Actlvity 1: Simple Interest and future Value Solve the following problems. Write the given, what is asked in the problem, and show the solution. 1. Find the simple interest on a toan of Php 75000 if the loan is given at a rate.of \( 10 \% \) per year and is due in 3 years. 2. If. you deposit Php 5000 in a bank at an annual simple interest rate of \( 0.5 \% \) how much money will you have after 12 years?

(PC4.3) Q4.6. Describe the effect that the presence of gas or steam have on any three of (density changes, Viscosity variations, Pressure Fluctuations and Temperature Effects) on the liquid in flow measurement?

3. Two lines \( L_{1}: 2 y-3 x-6=0 \) and \( L_{2}: 3 y+x-20=0 \) intersect at point \( A \) a) Find the coordinates of \( A \) b) A third line \( L_{3} \) is perpendicular to \( L_{2} \) at point \( A_{0} \) Find the equation of \( L_{3} \) in the \( f \) ( 3 marks) orm \( y=m x \pm c \) where \( m \) and \( c \) are constants c) Another line \( L_{4} \) is parallel to \( L_{1} \) and passes through \( (-1,3) \). Find thex and \( y \) inte rcepts of \( L_{4} \) ( 4 marks)

Solve for \( x \) if \( \tan \left(5 x+11^{\circ}\right)=\cot (6 x+29) \)

3. Solve for the following rational equation. Show your complete solution. \( \frac{1}{x}+\frac{1}{x-8}=\frac{1}{3} \)

4. Aminah had 263 more beads than Betty. She gave Betty 84 beads. How many more beads did Aminah have than Betty in the end?