Answer:
Step-by-step explanation:
- (3/4)
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
P = $70, p = 2.5% = 0.025
q = 1 + 0.025 / 12 = 1.002
Future value of a periodic deposit:
A = P · q · ( q^30 - 1 ) / ( q - 1 )
A = 70 · 1.002 · ( 1.002^30 - 1 ) / ( 1.002 - 1 )
A = $2,166
Answer:
He will have $2.166 in 30 months.
A simple way to turn this into an equation is by replacing the words with letters:
1464B = 3/4 S
Then you have to remove the 3/4 from the right side of the equation. You can do this by dividing both sides by 3/4:
1464 / 3/4 = S
Then you have to do the sum:
1464
/ 3
= 0488
488
X 4
= 1952
There are 1952 students.
Answer:
a = 10.36m
B = 47.7º
C = 90º
Step-by-step explanation:
we know the angle of A so we do the sin of A; Spoiler: its 0.67
0.67 = a / 15.4
0.67 * 15.4 = a
a = 10.36
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B = 90 - 42.3 = 47.7º
