The value after 2 years is
... v(2) = 32,500·0.92² ≈ 27508
The value after 3 years is
... v(3) = 32,500·0.92³ ≈ 25307.36
The difference in value is 27508.00 - 25307.36 = 2200.64
The truck is worth about $2,201 more after 2 years than after 3 years.
Answer:
polygon y is circumscribed about polygon x. i think
Step-by-step explanation:
Answer:
72
Step-by-step explanation:
<1 and <2 are not equal to each other
Let the angle directly above angle 2 (on the right side of the line) be angle 3
<1 and <3 are corresponding angle, which means they are equal
<2 and <3 are supplementary angles since the form a line
<2 + <3 = 180
We know <1 = <3
<1 + <3 = 180
We are given <1 = 2x+12 and <2 = 3x+18
2x+12 + 3x+18 = 180
Combine like terms
5x+30 = 180
Subtract 30 from each side
5x+30-30 = 180-30
5x= 150
Divide each side by 5
5x/5 = 150/5
x=30
<1 = 2x+12
Substitute 30 in for x to find angle 1
= 2*30 +12
=60+12
= 72
Answer:
two bottles with 3 oz left over
Step-by-step explanation:
6 tsp is 1/8 cup. 6*5 is 30 so you will need 5/8 cups. in other words 1/2 cup plus another 1/8 cup. 1/2 cup is 4 oz and 1/8 cup is 1 oz. so 5 oz. If one bottle is 4 oz you will need to bottles for the 5 oz meaning you will use one bottle of vanilla with 3 0z of a second one to spare
Answer:
28.) c.
29.) a and c.
30.) a.
y=3x/5 +18/5
b.
(-6, 0)
31.) y=x-4
Step-by-step explanation:
28.)
pounds is equal to the y value of a graph, while months is equal to the x value of the graph. slope is equal to y/x. Therefore, it is the slope.
29.) rearrange the equation to isolate the y value and then divide every equation by 2. you will then get y=4x+8. When you plug each of the points in, you will notice only a and c are true.
30.) a.
The line equation is: y=mx+b. First find the slope. You can do that with subtracting y values over dividing x values. You should get: 3-6/-1-4=3/5.
With this slope, plug in one of the points for the x and y values, and solve for b. I used the point (-1, 3) and got b=18/5
b.
For this, I found that 0= 3(-6)/5+18/5
31.) Find the slope by subtracting the y values over subtracting the x values. This should give you a slope of 1. After you find the slope, plug in your slope as m in the line equation: y=mx+b. Next, find a point in that plot and plug those in to find the y intercept (b). I chose (-2, -6) and (2, -2) and got a slope of -4. However, you can also see that when x=0, y=-4, so that could also be a nice shortcut.
Hope this helps!