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son4ous [18]
3 years ago
11

Chaz is a college student. He has a checking account balance of -$52.00. His roomate Wills checking account balance is -$59.25.

Chaz thinks that Will owes more to the bank than Chaz does. Is Chaz correct?
Plsss help and explain, 20 points
Mathematics
1 answer:
torisob [31]3 years ago
3 0
Okay, so if Chaz has a balance of -52.00, and Willis has a balance of -59.25, this means that Willis is further into debt. Chaz would be correct to say that Willis owes more money to the bank. The further into the negatives your bank account is, the more money you owe. Willis owes the bank 7.25 more than Chaz owes. 
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astraxan [27]
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M_X(t)=\mathbb E\left(1+Xt+\dfrac{t^2}{2!}X^2+\dfrac{t^3}{3!}X^3+\cdots\right)
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\varphi_X(t)=\mathbb E(e^{iXt})
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There are lots of ways to compute this integral. For instance, you can take the Laplace transform with respect to x, which gives

\displaystyle\mathcal L_s\left\{\int_0^\infty\frac{\sin(tx)-t\cos(tx)}{t(1+t^2)}\,\mathrm dt\right\}=\int_0^\infty\frac{1-s}{(1+t^2)(s^2+t^2)}\,\mathrm dt
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and taking the inverse transform returns

F_X(x)=\dfrac12+\dfrac1\pi\left(\dfrac\pi2-\pi e^{-x}\right)=1-e^{-x}

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