Describe what a ratio expresses.

The Turners have purchased a house for \( \$ 150,000 \). They made an initial down payment of \( 20 \% \) and secured a mortgage with interest charged at a rate of \( 3.5 \% / \) year on the unpaid balance. Assume that the loan is amortized over 30 years. (Round all answers to the nearest cent.) a) How much is the down payment? b) how much is borrowed from the bank? c) What monthly payment will the Turners be required to make? d) What will be their total price of the house? e) How much of the total amount is interest?

5. Evaluar los valores de \( f(3) \) en la función \( f(x)=3 x^{3}+4 x^{2}-8 \)

Si un avión viaja a una velocidad constante de 245 km urante 4 horas y 30 minutos, ¿cuántos kilómetros hal recorrido en total?

4. Obtener la variación promedio de la recta \( y=2 x+2 \) en el intervalo \( (-4,3) \)

Sabiendo que un conjunto de vectores viene dado por: \( \mathrm{V}=\{(5,2,1),(4,-3,8),(10,4,2),(14,1,10)\} \), entonces el número de vectores linealmente independientes del conjunto V es: Nota: Por favor, exprese su respuesta usando números arábigos.