The projected worth (in millions of dollars) of a large company is modeled by the equation w=

Mathematics

1 answer:

wolverine [178]2 years ago

3 0

Complete Question

The projected worth (in millions of dollars) of a large company is modeled by the equation w =256(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?

Answer:

a) The projected annual percent growth = 9%

b) The company's worth in 2008 = 510.09603627(in million dollars) or $510,096,036.27

Step-by-step explanation:

a) The projected annual percent growth

From the formula of company's worth =

w = 256(1.09)^t

1.09 - 1 = 0.09

Converting decimal to percentage

= 0.09 × 100

= 9%

b) The projected worth of the company is represented as:

w= 256(1.09)^t

t = 2000 - 2008 = 8 years

w = 256(1.09)^8

w = 510.09603627(in million dollars)

or 510.09603627 × 1,000,000

= $510,096,036.27

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