Determine whether the improper integral converges or diverges, and find the value of each that converges.
∫^[infinity]_0 xe^4x dx

Achemist has 200 ml of a 10% sucrose solution. she adds x ml of a 40% sucrose solution. the percent concentration, y, of the final mixture is given by the rational function: the chemist needs the concentration of the final mixture to be 30%. how many milliliters of the 40% solution should she add to the 10% solution to get this concentration?

Solve the equation: x - 9 = -6 + 5 a. 21 b. 7 c. 14 d. 2

Calculate the effective quarterly compound interest rate equivalent to a 1% of monthly compound interest rate.