Alex bought all the string needed for $125.
It costs $18 for the remaining materials to make each puppet.
So if we closely observe then we see that here $125 is the fixed cost because its not going to change with number of puppets.
And the variable cost is $18.
In this case we can model a Total cost function C(x) for for x number of puppets as below
![C(x)=125+18x\\ \\ \text{Here x is the number of puppets}\\ \\ \text{Since in our case the number of puppets is 50 so replace x by 50 we get }\\ \\ C(50)=125+18*50\\ \\ C(50)=125+900\\ \\ C(50)=1025 \ dollar.](https://tex.z-dn.net/?f=%20C%28x%29%3D125%2B18x%5C%5C%20%5C%5C%20%5Ctext%7BHere%20x%20is%20the%20number%20of%20puppets%7D%5C%5C%20%5C%5C%20%5Ctext%7BSince%20in%20our%20case%20the%20number%20of%20puppets%20is%2050%20so%20replace%20x%20by%2050%20we%20get%20%7D%5C%5C%20%5C%5C%20C%2850%29%3D125%2B18%2A50%5C%5C%20%5C%5C%20C%2850%29%3D125%2B900%5C%5C%20%5C%5C%20C%2850%29%3D1025%20%20%5C%20dollar.%20)
The total cost to make 50 puppets=$1025
Answer:
16100
Step-by-step explanation:
17500×0.92=16100
You start at the y axis and go down 7 so the coordinate is (0, 7) then you move to the right five spaces from (0, 7) and go up 4 from the spot you moved right 7. This should have a positive slope
Cost of fuel = 30% of $400 000 = 30/100 x 400000 = $120 000
Fuel amount = $120 000/$1.5 = 80 000 liters
new cost of fuel = 80000 x $1.6 = $144 000
increase in cost = 144000 - 120000 = $24000
So the increase in petrol price increases the operating cost by $24000
Answer:
![AC=8inches](https://tex.z-dn.net/?f=AC%3D8inches)
Step-by-step explanation:
It is given that triangle AOC intersects a circle with center O, side AO is 10 inches and the diameter of the circle is 12 inches, thus
OC is the radius of the circle and is equal to
.
Now, From ΔAOC, using the Pythagoras theorem, we get
![(OA)^{2}=(OC)^{2}+(AC)^{2}](https://tex.z-dn.net/?f=%28OA%29%5E%7B2%7D%3D%28OC%29%5E%7B2%7D%2B%28AC%29%5E%7B2%7D)
⇒![(10)^{2}=(6)^2+(AC)^2](https://tex.z-dn.net/?f=%2810%29%5E%7B2%7D%3D%286%29%5E2%2B%28AC%29%5E2)
⇒![100=36+(AC)^2](https://tex.z-dn.net/?f=100%3D36%2B%28AC%29%5E2)
⇒![64=(AC)^2](https://tex.z-dn.net/?f=64%3D%28AC%29%5E2)
⇒![AC=8inches](https://tex.z-dn.net/?f=AC%3D8inches)