Ramona is 39 years old, and she owns her car, which she uses to drive to work. Her collision deductible is $500, and she does not have comprehensive coverage. If her car's safety rating is 17, what is her annual premium?

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) = .

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.