Carbon-14 decays at a constant rate, so it can be used to determine the age of fossils. In particular, if the original amount of Carbon-14 present is A0, then A(t) = A0e-kt can be used to find the amount of amount of Carbon-14 remaining after t years. Given that the half-life of Carbon-14 is 5,730 years, what is the value of the decay constant k to 5 decimal places?

Imogene invested $8,000 in a bank account that pays 8 percent simple interest at the end of each year. her friend invested the same amount in stocks where the growth of the investment is represented as 2,000 times the square root of 2 less than the time lapsed in years. if y1 and y2 represent the amount earned in dollars and t is the time lapsed in years, which system of equations correctly represents the situation?

What numbers are included in the set of integers? what numbers are not included?

Iam at home. /: i am playing video games. translate the following statement into symbolic form.