Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3
Un ecuacion es y = 12 + x.
Answer:
Step-by-step explanation:
We can see two pairs with same x- or y- coordinates. It means this is a rectangle.
<u>It has sides:</u>
- 12 - 6 = 6 units and
- 3 - 1 = 2 units
<u>The area is:</u>
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
Answer:
The arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
Step-by-step explanation:
Since Oscar is trying to incorporate more exercise into his busy schedule, and he has several short exercise routines he can complete at home, and last week, he worked out for a total of 35 minutes by doing 2 arm routines and 1 abdominal routine while That this week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 55 minutes exercising, to determine how long does each routine last the following calculation must be performed:
2ARM + 1ABS = 35
4ARM + 1ABS = 55
4ARM + 1ABS - 2ARM - 1ABS = 55 - 35
2ARM = 20
ARM = 20/2
ARM = 10
2 x 10 + ABS = 35
ABS = 15
Therefore, the arm routine lasts 10 minutes, and the abs routine lasts 15 minutes.
