2 years ago

Please help. I’ll mark you as brainliest if correct!

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

5 0

Answer:

650 Country A Dollars

Step-by-step explanation:

1 Country B Dollar = 1.3 Country A Dollar

Country A Dollars for 500 Country B Dollars = 500 x 1.3 = 650

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Question 3 Unsaved

bazaltina [42]

Answer:

Step-by-step explanation:

DE given is

y''+8y'+15y=0, y(0)=0, y'(0)=1

Take Laplace on the DE

We get

$s^2 Y(s) -sY(0) -y'(0)+8(sY(s)-y(0))+15Y(s) =0\\s^2 Y(s) -s(0) -1+8(sY(s)-0)+15Y(s) =0\\Y(s)(s^2+8s+15)-1=0\\Y(s) = \frac{1}{s^2+8s+15}$

Simplify to get

Y(s) = $\frac{1}{2}[ {\frac{1}{s+3} -\frac{1}{s+5} }]$

Take inverse

$y(t) = \frac{e^{-3t} -e^{-5t}}{2}$

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