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serious [3.7K]
2 years ago
14

Lillie is saving up for a trip she is taking with friends during her break from school. If Lillie's current monthly net pay is $

560.00 and her monthly expenses are $347.49, what percent of her net pay is left for savings? (2 points)
19%
23%
38%
Mathematics
2 answers:
Shtirlitz [24]2 years ago
8 0

Answer:

38%

Step-by-step explanation:

560.00-347.49=212.51\\212.51\div560.00==38

kolbaska11 [484]2 years ago
4 0

Answer:

38%

Step-by-step explanation:

First determine her savings

560-347.49

212.51

Then divide by the total amount

212.51/560

.379482143

Change to percent form

37.948%

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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.
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a) y' -4y = -8

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Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

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The first step is finding y_{n}(t). So:

y' + 4y = 0

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

r + 4 =

r = -4

So:

y_{n}(t) = y_{0}e^{-4t}

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

y_{p}(t) = C

So

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C is a constant, so (C)' = 0.

4C = 8

C = 2

The solution in the form is

y(t) = y_{n}(t) + y_{p}(t)

y(t) = y_{0}e^{-4t} + 2

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3 years ago
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