In which expression should the exponents be multiplied? (53)−4 one third to the 4th times one third to the 7th 3 to the 7th over 3 to the 15th 45 ⋅ 42

Given the choice between receiving $1.000.000 in one month or a single penny-doubled everyday for the period of one month; which option would you choice? show your work to support your answer. (assume that 1 month=30 days)

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

Determine if the equation defines y as a function of x: 2xy = 1. yes o no