A 240 volt, 60Hz branch circuit contains a resistance baseboard heater of 30Ω in parallel with a single phase AC induction motor. The impedance of the motor is 45Ω with a 80% power factor lagging. Calculate the total line current and PF for this circuit.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.