Question 164306
When will Johnson be twice as wealthy as Smith if each has $4000 now and if their estates are increasing at the annual rates of $400 for Smith and $1,200 for Johnson?
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Smith value: S(x) = 4000 + 400x, where x is the number of years.
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Johnson value: J(x) = 4000 + 1200x, where x is the number of years.
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EQUATION:
Johnson value = 2(Smith value)
4000+1200x = 2(4000+400x)
4000 + 1200x = 8000 + 800x
4000 = 400x
x = 10 years
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Cheers,
Stan H.