, 15, ....

nikdorinn [45]

Answer:

f(n) = 120 * (1/2)^n

Step-by-step explanation:

First the first number is 120, so we get y = 120, then 60/120 = 1/2

So we no the r, or constant rate is 1/2.

After that, we can finish our equation by doing

f(n) = 120 * (1/2)^n

y = 120*(1/2)^x

5 0

3 years ago

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