2. Kurt le presta a Randy 17.000 dolares. Randy paga el prestamo pagandole a kurt \$ 10.000 al final di un año \( \$ 5000 \) al final de do años \( f \) al final de tres años. El dinero recibido en \( t=1 \) y en \( t=2 \) se reinvierte inmediatamente a una tasa de interes efectiva anval del \( 4 \% \) Encuentra la tasa de interes efectiva anual de Randy y el rendimiento anval de kurt.

Calculen aplicando la definición de logaritmo. \( \begin{array}{lll}\text { a. } \log _{3} 125=\frac{3}{2}=\log _{3} \frac{49}{4}=2-\log _{7}(4) & \text { e. } \log 0,000001- \\ \text { b. } \log _{3} \frac{1}{27}=\quad & \text { d. } \log _{2}(-8)= & \text { i. } \ln 1=\end{array} \)

In a game, two standard six-sided dice are thrown. One is painted red Each die is numbered from 1 to 6 . The red die is thrown first followe Three people, Jan, Joe and Jim play the game. If the total is more than 6 , Jan wins. If one of the dice is a 2 or a 3 then Joe wins. If the number on the red die is greater or equal to the number on a) Using any suitable method, show who has the best chance

The area of a square is \( 81 \mathrm{~cm}^{2} \). Find its perimeter

Research concerning the upbringing and childhood experiences of homosexuals has NOT supported theories. Select one: a. biological and cognitive b. behavioral and biological c. psychoanalytic and biological d. psychoanalytic and behavioral

(a) Find the coordinates of the points of intersection of the curve \( y=x^{3} \) and the line \( y=7 x+6 \). [5 Marks]