The yearly profits of a new small business, in hundreds of dollars, during its first 10 years can be modeled by p(x) = x3 + x2 – 2x + 27, where x is the number of years since the business opened. what was the yearly profit in year 6

a.) $9300

b.) $14,100

c.) $7300

d.) $26,700

Option D is correct

the yearly profit in year 6 is, $26,700

Step-by-step explanation:

As per the statement:

The yearly profits of a new small business, in hundreds of dollars, during its first 10 years can be modeled as:

             ....[1]

where, x is the number of years.

We have to find the yearly profit in 6 years.

⇒

Substitute in [1] we have;

⇒

⇒

Since, p(x) represents the yearly profit in hundreds of dollars.

therefore, the yearly profit in year 6 is, $26,700

1/800 is the right answer