Given V = 120 volts, R = 240 ohms, and L = 0.5 henrys calculate the current 0.003 seconds after the switch is closed Radioactive decay of carbon- 14 is used for estimating the age of organic material. The decay is modeled with the exponential function f(t) = f(0) where is time, f(0) is the amount of material at t = 0, f(t) is the amount of material at time, and k is a constant. Carbon-14 has a half-life of approximately 5,730 year. A sample of paper taken from the Dead Sea Scrolls show that 78.8% of the initial (t = 0) carbon-14 is present . Determine the estimated age of the scrolls. Solve the problem by writing a program in a script file. The program first determines the constant k, then calculates t for f(t) = 0.788f(0), and finally rounds the answer to the nearest year. Fractions can be added by using the smallest common denominator. For example the smallest common denominator of 1/4 and 1/10 is 20. Use the the least common multiple of two numbers. Then use the function to show that the least common multiple of: 6 and 26 is 78. 6 and 34 is 102.