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DanielleElmas [232]
2 years ago
12

Ricardo has agreed to tutor for the school. He owes his older brother $59 and would like to end the summer with at least $400 in

savings. How many sessions (s), can Ricardo tutor to meet his goal?
Tutoring - $9 per session

A. s ≥ 31 B. s ≥ 51 C. s ≥ 38 D. s ≥ 83
Mathematics
2 answers:
Dvinal [7]2 years ago
5 0

Answer:

44 or 45

Step-by-step explanation:

400 divided by nine

elixir [45]2 years ago
4 0

Answer:

51 sessions

Step-by-step explanation:

9x - 59 >= 400

9x >= 400 + 59

9x >= 459

x >= 459/9

x >= 51

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djverab [1.8K]

I'll assume the ODE is

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y'' - 3y' + 2y = 0

The characteristic equation

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has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

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For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

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Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

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y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

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6 0
1 year ago
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Answer:

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12.

again

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Step-by-step explanation:

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Step-by-step explanation:

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