A coffee shop offers two yearly options for frequent customers. With Option I, customers pay only $1 per cup of coffee if they pay a one-time fee $50. With Optior 2, customers purchase a refillable mug and pay a fee for each refill, as shown in the graph.
Option 2
80
70
60
Total Cost ($)
30
20+
10-
10 15 20 25 30 35
Number of Refills
Part A
How much more is the one-time fee for Option I compared to the price of the refillable mug for Option 22 Enter the answer in the box

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Written as a simplified polynomial in standard form, what is the result when (2x+8)^2(2x+8) 2 is subtracted from 8x^2-38x 2 −3?

Eiko is wearing a magic ring that increases the power of her healing spell by 30%30\%30%30, percent. without the ring, her healing spell restores health points. which of the following expressions could represent how many health points the spell restores when eiko is wearing the magic ring?