Answer:
$6,376.59
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r/n)^nt
A = 6000(1+0.056/(1/3))^(0.056)(7)
A = 6000(1+0.056(3))^0.392
A = 6000(1+0.168)^0.392
A = 6000(1.168)^0.392
A = 6000(1.06277)
A = $6,376.59
Hence the balance in his account after 7 years is $6,376.59
Answer: No, it is not the bisector of angle ACB
Angle ABC has the vertex at point B. The middle point determines the vertex. This is why angle ABC is the exact same as angle CBA. Each time, B is in the middle.
However, angle ACB has point C in the middle so we're talking about a completely different angle. This is not a bisector because the line doesn't even go through point C at all. The line would need to curve, but bisectors must be straight lines.
Answer: if you simplify this it becomes 30=28 but this is a false statement so you would say 30≠28
Step-by-step explanation:
≠ means not equal
Answer:
Step-by-step explanation:
Let the area of the rectangle be Length × width
LW = 8000
If the diagonal is 10feer greater than one of its length then:
D = 10+L
Diagonal is represented using the Pythagoras theorem as shown:
D² = L²+W²
(10+L)²= L²+W²
100+20L +L² = L²+W²
From LW = 8000
W = 8000/L
100 + 20L = (8000/L)²
100 +20L = 64,000,000/L²
Cross multiply
100L² + 20L³ = 64,000,000
2L³+10L² = 6,400,000
L³+5L² = 3200000
L³+5L² -3200000 = 0
Knowing that slope-intercept form is y=mx+b. mx being the slope and b being the y-intercept.
First, you will first find the slope, which is (y2-y1)/(x2-x1):
5-(-1) / 1-(-1) = Which becomes 6/2.
6/2 = 3. So the slope is 3x
Now when you plot the dots on a graph with a slope of 3 (basically 3/1 knowing that slope is rise over run) you will see that the point that intercepts on the y-axis is 2. So your y-intercept, or b in this equation, is 2.
I believe the slope-intercept form: y=3x+2
