3 years ago

Which does not show a direct variation between x and y?

Mathematics

2 answers:

Valentin [98]3 years ago

6 0

D. I think not sure

butalik [34]3 years ago

3 0

The answer is D.y=x/9

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3 years ago

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3 years ago

Your Aunt Matilda passes away and leaves you with the tidy sum of $50,000. You find a bank that will pay you 5.15 % per year com

ohaa [14]

Answer:

Deduction in the step-by-step explanation

Step-by-step explanation:

If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:

$P(t) = P_{0}*e^{it}$

If you pull out d dollars a year, the equation becomes:

$P(t) = P_{0}*e^{it}-d*t$

If we derive this equation in terms of t, we have

$P(t) = P_{0}*e^{it}-d*t\\dP/dt=d(P_{0}*e^{it})/dt-d(d*t)/dt\\dP/dt=i*P_{0}*e^{it}-d\\$

The first term can be transformed like this:

$i*P_{0}*e^{it} = i*P(t)$

So replacing in the differential equation, we have

$dP/dt=i*P_{0}*e^{it}-d\\dP/dt=i*P(t)-d$

Rearranging

$dP/dt-i*P(t)=-d$

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3 years ago