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An organization can purchase a bulk-mail permit for $190 per year. With the bulk-mail permit, each piece of mail, x, costs 27.6 cents to send. Without the permit, each piece of mail costs 44 cents to send. How many pieces of mail, x, would an organization need to send in a year to make it cheaper to use a bulk-mail permit

Respuesta :

Answer:

1,159 pieces of mail

Step-by-step explanation:

From the information given, you can write an inequality that indicates that the price of sending each piece of mail without the permit is higher than the price of purchasing the bulk-mail permit and then, you can solve for x that is the number of pieces of mail:

0.44x>0.276x+190

0.44x-0.276x>190

0.164x>190

x>190/0.164

x>1,158.5

According to this, the organization needs to send 1,159 pieces of mail in a year to make it cheaper to use a bulk-mail permit.

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