Sally plans to plant 2 tree seedlings in a yard. She wants to buy bark mulch to
ID: 3198216 • Letter: S
Question
Sally plans to plant 2 tree seedlings in a yard. She wants to buy bark mulch to place in a circle with a 48?-inch diameter around the base of each tree. She has been told to lay the mulch 3 inches deep. The mulch is sold in bags containing 2 cubic feet for ?$4.49 Tax is 6.5?%. Use this information to answer parts a through c below.
?a) How many cubic feet of mulch does Sally need for the? project?For 2 ?trees, Sally needs nothing cubic feet of mulch.
?(Type an integer or a decimal. Round to the nearest tenth as? needed.)
?b) What is the total charge Sally will have to pay to complete her mulch? project? Sally will pay ?$___ to complete her project.
?(Round to the nearest cent as? needed.)
?c) A local nursery is selling a scoop of mulch for $17 and charges ?$16 to deliver. Note that the fee to deliver is not taxed. What is the total charge Sally will have to pay if she chooses to purchase the mulch at the nursery? instead? (Hint: 1 scoopalmost equals?six and a half 2 cu. ft.? bags.)
Sally will pay a total of ?$____ if she chooses to purchase mulch at the nursery.
2) Which country has the highest rate of natural gas consumption per? person? What is the? rate?
Natural Gas Consumtion as of DecemberNatural Gas Consumtion as of December
PopulationPopulation
Natura l GasNatural Gas
Consumption left parenthesis in cu m right parenthesisConsumption (in cu m)
Country 1
288288
593.4593.4
Country 2
182182
383.7383.7
Country 3Country 3
111111
185.4185.4
?
Country 3
Country 1
Country 2
has the highest rate of natural gas consumption of nothing cu m per person.
?(Round to the nearest tenth as? needed.)
The table shows the? inflation-adjusted annual income per person in 1990 and 2011 for each listed country. Which country had the largest relative increase in annual income per person from 1990 to? 2011? What was the largest relative? increase?
1990
2011
Country A
?$32 comma 13132,131
?$41 comma 61741,617
Country B
?$24 comma 61224,612
?$30 comma 62430,624
Country C
?$1 comma 9661,966
?$7 comma 4307,430
Country D
?$755755
?$1 comma 1791,179
Country
?
C
A
B
D
had the largest relative increase in annual income per person from 1990 to 2011. It was about
2) Which country has the highest rate of natural gas consumption per? person? What is the? rate?
Natural Gas Consumtion as of DecemberNatural Gas Consumtion as of December
PopulationPopulation
Natura l GasNatural Gas
Consumption left parenthesis in cu m right parenthesisConsumption (in cu m)
Country 1
288288
million593.4593.4
billionCountry 2
182182
million383.7383.7
billionCountry 3Country 3
111111
million185.4185.4
billionExplanation / Answer
2. Rate of natural gas:
country1 = 59345934 x 109 / 288288 x 106 = 205856.4144 (Highest)
country2 = 383.7383.7 x 109 / 182182 x 106 = 210634.6236
country3 = 185.4185.4 x 109 / 111111 x 106 = 166876.8528
3. Relative increase = Absolute increase / Old value
Relative increase of country A = (41,61741,617 - 32,13132,131) / 32,13132,131 = 948609486/3213132,131
= 0.2952
Relative increase of country B = 3062430,624 - 2461224,612 / 2461224,612 = 601206012 / 2461224612 = 0.2442
Relative increase of country C = 74307,430 - 19661,966 / 19661,966 = 54645464 /19661,966 = 2.7792 Highest
Relative increase of country D =11791179 - 755755 / 755755 = 11035424 / 755755 = 14.6018 highest
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