rachelmaddie
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- Aug 30, 2019
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Is this correct?
Apply the growth formula to find when the sale of cars will be more than the sale of motorcycles.
y = a (1 + r) x
where, a = initial amount, r = growth rate as a decimal, x = number of time intervals passed (days, months, years), and y = amount after x time
Equation for motorcycles: y = 5.75(1 + 0.16) x
Equation for cars: y = 3.5(1 + 0.25) x
3.5(1 + 0.25) x > 5.75(1 + 0.16) x
3.5(1.25) x > 5.75(1.16) x
3.5(1.25) x > 5.75(1.16) x
(1.25) x / (1.16) x > 5.75/3.5
(1.25 / 1.16) x > 1. 64285714286
x * In (1.25 / 1.16) x > In (1.64285714286)
x > In(1.64285714286/In(1.25/1.16)
x > 6.6436473051
In approximately 6.644 years, the sale of cars will be more than the sale of motorcycles.
Apply the growth formula to find when the sale of cars will be more than the sale of motorcycles.
y = a (1 + r) x
where, a = initial amount, r = growth rate as a decimal, x = number of time intervals passed (days, months, years), and y = amount after x time
Equation for motorcycles: y = 5.75(1 + 0.16) x
Equation for cars: y = 3.5(1 + 0.25) x
3.5(1 + 0.25) x > 5.75(1 + 0.16) x
3.5(1.25) x > 5.75(1.16) x
3.5(1.25) x > 5.75(1.16) x
(1.25) x / (1.16) x > 5.75/3.5
(1.25 / 1.16) x > 1. 64285714286
x * In (1.25 / 1.16) x > In (1.64285714286)
x > In(1.64285714286/In(1.25/1.16)
x > 6.6436473051
In approximately 6.644 years, the sale of cars will be more than the sale of motorcycles.