(25 points) for 10 grams of a radioactive sample of carbon-14, which has a half life of 5730 years, write an equation to model how many grams will remain after x years.

a. y= 10(1/2) ^(x/5730)

b. y=10(2)^(x/5370)

c. y= 10(1/2)^(5730/x)

d. y=10(2)^(5730/x)

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

Adriana sold 50 shares of a company’s stock through a broker. the price per share on that day was $22.98. the broker charged her a 0.75% commission. what was adriana’s real return after deducting the broker’s commission? a. $8.62 b. $229.80 c. $1,140.38 d. $1,149.00

Raymond just got done jumping at super bounce trampoline center. the total cost of his session was $43.25 . he had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. write an equation to determine the number of minutes (t) that raymond was on the trampoline.