Answer:
Step-by-step explanation:
x is the number of junior programmers.
Each junior programmers costs $48,000.
So, the cost of x junior programmers is
48,000x
y is the number of senior programmers
Each senior programmer costs $86,000
So the cost of y seniors programmers is
86,000y
The total cost for x junior programmers and y seniors programmers is
48,000x + 86,000y
To keep costs down, the total spending on these new positions must be under $1,200,000 annually.
So the inequality is:
Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in ,
- Putting 2 in ,
- Putting 3 in ,
- Putting 4 in ,
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
- denotes the nth partial sum
- is the first term (in our case it is 0)
- is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
- is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.
P(<100) = P((new or change) & <100) = P(new & <100) + P(change & <100)
... = P(<100 | new)*P(new) + P(<100 | change)*P(change)
... = 0.90*0.70 + 0.20*0.30
... = 0.63 + 0.06 = 0.69 . . . . probability of completing a transaction in < 100 ms
The range of the data is 12
Answer:
46
Step-by-step explanation:
Its adding 12 each time