Gabriel is going to invest in an account paying an interest rate of 2.8% compounded continuously. How much would Gabriel need to invest, to the nearest cent, for the value of the account to reach $85,000 in 13 years?

Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

5x−4≥12 or 12x+5≤−4 can you with this problem