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miss Akunina [59]
3 years ago
8

Diana has $10,000 in a savings account that earns interest annually at the rate of 5%.

Mathematics
1 answer:
kati45 [8]3 years ago
6 0

partA: 0.05*10000=500$ amount of interest.

partB: 10000+500=10500$ the total amount after 1 year.

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Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

{x}^{3}  -  {y}^{3}  = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\  {x}^{3}  -  {7}^{3}  = 386 \\ {x}^{3}  -  343 = 386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}     = 343  +  386 \\ {x}^{3}   = 729 \\ x =  \sqrt[3]{729}  \\ x = 9

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