An initial amount of $2700 is invested in an account at an interest rate of 3% per year, compounded continuously. Find the amount in the account after four years. Round your answer to the nearest cent.

Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e.g. 98.76543).

Graph y = -|x| + 2. click on the graph until the correct one appears.

Write an equation of the line that passes through 9,2 and is parallel to the line y=5/3x+9