QUESTIONS Oil production in Italy increased from 2.6 million tonnes in the year 1986 to 5.2 million tonnes in 1996, that is, production doubled in 10 y. Assuming exponential growth, determine (using Rule of 70) approximately the growth constant for Italian oil production Answer in units of yr and round to two decimal places. Hints: First estimate the percent growth rate using Rule of 70 T, 70/R. Then use the relation kR/100 to estimate the growth constant given the small percent growth rate QUESTION 6 Imagine that a savings account was established at the time of Christ, 2,007 years ago, with a deposit equivalent to 1d. Assume interest compounded annually at 4.4% Calculate the present value of the savings account Answer in units of sand round to two decimal places Hints 1. We can use the investment growth equation N-NC, with No - 50.01, C-HR/100, and the givetYou will be red by your finde 2. The scene notion of large numbers such as 24x10 beshackboard 2.4E12 Click Save and submit to see a bit. Click Sa Al Ansicer to steallas MacBook Air ER A # 3 $ 4 * % 5 6 & 7 8 9 0 E E R T Y U 0 QUESTION 7 From 1990 to 1,995, the growth in coal production in China was approximately exponential. The 1990 production was equivalent to 554 million tonnes of oil, and the 1,995 production was equivalent to 688 million tonnes of oil. (The unit, million tonnes of oil equivalent, is often used to quantify production or consumption of energy sources other than oil.) Determine the exact average annual growth rate. Round answer to one decimal place. Hints 1. Identify No, N, and in the problem and solve for k from N- 2. Then use the relation k-In(1+R/100) to determine R QUESTION 8 Chinese coal resources were approximately 17,802 quads at the end of 1996. It is known that the Chinese annual production of coal in 1996 was equivalent to 681 million tonnes of oil Determine the lifetime of coal resources in China if production remains constant at the 1996 rate. Answer in units of years and round to the nearest Integer 1. First convert the annual products from million tons of to a Nore one of oil -410 BTU and quad 10 BTU 2. For constant production, simply divide the colources by the production in 1996 in the units of quady Chick Save and Submit and Chick Save All Allan MacBook Air so A # 3 $ 4 % 5 & 7 6 8 9 0 E R T Y U 0 D F G . estion Completion Status: 1. Identify No. N, and in the problem and solve for k from N=100". 2. Then use the relation k-In(1+R/100) to determine R. QUESTION 8 Chinese coal resources were approximately 17,802 quads at the end of 1996. It is known that the Chinese annual production of coal in 1996 was equivalent to 681 million tonnes of oil. Determine the lifetime of coal resources in China if production remains constant at the 1996 rate. Answer in units of years and round to the nearest integer. Hints: 1. First convert the annual production from million tonnes of oil to quads. Note 1 tonne of oil - 4X10 BTU and I quad - 10 BTU. 2. For constant production, simply divide the coal resources by the annual production in 1996 in the units of quadslys QUESTION 9 Chinese coal resources were approximately 17.366 quads at the end of 1996. It is known that the Chinese annual production of coal in 1996 was equivalent to 681 million tonnes of oil. Determine the lifetime of coal resources in China if production continues to increase exponentially at a growth constant of 0.035 yr! Answer in units of years and round to the nearest integer Hints 1. First convert the annual production from million tonnes of oil to quads. Note tonne of 4 10 BTU and I quad-10 BTU Click Save and Subant to save and subunit. Click Save All An to see all answers MacBook Air COO OOD F4 $ 4 % 5 & 7 6 8 9 0 QUESTIONS Oil production in Italy increased from 2.6 million tonnes in the year 1986 to 5.2 million tonnes in 1996, that is, production doubled in 10 y. Assuming exponential growth, determine (using Rule of 70) approximately the growth constant for Italian oil production Answer in units of yr and round to two decimal places. Hints: First estimate the percent growth rate using Rule of 70 T, 70/R. Then use the relation kR/100 to estimate the growth constant given the small percent growth rate QUESTION 6 Imagine that a savings account was established at the time of Christ, 2,007 years ago, with a deposit equivalent to 1d. Assume interest compounded annually at 4.4% Calculate the present value of the savings account Answer in units of sand round to two decimal places Hints 1. We can use the investment growth equation N-NC, with No - 50.01, C-HR/100, and the givetYou will be red by your finde 2. The scene notion of large numbers such as 24x10 beshackboard 2.4E12 Click Save and submit to see a bit. Click Sa Al Ansicer to steallas MacBook Air ER A # 3 $ 4 * % 5 6 & 7 8 9 0 E E R T Y U 0 QUESTION 7 From 1990 to 1,995, the growth in coal production in China was approximately exponential. The 1990 production was equivalent to 554 million tonnes of oil, and the 1,995 production was equivalent to 688 million tonnes of oil. (The unit, million tonnes of oil equivalent, is often used to quantify production or consumption of energy sources other than oil.) Determine the exact average annual growth rate. Round answer to one decimal place. Hints 1. Identify No, N, and in the problem and solve for k from N- 2. Then use the relation k-In(1+R/100) to determine R QUESTION 8 Chinese coal resources were approximately 17,802 quads at the end of 1996. It is known that the Chinese annual production of coal in 1996 was equivalent to 681 million tonnes of oil Determine the lifetime of coal resources in China if production remains constant at the 1996 rate. Answer in units of years and round to the nearest Integer 1. First convert the annual products from million tons of to a Nore one of oil -410 BTU and quad 10 BTU 2. For constant production, simply divide the colources by the production in 1996 in the units of quady Chick Save and Submit and Chick Save All Allan MacBook Air so A # 3 $ 4 % 5 & 7 6 8 9 0 E R T Y U 0 D F G . estion Completion Status: 1. Identify No. N, and in the problem and solve for k from N=100". 2. Then use the relation k-In(1+R/100) to determine R. QUESTION 8 Chinese coal resources were approximately 17,802 quads at the end of 1996. It is known that the Chinese annual production of coal in 1996 was equivalent to 681 million tonnes of oil. Determine the lifetime of coal resources in China if production remains constant at the 1996 rate. Answer in units of years and round to the nearest integer. Hints: 1. First convert the annual production from million tonnes of oil to quads. Note 1 tonne of oil - 4X10 BTU and I quad - 10 BTU. 2. For constant production, simply divide the coal resources by the annual production in 1996 in the units of quadslys QUESTION 9 Chinese coal resources were approximately 17.366 quads at the end of 1996. It is known that the Chinese annual production of coal in 1996 was equivalent to 681 million tonnes of oil. Determine the lifetime of coal resources in China if production continues to increase exponentially at a growth constant of 0.035 yr! Answer in units of years and round to the nearest integer Hints 1. First convert the annual production from million tonnes of oil to quads. Note tonne of 4 10 BTU and I quad-10 BTU Click Save and Subant to save and subunit. Click Save All An to see all answers MacBook Air COO OOD F4 $ 4 % 5 & 7 6 8 9 0