Find the present value of an ordinary annuity which has payments of \( \$ 1100 \) per year for 15 years at \( 6 \% \) compounded annually. What formula is used to find the present value? Select the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. B. \( \left.\quad \mathrm{P}=\frac{1100}{1-(1+\square}\right) \) C. \( \quad \mathrm{P}=\square \) The present value is \( \$ \square \) (Round to the nearest cent.)

Express \( P\left(C^{\prime} \mid D\right) \) in words. A. The probability of a customer not cashing a check, given that the customer did not make a deposit. B. The probability of a customer not cashing a check, given that the customer made a deposit. C. The probability of a customer cashing a check, given that the customer made a deposit. D. The probability of a customer making a deposit, given that the customer cashed a check. \( P\left(C^{\prime} \mid D^{\prime}\right)=\square \) (Type an integer or decimal rounded to two decimal places as needed.)

Solve for \( v \) \[ \frac{4}{7} v=28 \]

3. Why do you think that polygamous mating systems more strongly favor the evolution of virulent diseases in animals and humans than do monogamous breeding systems? Think about this from the perspective of the disease- causing agent.

It takes a hose 4 minutes to fill a rectangular aquarium 8 inches long, 10 inches wide, and 11 inches tall. How long will it take the same hose to fill an aquarium measuring 22 inches by 23 inches by 35 inches?

\( \tan ^{2}(x)=-1-2 \tan (-x) \) \( x=\square \) help (angles)