Answer:
Step-by-step explanation:
<u>Given:</u>
- Investment P = $20000
- Time t = 7 years
- Interest rate r = 5.5% = 0.055
a. <u>compounded semiannually, n = 2</u>
b. <u>compounded quarterly, n = 4</u>
c. <u>compounded monthly, n = 12</u>
d. <u>compounded continuously</u>
Answer:
angle x=40
Step-by-step explanation:
Angle CD on the bottom is a 180 angle. If you subtract it by 110 it's 70. The two bottom angles are equal so it also equals 70, add them and you get 140. Subtract 180 by 140 and it means x=40!
So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:
Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:
Now, we can get rid of the denominators, and we get:
So, x= 9
Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:
Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.
Hope this helps :)
Answer:
Option C
Step-by-step explanation:
we have
The compound inequality can be divided into two inequality
-----> inequality A
----> inequality B
Solve inequality A
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
Rewrite
The solution of the inequality A is the interval (-∞,-3]
Solve the inequality B
Divide by -3 both sides
when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
The solution of the inequality B is the interval [-6,∞)
The solution of the compound inequality is
[-6,∞) ∩ (-∞,-3]=(-6,-3]
X^2+2x-11=0, this would be the answer that you are looking for m8.