Table 11. Estimated UK PCB sales for the period 1954-79 UK sales (t) of congener no. 28 1 500 52 1.600 1.500 101 138 153 180 780 1 200 390 ΣPCB 40 000

On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.

Find the mean hourly cost when the cell phone described above is used for 240 minutes.

2/ 9 80% 1) There are three different types of charges that AEP uses to determine the amount it will charge a household for electricity usage each month. The first type of charge is the "customer charge", which is a flat monthly rate (adjusted annually) that each household is charged. A second type of charge is the "transmission service" charge, which reflects how much it costs the electric company to move electricity from the power generating plants to the different substations (before being distributed to the households). A customer's fee for transmission service depends on the amount of electricity used by that individual household. The third type of charge is the "distribution service" charge, which reflects the cost to distribute the electricity from the local substation to the household. The distribution service charge is also based on the amount of electricity used by the individual household. Suppose that AEP charges a monthly fee of $8.40 to each household as its customer…

Figure 6(a) shows the time series of the annual suicide rate (per 100,000 inhabitants) in Australia, between 1915 and 2004. Figure 6(b) shows the first differences of the rate and Figure 6(c) shows the second differences. Suicide rato 1600- 14 00 10.00 8.00- 6.00- (a) 1915 1325 2.00- A EM 0.00- 2.00- (1920 1045 1955 Year 1965 MY way 1075 1985 4.00- 1995 -4.00- Figure 6(a), (b) & (c) (b) 1915 (929 1942 ·1960 Year Sist y 1385 1005 2.00- 0.00- 2.00- -4.00- (c) Ho 1915 1925 1938 ·1245 A9985 Year 1205 A 1975 A ·$353 easy Is the suicide rate stationary over the period? Identify the order of differencing d required to obtain stationarity in mean and in variance. Explain your answer.

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43) If $15,000 is placed into an account that earns 7.5% interest per year, find the total amount in the account after 10 years for the following compound methods. a. Yearly b. Quarterly P=15.000 10x3 15cdo (1+0.075) (16) 15000 (8.5) 127,500 c. Monthly = 12 15000 (146-15/12) d. Continuously 1 A P

A famous Chinese restaurant would like to find out the change in demand on its dim-sum. After checking its purchase records in 2020 and 2021, the restaurant collected the data as follows: 2020 2021 Items Price ($) Quantity Price ($) Quantity Shrimp Dumpling 10 60 12 69 Spring Roll 7 51 62 Chicken Feet 8 73 9 77 (a) Using 2020 as the base year, calculate the Laspeyres Price Index of 2021. (b) Using 2020 as the base year, calculate the Paasche Price Index of 2021. (c) Using the result in part (a) and (b), calculate the Fisher Price Index of 2021.

For the data given below, calculate the index number by taking (i) 1980 as the base year (ii) 1987 as the base year Price of Commodity 'X' Year Price of Соmmodity 'X" Year 1980 4 1985 10 1981 5 1986 9 1982 1987 10 1983 7 1988 11 1984 8

1 The profits of a Company for the last 8 years are given below. Calculate the Range and its Co-efficient : 1975 1976 1977 | 1978 | 1979 |1980 1981 1982 200 230 Year Profits (in'000 Rs.) 100 120 90 40 30 80