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grin007 [14]
3 years ago
8

Sidney took out a payday loan of $1200 that charged an $85 fee. If the loan matures in 2 weeks, what is the appropriate effectiv

e interest rate of the loan?
Mathematics
1 answer:
borishaifa [10]3 years ago
3 0
The amount owed increases by $85 in two weeks. 

<span>If the loan were "rolled over" at that point at the same interest rate, and this were done for a full year, the total amount owed would be </span>
<span>(1285/1200)^26 * $1200 </span>

<span>If we subtract the original principle, $1200, and calculate the rest (the compounding interest) as a percentage of that principle, we get </span>

<span>[(1285/1200)^26 * $1200 - $1200] / $1200 = 493%</span>
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Bas_tet [7]

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The function touches the damping factor

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Given function is f(x)=e^{-3x} sin(x) and damping factor as y=e^{-3x} and y=(-1)e^{-3x}

To find when function touches the damping factor:

For f(x)=e^{-3x} sin(x) and y=e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=e^{-3x}

sin(x)=1

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For f(x)=e^{-3x} sin(x) and y=(-1)e^{-3x}

Equating the both the equation,

e^{-3x} sin(x)=(-1)e^{-3x}

sin(x)=(-1)

x=\frac{(4n-1)\pi}{2}

Therefore, The function touches the damping factor x=\frac{(4n-3)\pi}{2} and x=\frac{(4n-1)\pi}{2}

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The x-intercept of f(x) is at x=n\pi

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