For tax purposes, you may have to report the value of your assets, such as cars or refrigerators. The value you report drops with time. ``Straight-line depreciation'' assumes that the value is a linear function of time. If a 1100 dollar refrigerator depreciates completely in 10 years, find a formula for its value as a function of time, in years.
Normally I can do linear equations and formulas just fine, but I can't figure out how to interpret the question to continue. Help is much appreciated.
Normally I can do linear equations and formulas just fine, but I can't figure out how to interpret the question to continue. Help is much appreciated.
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is it not 1100 - 110t = v?
t = time, v = value
t = time, v = value
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to interpret this question, it would be like this:
straight line depreciation, then u know that equation is straight line: V(t) = m.t + c for some constant c and gradient m. in this case t is in unit of year
at year t = 0, we know that V(0) = 1100, apply back to the formula, we got c = 1100.
depreciated completely after 10 years: so at t = 10 => V(10) = 0
put it back to the formula: we got m = -110
then we got the formula: V(t) = -110.t + 1100, for 0 <= t <= 10
straight line depreciation, then u know that equation is straight line: V(t) = m.t + c for some constant c and gradient m. in this case t is in unit of year
at year t = 0, we know that V(0) = 1100, apply back to the formula, we got c = 1100.
depreciated completely after 10 years: so at t = 10 => V(10) = 0
put it back to the formula: we got m = -110
then we got the formula: V(t) = -110.t + 1100, for 0 <= t <= 10
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10r = 1100
r = 110
V(t) = 1100 - 110t
r = 110
V(t) = 1100 - 110t