SOLUTION: Q1. Determine whether there are two consecutive odd integers such that 7 times the first exceeds 5 times the second by 54 Q2. In 2002, 54.1 million tax returns were file elect

Question 62592: Q1. Determine whether there are two consecutive odd integers such that 7 times the first exceeds 5 times the second by 54
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?
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?
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.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Q1. Determine whether there are two consecutive odd integers such that 7 times the first exceeds 5 times the second by 54
:
Let the two consecutive integers be: x, (x+2)
:
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"
:
:
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?
:
A = Ao*(1+(%/100))^t
A = resulting amt
Ao = initial amt (54.1)
t = time in years
:
year 1:
1.068*54.1 = 57.78 million
:
Year 2:
A = 54.1*(1+.068)^2
A = 54.1*(1.068)^2
A = 54.1*1.1406
A = 61.7 million
:
Year 3:
A = 54.1*(1.068)^3
A = 54.1*1.12818
A = 65.9 million
:
Do year 4 and 5 the same way.
:
:
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?
:
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
:
:
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.
:
r is the speed in mph; you want r = d/t; (time in hrs)
:
= = 34,506.6 mph

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