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Vlada [557]
2 years ago
9

4. A sum of money is divided between two friends in the ratio 4:9. If the smaller

Mathematics
2 answers:
Lilit [14]2 years ago
6 0

Answer:

1260

Step-by-step explanation:

Mademuasel [1]2 years ago
5 0

Answer:

1260

Step-by-step explanation:

1. if the ratio is 4:9 and your smallest number is $560. You'll want to divide 560 by 4 and you get 140.

2. Next, multiply 140 by 9, and that's your answer 1260.

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Find the solution of the given initial value problem. ty' + 6y = t2 − t + 1, y(1) = 1 6 , t > 0
gtnhenbr [62]

Answer:

Step-by-step explanation:

Given is a differential equation as

ty' + 6y = t^2 - t + 1, y(1) = 1 6 , t > 0

Divide this by t to get in linear form

y'+6y/t = t-1+1/t

This is of the form

y' +p(t) y = Q(t)

where p(t) = 1/te^(\int 1/tdt) = t

So solution would be

yt = \int t^2-t+1 dt\\= t^3/3-t^2/2+t+C

siubstitute y(1) = 16

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In order to make a table, we sample some x values (whichever we want), and we compute the expression for those value. Each x value will yield a unique y value.

If you need this table to graph the function, you'll only need two points, since this is a line, and having two points you just need to connect them.

Here are some samples, feel free to make more if you need to:

f(x)=2x+4\implies f(0)=2\cdot 0 + 4 = 4

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f(x)=2x+4\implies f(3)=2\cdot 3 + 4 = 10

f(x)=2x+4\implies f(4)=2\cdot 4 + 4 = 12

So, we have the following table

\begin{array}{c|c}0&4\\1&6\\2&8\\3&10\\4&12\end{array}

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