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Sagot :
Answer:
26,863 fires
Explanation:
Since the number of fires is increasing at a rate of 6%, this problem can be modeled using an exponential growth model.
[tex]N(t)=N_0(1+r)^t[/tex]• The number of fires in 1986, No = 15,000
,• The rate of increase, r = 6% = 0.06
,• Time, t = 1996 - 1986 = 10 years
We want to find the value of N(t) when t=10.
Substitute the given values into the formula:
[tex]\begin{gathered} N(10)=15,000(1+0.06)^{10} \\ =15,000(1.06)^{10} \\ =26862.7 \\ \approx26,863 \end{gathered}[/tex]If the number of fires continues to increase at the same rate, the number of fires in 1996 will be approximately 26,863.
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