Answer:
One solution: (6,0)
Step-by-step explanation:
4(6)+2(0)=24
6+0=6
Answer: p = 2
Step-by-step explanation:
To solve this problem, you first have to add 1 to each side of the equation, leaving you with 2p^2 = 8. Then you divide by 2 on both sides leaving you with p^2 = 4. After that, you take the square root of both sides, and because 4 is a perfect square, you get p = 2 as your final answer.
Answer:
3 1/3 hours
Step-by-step explanation:
In 2 hours, the first guy did 2/6 = 1/3 of the job. Meanwhile, the new guy did 2/8 = 1/4 of the job. When the first guy left, the remaining amount of the job was ...
1 - 1/3 - 1/4 = 12/12 -4/12 -3/12 = 5/12 . . . . . fraction of job remaining
So, completion of the remaining 5/12 of the job will take the new guy ...
(5/12)(8 hours) = 10/3 hours = 3 1/3 hours
You just need to equate the expressions to find the values for a,b and c. First, let's settle that 2^5/4=8, and 8 is 2^3. Also, an important tool here is the indicie rule:
1st expression: 2^5/4=8
2nd expression: It tells us that 2^5/2^a=2^3 (I know that this equals to 8 as all the expressions are equal therefore is the same as our first expression). Using the indicie law, this means that a=2
3rd expression: 2^b must equal to 8 as well, so b=3
4th expression: c=8 as all of the other expressions we have figured out equal to 8
So a=2, b=3 and c=8
Answer:
$ 8874.11 after 5 years
Step-by-step explanation:
Each year it is worth 85 % of its value
20 000 ( .85)^5 = 8874.11