the number of employees for a certain company has been decreasing each year by 4%. if the company currently…

the number of employees for a certain company has been decreasing each year by 4%. if the company currently has 900 employees and this rate continues, find the number of employees in 10 years.\n\nthe number of employees in 10 years will be approximately \n(round to the nearest whole number as needed.)

the number of employees for a certain company has been decreasing each year by 4%. if the company currently has 900 employees and this rate continues, find the number of employees in 10 years.\n\nthe number of employees in 10 years will be approximately \n(round to the nearest whole number as needed.)

Answer

Explanation:

Step1: Define decay formula

This is exponential decay, use $A = P(1-r)^t$ Where $P=900$, $r=0.04$, $t=10$

Step2: Substitute values

$A = 900(1-0.04)^{10}$

Step3: Simplify base

$A = 900(0.96)^{10}$

Step4: Calculate $(0.96)^{10}$

$(0.96)^{10} \approx 0.664832635$

Step5: Compute final value

$A \approx 900 \times 0.664832635$

Answer:

600