jayjayw64
05.05.2020 •
Mathematics
In a certain area the consumption of electricity has increased at a continuous rate of 8%. If it continued to increase at this rate, find the number of years before three times as much electricity would be needed
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Ответ:
It will take 14.3 years
Step-by-step explanation:
Let the consumption of electricity presently be X kw/h
In the next three years, we would be expecting an increase to 3x kw/h
Since we do not know the number of years it will take, let us represent this by t years.
We can represent the consumption in the next three years by the equation;
x × (1 + 8%)^t = 3x
(1+0.08)^t = 3
(1.08)^t = 3
We can use natural logarithms to get what t is
take the natural logarithm of both sides
ln(1.08)^t = ln3
tln1.08 = ln3
t = ln3/ln1.08 = 1.0986/0.077
t = 14.3 years
Ответ: