Answer:
The maximum annual variable cost he can have to reach his projection is $1,940
Step-by-step explanation:
Given;
Number of miles drive per year N = 10,000 miles
Total annual Fixed cost F = $3,460
cost per mile(rate) r = $0.54 or less
Total cost = fixed cost + variable cost
Total cost = cost per mile × number of miles
Total cost = r × N = $0.54 × 10,000 = $5,400
Let V represent the total variable cost per year;
F + V ≤ r × N
Substituting the values;
3,460 + V ≤ 5,400
V ≤ 5,400 - 3,460
V ≤ 1,940
The maximum annual variable cost he can have to reach his projection is $1,940
Vertex: <span><span>(0,0)</span><span>(0,0)</span></span>Focus: <span><span>(1,0)</span><span>(1,0)</span></span>Axis of Symmetry: <span><span>y=0</span><span>y=0</span></span>Directrix: <span>x=−<span>1</span></span>
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
and then grouping like terms next to each other:
(this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
The next one, after distributing the negative into the parenthesis:
and then grouping like terms next to each other (remember to move their signs with them!):
which simplifies to
Now for the last one:
and
which simplifies to
83 x 72 = 5,976. 82 x 73 = 5,986. The way to do this is to take the two biggest numbers and use them in the tens place. Then take the other numbers and put them in the ones space. Then switch the ones slot numbers around to get two different numbers over 5000.
