- John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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8. John is saving to buy a new car that will cost him $24,000. John started his
savings at the beginning of the school year and has been able to accumulate $1000
after the first month. John plans to continue his savings at a rate proportional to
the amount he still needs to save. Determine John's savings amount as function
of time
Hint: A variable y is said to be proportional to a variable x if y = cx for some
constant c.
Transcribed Image Text:8. John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y = cx for some constant c.
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