6. You invest P 5 000 today at an interest rate of 10% for four years, how much would be the future value of the investment? а. Р3 415 b. P 7 000 c. P6 500 d. P 7 320 7. You are an incoming college freshman taking-up a four-year course. Suppose that you want to purchase a car immediately after graduating which will cost you P 75O 000. How much should you invest at the end of every year in an investment fund that earns 9% annually to have enough to buy the car upon graduation? a. P 164 000 b. P 531 300 c. P 607 445 d. P 132 828

"The table below is data on telephone usage time by operators to serve customer requests that will be used to explain the use of Xbar and R-chart".   Question: a.    Create UCL and LCL with Limit Control Factor A2b.    Create UCL and LCL with Limit Control Factor D3 and D4

Can you assist me with Question 4.48 I've made attempts to solve but still don't understand. Can you please write the process out step by step? It's easier to follow along. Thank you kindly.

QUESTION 2 In an effort to reduce energy costs, a major university has installed more efficient lights as well as automatic sensors that turn the lights off when no movement is present in a room. Historically, the cost of lighting an average classroom for 1 week has been $265. To determine whether the changes have signficantly reduced costs, the university takes a sample of 50 classrooms. They find that the average cost for 1 week is $247 with a standard deviation of $60. When testing the hypothesis (at the 5% level of significance) that the average energy use has decreased from the past, what is the test statistic? (please round your answer to 2 decimal places)