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3241004551 [841]

1 year ago

13

mr.davis divided his money in the ratio 4:6 between james and brett. james got the smaller amount of $540. how much more did bre

tt receive? how much in total was the money?

1 answer:

STALIN [3.7K]1 year ago

4 0

$4x-\ Jamese's\ money\\\\
6x-\ Brett's\ money\\\\\
4x=540\ \ \ |Divide\ by\ 4\\
x=135\\\\
6x=6*135=810\$\\\\\
Brett\ received\ 810\$.$

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Step-by-step explanation:

We are given that initial value problem

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$\frac{dy}{y}=\frac{dt}{t^2-20t+51}$

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t=17

Substitute t=3 in equation (1)

$1=A(3-17)+0$

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Substitute the values of A and B

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$ln y=-\frac{1}{14}ln\mid{t-3}\mid+\frac{1}{14}\mid{t-17}\mid+ln C$

By using formula: $\frac{dx}{x}=ln x+C$

$ln y=\frac{1}{14}(-ln\mid{t-3}\mid+ln\mid{t-17}\mid)+ln C$

Using formula: $ln x-ln y=ln \frac{x}{y}$

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Because ln 1=0

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Because $ln x=y\implies x=e^y$

Substitute the value of C

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