Pat invests $100 each month for 6 months into an account that pays 8% apr compounded monthly. what is the future value of pat's account after 6 months?

a. $733.59
b. $605.93
c. $598.76
d. $610.09

i really need with how to do the solution (apex problems : ( )

The number of fish in a lake can be modeled by the exponential regression equation y=14.08 x 2.08^x where x represents the year

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Which number completes the inequality? 2/3 < _ < 7/9