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Lemur [1.5K]
2 years ago
13

OK PLEASE HELP ME GUYS I ALWAYS HELP YOU so here it is

Mathematics
1 answer:
gtnhenbr [62]2 years ago
8 0
F=P(1/2)^(t/h)
F=future amount
P=present amount
t=time elapsed
h=legnth of half life

P=96
t=2
h=1
F=96(1/2)^(2/1)
F=96(1/2)^2
F=96(1/4)
F=96/4
F=24 grams



grow by 35%
compound interest
F=P(1+rate)^time
F=95000(1+0.35)^10
F=95000(1.35)^10
F=95000(20.106555868618)
F=1910122.9075187  
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Yuliya22 [10]

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<u>Step-by-step explanation:</u>

Let R represent the amount red ribbon and Y represent the amouont of yellow ribbon.

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Use substitution method to solve:

5(R - 836) = R

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Answer:

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}

Step-by-step explanation:

<u>The Derivative of a Function</u>

The derivative of f, also known as the instantaneous rate of change, or the slope of the tangent line to the graph of f, can be computed by the definition formula

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u=(x+\sqrt{1+x^2})

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Using the change of variables

\displaystyle y'=3[tan^{-1}u]'=3\frac{u'}{1+u^2}

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Operating

\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{1+x^2+2x\sqrt{1+x^2}+1+x^2}

\boxed{\displaystyle y'=3\frac{1+\frac{x}{\sqrt{1+x^2}}}{2+2x^2+2x\sqrt{1+x^2}}}

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