The number of computers a certain computer store sold since 2005 can be modeled by the function N (t) = 5t+106 and the price per computer can be modeled by P (t) = 13t^2-25t plus 600, where t is the number of years since 2005. According to this model, what is the total amount of revenue generated by the computer store's sales in 2010? Round your answer the nearest cent.

Question

Mathematics

Lucia Sampson

19 May, 10:46

The number of computers a certain computer store sold since 2005 can be modeled by the function N (t) = 5t+106 and the price per computer can be modeled by P (t) = 13t^2-25t plus 600, where t is the number of years since 2005. According to this model, what is the total amount of revenue generated by the computer store's sales in 2010? Round your answer the nearest cent.

+2

Answers (2)

Know the Answer?

Elian Duffy · Answer 1

104,800

Step-by-step explanation:

2010 is 5 years after 2005, so t = 5

The number of computers sold:

N (5) = 5 (5) + 106 = 131

Price per computer:

P (t) = 13 (5²) - 25 (5) + 600 = 800

Revenue:

N * P

131 * 800

104800

Jean Carlson · Answer 2

104800

Step-by-step explanation:

The revenue is the profit times the number of computers sold

R (t) = P (t) * N (t)

= (13t^2-25t+600) * (5t+106)

We want the revenue in 2010 which is 5 years from 2005 so t = 5

R (5) = (13 * 5^2-25*5+600) * (5*5+106)

= (13 * 25 - 125+600) * (25+106)

= (325-125+600) * (25+106)

(325-125+600) * (25+106)

800 * 131

104800