Automobile sales in a country were 20.6 million thisâ year, a 4.9â% increase over last year. Find the number of auto sales in the country last year.?

number â(Round to the nearestâ tenth.)?

Respuesta :

Answer: 19.6 million

Step-by-step explanation:

The exponential growth function is given by :-

[tex]A=A_0(1+r)^x[/tex], where A is the initial amount , r is rate of interest and x is time period.

Given : The automobile sales in a country this year : A= 20.6 million

The rate of increase : r = 4.9 %=0.049

For last year , we take x = 1 , then the required exponential equation will be :-

[tex]20.6=A_0(1+0.049)^1\\\\\Rightarrow\ A_0=\dfrac{20.6}{1.049}=19.63775\approx19.6[/tex]

Hence, the  number of auto sales in the country last year = 19.6 million.

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