Question

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the number of employees for a certain company has been decreasing each year by 5%. if the company currently has 850 employees and this rate continues, find the number of employees in 10 years.
the number of employees in 10 years will be approximately
(round to the nearest whole number as needed.)

Explanation:

Step1: Define decay formula

Use exponential decay: $N(t) = N_0(1-r)^t$
Where $N_0=850$, $r=0.05$, $t=10$

Step2: Substitute values

$N(10) = 850(1-0.05)^{10}$

Step3: Calculate decay factor

$0.95^{10} \approx 0.5987$

Step4: Compute final employee count

$N(10) \approx 850 \times 0.5987$

Answer:

509