1.(‐5)(8) 2.(4)(‐4) 3.(‐1)(‐9) 4.(5)(6) 5.(12)(‐2) 6.(‐15)(9) 7.(5)(‐6) 8.6(‐6) 9.(‐27)(14) 10.(‐32)(0) 11.(128)(‐3) 12.(‐54)(‐4
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The total cost includes the setup cost + per hour cost.
Let, x represents the time and y represents the total cost.
.... (1)
Let Y represent the cost for B's DJ service.
.... (2)
a. Graphing both the equations give the intersection point (solution) as (4,500)
It means for 4 hours, the total cost of both the DJ's is same at $500.
b. Substitution Method.
Plug y = 125x in equation (1)
Hence, the total cost for 4 hours in both the service is $500.
c. Addition method.
Multiply equation (2) by -1
.... Equation (3).
Add euation (1) and equation (3)
Solution: For x = 4, y = 500 ( same as the previous two methods)
For x = 2, equation (1)
For x = 2, equation (2)
Hence, for 2 hours, DJ B would be a better choice since it would charge $250.
For x = 6 hours, equation (1)
For x= 6, equation (2)
For 6 hours, DJ A would be better option since it charges $650 for 6 hours.
The formula for the surface area of a cylinder is:
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2
If we substitute in the measurements that we know, you get:
2</span><span>
(3.5) (14) + 2</span><span> (3.5)^2
If we simplify this expression, we get:
98</span><span> + 24.5</span><span>
If you simplify once more, you get
122.5</span><span> or </span><span>≈ 384.85
Therefore, the surface area is 122.5</span> or about 384.85<span>
</span>
2<span>π</span><span>r</span><span>h </span><span>+ </span><span>2</span><span>π</span><span>r^</span><span>2
If we substitute in the measurements that we know, you get:
2</span><span>
If we simplify this expression, we get:
98</span><span>
If you simplify once more, you get
122.5</span><span>
Therefore, the surface area is 122.5</span>
</span>