production of a factory increased from 10000 units to 17280 units find the percentage of increased units
Answers
Answer:
72.8%
Step-by-step explanation:
sorry can't explain in words
Answer:
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}}A=P(1+
100
R
)
T
On putting respective value in above equation, we get
\mathbf{13310=10000\left ( 1+\frac{R}{100} \right )^{3}}13310=10000(1+
100
R
)
3
This can be written as
\mathbf{\left ( 1+\frac{R}{100} \right )^{3}=\frac{13310}{10000}}(1+
100
R
)
3
=
10000
13310
\mathbf{\left ( 1+\frac{R}{100} \right )^{3}=\frac{1331}{1000}}(1+
100
R
)
3
=
1000
1331
On taking cube root on both side, we get
\mathbf{1+\frac{R}{100}=\frac{11}{10}}1+
100
R
=
10
11
So
\mathbf{\frac{R}{100}=\frac{11}{10}-1}
100
R
=
10
11
−1
\mathbf{\frac{R}{100}=\frac{11-10}{10}}
100
R
=
10
11−10
\mathbf{\frac{R}{100}=\frac{1}{10}}
100
R
=
10
1
\mathbf{R=\frac{100}{10}}R=
10
100
R =10 %