The number of foreign students enrolled in a certain college is approximated by the equation \( S=10 t+500 \), where \( t \) is the number of years since 1990 and \( S \) is the number of foreign students. Granh the equation for \( t=0.2 .6 .14 \).

Fred takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut he makes is 17 centimeters long and the width of the fabric is 8 centimeters. What is th fabric's length?

\( \left. \begin{array} { l } { \{ ( - 4 , - 2 ) , ( - 1 , - 1 ) , ( - 1,1 ) , ( 3,5 ) , ( 7,10 ) \} } \\ { \{ ( - 6,4 ) , ( - 3 , - 2 ) , ( 0,5 ) , ( 1 , - 2 ) , ( 2,3 ) \} } \\ { \{ ( - 8,3 ) , ( - 6,5 ) , ( - 4,2 ) , ( - 2,7 ) , ( - 1,4 ) \} } \\ { \{ ( 5,0 ) , ( 4,0 ) , ( 3,0 ) , ( 2,0 ) , ( 1,0 ) \} } \end{array} \right. \)

\( (x-4)(x+2=16 \)

Calculate the monthly mortgage payment. Round to the nearest cent. \[ \$ 170,000 \text { is financed for } 30 \text { years at } 5 \% \text { APR } \]

Actividad 4: Resuelva las ecuaciones lineales y escriba su conjunto solución. Indique si es una identidad, una contradicción o una ecuación condicional. \( \begin{array}{ll}\text { a) }(x+1)^{2}-(x-1)^{2}=6(x-3) & \text { b) } 4-\left(\frac{2}{3} x+2\right)=2\left(-\frac{1}{3} x+1\right) \\ \text { c) } 7(18-y)=6(3-5 y)-(7 y+21) & \text { d) } 6(y-1)=-3(-2-y)+3 y \\ \text { e) } 3-\frac{m}{2}-1-\frac{m}{3}=7-m+\frac{m}{2} & \text { f) }-\{2-[3-(z-2 z)]+4\}=4-5 z \\ \text { g) } 0,6(z+5)-0,5(z+2)=-0,1(z-0,2) & \end{array} \)