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the number of printers sold since 2003 at mike's office supply store can be modeled by the function N (t) = 15t + 85 and the price per printer can be modeled by P (t) = 15t2 - 32t + 126, where t is the number of years since 2003. according to this model. what is the total amount of revenue generated by the sales of printers in the office supply store in 2009?

Respuesta :

kudzordzifrancis

Answer:

82,950

Step-by-step explanation:

The number of printers sold is modeled by the function:

[tex]N(t)=15t+85[/tex]

The price per printer is modeled by [tex]P(t)=15t^2-32t+126[/tex],where t is the number of years since 2003.

From 2009 to 2003, we have t=6 years.

The number of printers sold is [tex]N(6)=15(6)+85=175[/tex]

The price per printer is [tex]P(6)=15(6)^2-32(6)+126=474[/tex],

The revenue generated is a number of printers times unit price.

[tex]R(6)=474*175=82950[/tex]

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