Answer:
(
7
n+
3
) (
n
+
7
)
Step-by-step explanation:
factor by grouping
The inequality would be
0.75q ≥ 0.70(q+1)
q is defined as the number of questions he answers after the first one. We are told he gets 75% of those correct; 75%=75/100=0.75. This gives us 0.75q.
Since he gains proficiency on the exercises, the total number he gets correct has to be at least 70%. This means the inequality would have the symbol greater than or equal to, as it cannot be less and have him gain proficiency.
He has already answered 1 question and answers q more; this gives us a total of q+1. Since he gains proficiency, the cutoff was 70%; 70%=70/100=0.70. This gives us the expression 0.70(q+1).
Our total inequality would then be 0.75q ≥ 0.70(q+1)
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
The answer would be (3,-1) because it is reflected
