b) Para una biblioteca infantil se dispone de \( \$ 150.000 \) que alcanzan para comprar 120 libros de cuentos. Si se recibe una donación de \( \$ 375.000 \), ¿cuántos libros más, del mismo tipo, se pueden comprar? Respuesta: Se pueden comprar \( \square \) libros más.

Eo mr (1) Droblema 5. ¿Cuál es la velooidad tangenoial de un diseo LP en su perímetro? El diámetro del disco es de 12 pulgadas y su frequencia es de 33.3 rom.

3. Let \( X \) and \( Y \) denote two sets. If \( X \subset Y \) simplify each of the following as far as possible and where necessary, show the results in a Venn diagram. \( \begin{array}{lllll}\text { (a) } X \cap Y & \text { (b) } X \cup Y & \text { (c) } X^{\prime} \cap Y^{\prime} & \text { (d) } X \cap Y^{\prime} & \text { (d) } X^{\prime} \cup Y^{\prime}\end{array} \)

1. Loans Between Banks. Jack is deciding to borrow money from a bank to start her small business and to pay her son's tuition fee. Php 100,000 is the ideal amount to be borrowed. BDO offers simple interest rate of \( 5 \% \) for 5 months while China Bank offers simple interest rate of \( 4 \% \) for 7 months. a. Find the interest and maturity value from BDO. b. Find the interest and maturity value from China Bank. c. Which is the better offer for Pia? 2. Bank Loan. Ace earned Php 10,000 interest in 55 days from a short-term investment that paid \( 7.5 \% \) interest per year. Find the amount initially invested. 3. Investing in Bonds. Tin invested Php 5,000 in an Ex-mutual fund containing bonds. Find the rate if she earned Php 375.50 in interest in 300 days. 4. Home Construction. King needs to borrow Php 500,000 for 1 year for materials needed to build her house. She can borrow from either of two banks. Interest charges from BDO would amount to Php 35,000, whereas interest charges from BPI would amount to Php 25,000 . Find the interest rates associated with a loan from (a) BDO and (b) BPI. 5. Interest Rate. Saida must pay the bank Php 25,250 in interest 2500 days after making a loan of Php 75,000 to purchase hot air balloons. Determine the interest rate.

ITEM 1 - calcule el número de oxidación de cada elemento en las ecuaciones químicas y luego responda en "Responde \( a c a \) " con la semirreacción y agente correspondiente. \( \begin{array}{lll}\text { a. } \mathrm{Zn}+\mathrm{Cu}\left(\mathrm{SO}_{4}\right)_{2} \rightarrow \mathrm{Zn}\left(\mathrm{SO}_{4}\right)_{2}+\mathrm{Cu} & \text { b. } \mathrm{Mg}+2 \mathrm{HCl} \rightarrow \mathrm{MgCl}_{2}+\mathrm{H}_{2} & \text { c. } \mathrm{CH}_{4}+2 \mathrm{O}_{2} \rightarrow \mathrm{CO}_{2}+2 \mathrm{H}_{2} \mathrm{O}\end{array} \)

d) \( \left(99^{\circ} 16^{\prime} 43^{\prime \prime}+15^{\circ} 20^{\prime} 32^{\prime \prime}\right) \cdot 2= \) e) \( \left(167^{\circ} 20^{\circ} 20^{\prime \prime}-67^{\circ} 5^{\prime} 15^{\prime \prime}\right): 5= \)