The nine Ring Wraiths want to fly from Barad-Dur to Rivendell. Rivendell is directly north of Barad-Dur. The Dark Tower reports that the wind is coming from the west at 63 miles per hour. In order to travel in a straight line, the Ring Wraiths decide to head northwest. At what speed should they fy (omit units)?

lve los siguientes ejercicios: \( -20+(-9)+19= \)

Suppose \( 48 \% \) of the banks in Switzerland are private organizations. If a sample of 475 banks is selected, what is the probability that the sample proportion of private banks will be greater than \( 53 \% \) ? Round your answer to four decimal places.

Pregunta 2 Calcule \( \sum_{k=1}^{4}\left(k^{2}-2^{x}+1\right) \) (A) 16 (B) 8 (C) 24 (D) 4

Solve the system of equations by the substitution method. \( \left\{\begin{array}{l}4 x-y=5 \\ 7 x-2 y=11\end{array}\right. \) A. The solution is \( \square \). (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions; \( \{(x, y) \mid 4 x-y=5\} \) or \( \{(x, y) \mid 7 x-2 y=11\} \). C. There is no solution; \( \} \) or \( \varnothing \).

Use the compound interest formula to compute the balance in the following account after the stated period of time, assuming interest is compounded annually. \( \$ 14,000 \) invested at an APR of \( 4.3 \% \) for 23 years. The balance in the account after 23 years is \( \$ \) (Round to the nearest cent as needed.)