To find the number of employees in 15 years given a yearly decrease of 8%, we can use the formula for exponential decay:
\[ N = N_0 \times (1 - r)^t \]
where:
- \(N\) is the number of employees after \(t\) years,
- \(N_0\) is the current number of employees,
- \(r\) is the rate of decrease,
- \(t\) is the number of years.
Given:
- \(N_0 = 560\),
- \(r = 0.08\),
- \(t = 15\).
Plugging these values into the formula:
\[ N = 560 \times (1 - 0.08)^{15} \] \[ N = 560 \times (0.92)^{15} \]
Now, calculate \(0.92^{15}\):
\[ 0.92^{15} \approx 0.2675 \]
Now multiply this value by 560:
\[ N \approx 560 \times 0.2675 \approx 149.8 \]
Rounding to the nearest whole number, the number of employees in 15 years will be approximately:
\[ \boxed{150} \]
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