The number of employees for a certain company has been decreasing each year by 4%. If the company currently has 600 employees and this rate continues, find the number of employees in 18 years. The number of employees in 18 years will be approximately (Round to the nearest whole number as needed.)

To find the number of employees in 18 years given a yearly decrease rate of 4%, we can use the formula for exponential decay:

\[ N(t) = N_0 \cdot (1 - r)^t \]

where:
- \( N(t) \) is the number of employees after \( t \) years,
- \( N_0 \) is the initial number of employees,
- \( r \) is the rate of decrease,
- \( t \) is the time in years.

Given:
- \( N_0 = 600 \) (initial number of employees),
- \( r = 0.04 \) (4% decrease per year),
- \( t = 18 \) years.

Substituting these values into the formula:

\[ N(18) = 600 \cdot (1 - 0.04)^{18} \]

First, calculate \( 1 - 0.04 \):

\[ 1 - 0.04 = 0.96 \]

Now raise 0.96 to the power of 18:

\[ 0.96^{18} \approx 0.4467 \]

Next, multiply this result by 600:

\[ N(18) = 600 \cdot 0.4467 \approx 268.02 \]

Rounding to the nearest whole number:

\[ N(18) \approx 268 \]

Therefore, the number of employees in 18 years will be approximately 268.

Would you like further details or have any questions?

Here are some questions you might ask next:
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**Tip:** When dealing with exponential decay or growth, always identify the initial value, the rate of change, and the time period to correctly apply the exponential formula.

Learn how to calculate the number of employees after 18 years given an annual decrease rate of 4%. This problem involves exponential decay, where the initial number of employees is 600 and the rate of decrease is 4% per year. Suitable for high school students and anyone interested in exponential decay calculations.

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