a store runs a promotion in which every 500th  customer (500th, 1000th, 1500th, received a free gift, every 800th  (800th, 1600th, customer receives a voucher, and every 1200th  (1200th, 2400th, customer receives a discount. which lucky customer will be the first to receive all three promotional prizes?

F(x)= 1/x-4, g(x)=4x+1/x a. use composition to prove whether or not the functions are inverses of each other. b. express the domain of the compositions using interval notation.

On the first of each month, shelly runs a 5k race. she keeps track of her times to track her progress. her time in minutes is recorded in the table: jan 40.55 july 35.38 feb 41.51 aug 37.48 mar 42.01 sept 40.87 apr 38.76 oct 48.32 may 36.32 nov 41.59 june 34.28 dec 42.71 determine the difference between the mean of the data, including the outlier and excluding the outlier. round to the hundredths place. 39.98 39.22 0.76 1.21

What is the definition of exponential decay?