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Answer:
Kimmy balance in December will be $545.21.
Step-by-step explanation:
Given:
Balance in account in June = $76.23
Now Given, by September her balance is 5 time as much as her June
It means that Balance in account till September is 5 times Balance in account in June.
framing in equation form we get;
Balance in account till September =
Also Given:
Balance Deposited in account between September and December = $87.83
Now We need to find balance till December.
Kimmy balance till December will equal to sum of Balance in account in June and Balance in account till September and Balance Deposited in account between September and December.
framing in equation form we get;
Kimmy balance till December =
Hence Kimmy balance in December will be $545.21.
The formula of the 3rd Kepler`s Law:
![4 \pi ^{2} r ^{3} = T^{2}GM \\ r^{3} = \frac{T ^{2} GM}{4 \pi^{2} } \\ r = \sqrt[3]{ \frac{T ^{2}GM }{4 \pi ^{2} } }](https://tex.z-dn.net/?f=4%20%5Cpi%20%5E%7B2%7D%20r%20%5E%7B3%7D%20%3D%20T%5E%7B2%7DGM%20%5C%5C%20r%5E%7B3%7D%20%20%3D%20%5Cfrac%7BT%20%5E%7B2%7D%20GM%7D%7B4%20%5Cpi%5E%7B2%7D%20%7D%20%20%5C%5C%20r%20%3D%20%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7BT%20%5E%7B2%7DGM%20%7D%7B4%20%5Cpi%20%20%5E%7B2%7D%20%7D%20%7D%20%20)