Math, asked by gupthsriram813, 1 year ago

A car factory increased its production of cars from 80000 in 2004 to 92610 in 2007 find the annual rate of growth of production of cars

Answers

Answered by AJThe123456
4
Heyy mate ❤✌❤

Here's your Answer...

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V=92610              
       
V=V0(1+r/100)n

92610=80000(1+r%)3

12610=(1+r%)3

(23.28)3=(1+r%)3

r=22.28% 
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Answered by rajeev378
21
\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!}}}

<b><i><font face=Copper black size=4 color=blue>
Here is your answer
we can be take the value as
T = 3 years
( 2007 - 2004)
P = 80000
A = 92610
R = r%
As we know that
A = P (1+r/100)^t
92610 = 80000(1 +  \frac{r}{100} ) {}^{3}  \\  \frac{92610}{80000}  = (1 +  \frac{r}{100} ) {}^{3}  \\  (\frac{21}{20} ) {}^{3}  = (1 +  \frac{r}{100} ) {}^{3}  \\ on \: comparing \\  \frac{21}{20}  = 1 +  \frac{r}{100}  \\  \frac{21}{20}  - 1 =  \frac{r}{100}  \\  \frac{21 - 21}{20}  =  \frac{r}{100}  \\  \frac{1}{20}  =  \frac{r}{100}  \\ r =  \frac{100}{20}  \\ r = 5\%

So Annual Rate of growth of production is 5%

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