Question

a factory increased its production of cars from 80000 in the year 2006-2007 to 92610 in 2009-2010.find the annual rate of growth of cars. mam in this question what shall the time period be and how shall it be calculated

Answer 1

Answer:

5%is your answer

Step-by-step explanation:

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Answer 2

The given question is a factory increased its production of cars from 80000 in the year 2006-2007 to 92610 in 2009-2010.find the annual rate of growth of cars. mam in this question what shall the period be and how shall it be calculated

In this question, we have to find the annual rate of growth of cars.

Initially, the production of cars is Vo= 80000

The increased production of cars V = 92610.

we have to find the annual rate of growth of cars.

The formula that involves the overall production and rate of interest is given below.

$v = vo {(1 + \frac{r}{100}) }^{n}$

let's substitute the values in the formula

$92610 = 80000( {1 + \frac{r}{100} )}^{3}$

$\frac{92610}{80000} =( {1 + \frac{r}{100} })^{3}$

taking cube root on both sides, we get the values as

$\frac{21}{20} = 1 + \frac{r}{100}$

$\frac{21}{20} - 1 = \frac{r}{100}$

$\frac{21 - 20}{20} = \frac{r}{100}$

$\frac{1}{20} = \frac{r}{100} \\ \frac{100}{20} = r$

$r = 5$

the annual rate of growth of cars is 5 % per annum

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