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Carrying change[edit]
2.7 miles = 1.35 hours
1 lb = 453.59237 g
penny = 2.5g = 250 g/$
= 0.551155655 lb/$ * 1.35 cal/lb*day
= 0.74406013425 cal/$*day
Value-density of a penny:
![{\displaystyle {\begin{matrix}\mathbb {D} &=&{\frac {2.5g}{\$0.01}}\\\ &=&250\;g/\$\\\ &\approx &0.551\;lb/\$\end{matrix}}}](https://wikimedia.riteme.site/api/rest_v1/media/math/render/svg/051ddc8106545c67f7016d92bea85fd77ecc1b55)
Energy used carrying a penny around for a day:
![{\displaystyle {\begin{matrix}\mathbb {E} &=&\mathbb {D} *{\frac {2.7\;mi}{2\;mph}}*{\frac {1\;cal}{lb*hr}}\\\ &=&\mathbb {D} *1.35\;cal/lb\\\ &\approx &0.744\;cal/\$\end{matrix}}}](https://wikimedia.riteme.site/api/rest_v1/media/math/render/svg/93662418238d411f0a6abdb3d5ad70b060c5e40e)
For http://plutor.org/blog/2006/02/15/when-is-powerball-worth-it/
![{\displaystyle \ {\begin{matrix}v_{ticket}&>&\$1.00\\\\v_{ticket}&=&{\frac {v_{jackpot}}{p_{jackpot}}}+{\frac {v_{2}}{p_{2}}}+{\frac {v_{3}}{p_{3}}}+\cdots +{\frac {v_{n}}{p_{n}}}\\\\\$1.00&<&{\frac {v_{jackpot}}{146,107,962.00}}+{\frac {\$200,000}{3,563,608.83}}+{\frac {\$10,000}{584,431.85}}+{\frac {\$100}{14,254.44}}+\\&&{\frac {\$100}{11,927.18}}+{\frac {\$7}{290.91}}+{\frac {\$7}{745.45}}+{\frac {\$4}{126.88}}+{\frac {\$3}{68.96}}\\\$1.00&<&{\frac {v_{jackpot}}{146,107,962.00}}+\sim 0.19711512\\\\\$117,307,873&<&v_{jackpot}\end{matrix}}\ }](https://wikimedia.riteme.site/api/rest_v1/media/math/render/svg/d94fed01d2a9f8adffc1ae7ea9443ccbd67e2b25)