Question

a car manufacturing company increases the production of the car from 216000 to 311040 in 2 years find the annual rate of the growth of thr cars.​

Answer 1

Answer :-

given:-

• a car manufacturing company increases the production of the car from 216000 to 311040 in 2 years find the annual rate of the growth of thr cars.

so,

x = 311040 and y = 216000 ,

t = 2 years

use formula to calculate growth

percentages.

let, growth rate = r

=> x = y [( 1 + ( r/100 ) ]^t

=> 311040 = 216000 [( 1 + ( r/100 ) ) ]²

=> 311040/216000 = [( 1 + ( r/100 ) ) ]²

=> √1.44 = ( 1 + ( r/100 ) )

=> √1.44 = (100 + r)/ 100

=> 1.2 = (100 + r)/ 100

=> 1.2 × 100 = 100 + r

=> 120 = 100 + r

i.e.

=> 100 + r = 120

=> r = 120 - 100

=> r = 20%

The annual rate of the growth of the cars is 20%.

I hope it helps you....

Answer 2

I hope this answer might help u.