Carly, an office manager, needs to find a courier to deliver a package. The first courier she is considering charges a fee of $13 plus $3 per kilogram. The second charges $5 plus $4 per
kilogram. Carly determines that, given her package's weight, the two courier services are
equivalent in terms of cost. What is the weight? How much will it cost?
At a package weight of
kilograms, the two couriers both cost $

Identify the graph of y = ln x + 1.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

Which of the following describes how to translate the graph y = |x| to obtain the graph of y = |x+1|+1? shift 1 unit left and 1 unit down shift 1 unit left and 1 unit up shift 1 unit night and 1 unit down shift 1 unit nght and 1 unit up