We can see that the lines intersect at (-5,3) on the graph, so that eliminates choices B and D. Both A and C say that the first line is y=x+8, which is true. A says that the second line is y+x=-2, and after isolating y, we get y=-x+2, which seems correct. Do the same for C, and you will find that it says the other equation is y=x-2, which is not true because it must have a negative slope. So your answer will be choice A.
C. 20° 30° and 50°
D. 20° 60° and 100°
The 3 interior angles of a triangle when added together need to equal 180 degrees.
The answer would be D. 20° 60° and 100° ( 20 + 60 + 100 = 180)
The question supplied is incomplete. The complete question is shown below:
The Gross national product (GNP) is the value of all the goods and services produced in an economy, plus the value of goods and services imported, less the goods and services exported. During the period of 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion. Assuming this rate continues, in what year with the GNP reach $10 billion?
Answer:
2006
Step-by-step explanation:
Every year, the new GNP will become (100 + 4.8)% of that of the previous year. That is 104.8%, and equivalent of 1.048.
Let P(y) be the GNP after a period of y years.
After y years, the equation for calculating A(y) becomes
A(y)=5.9*(1.048)^y
Since A(y) = 10
10=5.9*(1.048)^y
10/5.9 =(1.048)^y
1.695=(1.048)^y
ln(1.695) = ln(1.048)^y
ln(1.695) = y ln1.048
y=ln1.695/ln1.048
y=11.26 years
1994 + 12 = 2006
Canada’s GNP will reach $10 billion in the year 2006