Answer:
Mr. Duke received <u>1.65%</u> percent of the agency's fee.
Step-by-step explanation:
Given:
Mr. Duke worked for a real-estate Agency.
He sold a house for $225,000. The agency’s fee for the sale was 3% of the sale price.
Mr. Duke received $3712.50 of the agency’s fee as his commission.
Now, to find the percent of the agency's fee Mr.Duke receive.
<em>Mr. Duke sold house = $225,000.</em>
<em>Mr.Duke received = $3712.50.</em>
So, to get the percent of agency's fee Mr. Duke receive:
Therefore, Mr. Duke received 1.65% percent of the agency's fee.
Answer:
x=18
Step-by-step explanation:
A triangle ALWAYS have overall angles of 180 degrees.
When we look at this triangle, it should come to familiarity that this is a 45 45 90 triangle. This is a special type of isosceles right triangle.
But without knowing this, we can still solve this problem.
Since the triangles' overall angle is 180 and we know 45 and 45 of the two other angles, let's subtract that together to find out the overall angle where we are trying to find x.
180-45-45=90
This means that the expression 4x+18 is equal to 90, since that's the leftover angle amount.
Let's solve that equation now.
4x+18=90 Let's get rid of the 18 by subtracting it on both sides.
-18 -18
4x=72 Isolate the x by dividing both by 4.
x=18
In this problem, x is equal to 18.
X = 100 X 100/250
Therefore, X = 40.
For this case we have to, by defining properties of powers and roots the following is fulfilled:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
We must rewrite the following expression:
![\sqrt [3] {8 ^ {\frac {1} {4} x}}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%7D)
Applying the property listed we have:
![\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}](https://tex.z-dn.net/?f=%5Csqrt%20%5B3%5D%20%7B8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%7D%20%3D%208%20%5E%20%7B%5Cfrac%7B%5Cfrac%20%7B1%7D%20%7B4%7D%20x%7D%20%7B3%7D%20%7D%3D%208%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B4%20%2A%203%7D%20x%7D%20%3D%208%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B12%7D%20x%7D)
Using the property again we have to:
![8 ^ {\frac {1} {12} x} = \sqrt [12] {8 ^ x}](https://tex.z-dn.net/?f=8%20%5E%20%7B%5Cfrac%20%7B1%7D%20%7B12%7D%20x%7D%20%3D%20%5Csqrt%20%5B12%5D%20%7B8%20%5E%20x%7D)
Thus, the correct option is option C
Answer:
Option C
Answer:
b
Step-by-step explanation:
