The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. the variable t represents the number of years since 2000. what is the projected annual percent of growth, and what should the company be worth in 2008?

Respuesta :

The projected annual growth is 9% and the company worth in 2008 is 440.35 (million dollar).

The project worth of the large company is modeled by an equation [tex]w=221(1.09)^t[/tex]. Where t is a variable that represent number of years since 2008.

First, we will calculate the projected annual growth percentage, then we will calculate what would be the company worth in 2008.

In the questions, the projected annual growth percentage is given in modeled equation that is 9%.

1. The projected annual growth is

Annual percentage -1

=1.09-0.9

=0.09

Now converting the decimal to percentage i.e.

=0.09 x 100 = 9%

2. Now we will calaculate the projected worth of a company in 2008.

The given modeled equation is

[tex]w=221(1.09)^t[/tex]

where t represents number of years from 2000 to 2008 i.e. 8 years

So, solve the given equation

[tex]w= 221(1.09)^8[/tex]

= 221(1.99)

=440.35 (in million dollar)

Or 440.35 x 1,000,000 =  $440,356,343.8135

Therefore the annual projected growth percentage is 9% while company worth in 2008 should be 440.35 (in million dollar)

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