The amount of carbon-14 remaining in an organism, a, is equal to the product of the initial amount of carbon-14 in the organism, a0, and one-half to the power of n, where n is the number of half-lives the organism has experienced. if a frog initially contained 8 grams of carbon-14 and the half-life of carbon-14 is 5,730 years, how much carbon-14 remains in the frog after 11,460 years?

Choco pies are cookies made from chocolate (c), sugar (s), and flour (f). chocolate costs $5 per pound, sugar costs $3 per pound, and flour costs $2 per pound. you spend $50 on 18 pounds of food and buy twice as much flour as sugar. calvin wants to invest $12,000 in deposits. for tax purposes, he wants his total interest to be $600. he wants to put $1000 more in a 2-year deposit than in a 1-year deposit and invest the rest in a 3-year deposit. how much money should he invest in each deposit?