Question

In a factory, the production of motorcycles increased from 10000 units to 13310 units in 3 years. Find the annual rate of growth

Answer 1

The annual rate of growth is 10%.

Step-by-step explanation:

• Given data

        Time (T) = 3 years

        Starting production (P) = 10000 units

        Final production (A) = 13310 units

        Let annual rate of growth compound annually = R %

• From relation

        $\mathbf{A=P\left ( 1+\frac{R}{100} \right )^{T}}$

        On putting respective value in above equation, we get

        $\mathbf{13310=10000\left ( 1+\frac{R}{100} \right )^{3}}$

       This can be written as

       $\mathbf{\left ( 1+\frac{R}{100} \right )^{3}=\frac{13310}{10000}}$

       $\mathbf{\left ( 1+\frac{R}{100} \right )^{3}=\frac{1331}{1000}}$

• On taking cube root on both side, we get

       $\mathbf{1+\frac{R}{100}=\frac{11}{10}}$

       So

     $\mathbf{\frac{R}{100}=\frac{11}{10}-1}$

     $\mathbf{\frac{R}{100}=\frac{11-10}{10}}$

     $\mathbf{\frac{R}{100}=\frac{1}{10}}$

     $\mathbf{R=\frac{100}{10}}$

    R =10 %

Answer 2

Answer:

10%

Step-by-step explanation:

thank you....