How much greater is the sum of the first 100 triangular numbers than the sum of the first 99 triangular numbers? Answer: It is b
2 answers:
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Answer:
Step-by-step explanation:
We have given the equation y = 6 sin (x)
On differentiating both side
As it passes through the point
So
Now the unit vector is parallel to the tangent so m will be 5.196
This passes through the point
So unit vector will be
The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.
Given:
- Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
- The resulting mixture should be 50 pounds of candy
- The resulting mixture should cost $1.30 a pound
To find: The amount of candy costing $1.25 a pound that should be mixed
Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.
Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '' pounds of candy costing $1.45 a pound.
Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '' pounds of candy costing $1.45 a pound.
Accordingly, the total cost of the resulting mixture is
However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is
Equating the total cost of the resulting mixture obtained in two ways, we get,
This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.
Learn more about cost of mixtures here: