Hi, can I have some help with these math questions please?

10. If sin (0) = and 0 is an acute angle, find the exact values of cos (20) and sin (40)\f13. Which is larger after 5 years: an investment of $1000 earning 5% per year compounded monthly or an invest of $1100 earning 4% per year compounded continuously? Which is larger after 10 years? Justify your answers.14. The parabola y = f (x) has vertex at (1, -2) and passes through the point (3,4). Find its equation in standard form.15. A manager at a clothing store wants to estimate the number of customers to expect on the last shopping day before Christmas. She collects data from three previous years, and determines the crowds follow the same general pattern. When the store opens at 10am, 500 people enter, and the number in the store doubles every 40 minutes. When the number of people in the store reaches 10,000, security guards need to be stationed at the entrances to control crowds. At what time should the guards be commissioned?16. According to the College Board, the average cost of tuition [including fees), at private four-year nonprot colleges rose from $30,094 in 213 to $33,84 in 2l. What will the average cost of tuition he in 2020 assuming: a. Linear growth? 3' 5 l}. Exponential growth