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ArbitrLikvidat [17]
3 years ago
15

Catherine earns a yearly salary of $75,000. Lola earns a yearly salary of $80,000. Catherine will receive a salary increase of $

4,800 per year, and Lola will receive a salary increase of $3,900 per year.
Which equation can be used to find n, the number of years it will take Catherine to earn the same salary as Lola?

A - 75,000 + 4,800n = 80,000 + 3,900n
B - 75,000n + 4,800 = 80,000 + 3,900n
C - 75,000n + 4,800n = 80,000n + 3,900n
D - 75,000n + 4,800 = 80,000n + 3,900
Mathematics
1 answer:
bixtya [17]3 years ago
6 0

Answer:

A-  75,000+4,800n=80,000+3,900n

Step-by-step explanation:

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Answer:

5in x 10in

Step-by-step explanation:

Solution:

1.  You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.  

 

2.  For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

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3.  Now, we will set up and solve our geometric probability equation.  The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

 

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4 .  Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5.  However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

 

5. As a result, the dimensions of the rectangles are 5in x 10in.  

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