Before answering these questions, we need to write out both equations.
For Job 'A', his salary would be: 55,000 + 2,500n
This assumes 'n' equals the number of years Lenny spends at these companies.
For Job 'B', his salary would be: 62,000 + 2,000n
A.
So basically we need to find a number were:
55,000 + 2,500n = 62,000 + 2,000n
is true. So basically solve ^that^ equasion.
55,000 + 2,500n = 62,000 + 2,000n
simplify
500n = 7,000
devide
n = 14
Fourteen years is your answer.
B.
a. 55,000 + 2,500n
b. 62,000 + 2,000n
So in order to answer this question, you basically just have to replace 'n' with the number '20', and see which one's bigger.
a.
55,000 + 2,500(20)
55,000 + 50,000
105,000
b.
62,000 + 2,000(20)
62,000 + 40,000
102,000
105,000 > 102,000
So your answer is:
Lenny should go to company 'a' because 105,000 is greater than 102,000.
[[tip: If you want to wow, surprise, or confuse your teacher (depending on her actual intelligence) write something like, 'another reason Lenny should choose company 'a' is because it gives higher annual raises, which is better in long-term.' He/She may not get it though, lol, wrong class.]]
Anyway, I hope this helped! :D

From the diagram, we can see that the radius of the cone is 8cm and the height of the cone is 15cm. We then just plug these numbers into the formula and simplify:

The volume of the cone is approximately 1005.3096 cm^3. With 3 sig figs, this is 1010 cm^3.
The given phrase is
6 more than y .
And we have to put this in algebraic form .
For the phrase "more than", we use addition sign and for the phrase "less than", we use subtraction sign .
So for the given phrase " 6 more than y " , the required algebraic expression is

And that's the answer.
Answer:
Probabilities
Likely to happen (L) Unlikely to happen (U)
a. 4/5 5/8
b. 3/5 3/8
c. 4/5 4/7
d. 0.3 0.09
e. 5/6 and 4/5 2/3
Step-by-step explanation:
Probabilities in Percentages:
a. The probability of 4/5 = 80% and 5/8 = 62.5%
b. The probability of 3/8 = 37.5% and 3/5 = 60%
c. The probability of 4/5 = 80% and 4/7 = 57%
d. The probability of 0.3 = 30% and 0.09 = 9%
e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%
b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms. When this is done, the relative sizes become obvious, and then, comparisons can be made.