Pretty sure it’s 42.5 cm.
Answer:
A. the vertical intercept (often called the y-intercept)
B. the slope of the line
C. V(t) = 100t +2000
D. V(10) = 3000, the value in year 10
E. see attached
Step-by-step explanation:
<h3>a. </h3>
You are told that year 0 is the year that you made the investment. Then the value in year 0 represents <em>the value of the investment in the year you made the investment</em>. (It is sometimes called the "initial value.")
When the function is graphed, the value in year 0 will be the value on the graph at t=0. If t=0 is the vertical axis (as it usually is), then 2000 is the vertical intercept--the point where the line meets the vertical axis.
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<h3>b.</h3>
To find the difference between values in consecutive years, subtract one from the other:
2100 -2000 = 100 . . . . the change in value in consecutive years
On the graph, for each increment of 1 in the value of t, the value of the investment will increase by this amount. That means the slope of the graph (rise/run) is 100/1 = 100. The difference in value in consecutive years is the slope of the graph.
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<h3>c.</h3>
The equation of the line is ...
V(t) = (slope) × t + (vertical intercept)
V(t) = 100t +2000
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<h3>d.</h3>
V(10) = 100×10 +2000 = 1000 +2000
V(10) = 3000 . . . . . the value of the investment in year 10
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<h3>e.</h3>
see attached
4,2,0,-2,-4,-6,-8,-10 because you subtract 2 each time
yes you can
Step-by-step explanation:
D is a passing grade! ;)
First isolate y by adding x to both sides in y-x=3 and getting y=x+3
Step 1: substitute x+3 for y in 3y=x+6 to get 3(x+3)=x+6
Step 2: distribute 3x+9=x+6
Step 3: subtract like terms 2x=-3
Step 4: divide x=-3/2
substitute -3/2 for x in y=x+3 to get
y=-3/2+3
y=3/2
answer: y=3/2 x=-3/2