Question 62592
Q1. Determine whether there are two consecutive odd integers such that 7 times the first exceeds 5 times the second by 54
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Let the two consecutive integers be: x, (x+2)
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Write an equation for the statement:
"7 times the first exceeds 5 times the second by 54
7x = 5(x+2) + 54
7x = 5x + 10 + 54
7x - 5x = 64
2x = 64
x = 32 which is an even integer, so the answer is "no"
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Q2. In 2002, 54.1 million tax returns were file electronically. From 2002 to 2009, the average annual increase in electronic filings is projected to be 6.8%. If this holds true, what will the number of electronic tax returns be for the next 5 years?
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A = Ao*(1+(%/100))^t
A = resulting amt
Ao = initial amt (54.1)
t = time in years 
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year 1: 
1.068*54.1 = 57.78 million
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Year 2:
A = 54.1*(1+.068)^2
A = 54.1*(1.068)^2
A = 54.1*1.1406
A = 61.7 million
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Year 3:
A = 54.1*(1.068)^3
A = 54.1*1.12818
A = 65.9 million
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Do year 4 and 5 the same way.
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Q3. If the area of a triangle kite is 18 square feet and its base is 4 feet, what is the height of the kite?
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you know the area of a triangle: Area = .5*base*height or: .5*b*h = A
.5*4*h = 18
2h = 18
h = 18/2
h = 9 ft
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Q4. The Cassini spacecraft mission to Saturn was launched October 15 1997. It will take more than 6 1/2 years to reach Saturn, arriving in July 2004. During it mission Cassini will travel a total distance of 2 billion miles in 80.5 months. What is the average speed of the spacecraft in miles per hour, if I convert 80.5 months to MPH using 1 month = 30 days and then using the formula of d=rt.
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r is the speed in mph; you want r = d/t; (time in hrs)
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{{{r = 2000000000/(80.5*30*24)}}} = {{{2000000000/57960}}} = 34,506.6 mph