The annual salary of Mrs. Fredrick is $ 39397.2
<u>Solution:</u>
Given, Mrs. Frederick is paid semimonthly.
Her semi-monthly salary is $1.641.55.
Now, let us find her monthly salary first.
<em>monthly salary = 2 x semi – monthly salary </em>
So, monthly salary = 2 x 1,641.55 = $ 3283.1
Since there 12 months in a year, we obtain the annual salary as follows:
Now, the<em> annual salary = 12 x monthly salary </em>
Annual salary = 12 x 3283.1 = $ 39397.2
Hence, the annual salary of Mrs. Fredrick is $ 39397.2
Answer:
6-n
Step-by-step explanation:
Just put that down for your answer
-5 ≤ 3m + 1 < 4
- 1 - 1 - 1
-6 ≤ 3m < 3
3 3 3
-2 ≤ m < 1
Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)
The answer is A.
The new square has length: 10 + l, where l is the original length of the square, and it's area is (10 + l)^2;
So, we solve the equation: 3 x l^2 = (10 + l)^2;
Then, 3 x l^2 = 100 + 20 x l + l^2;
Finally, 2xl^2 - 20xl - 100 = 0; / ÷2;
l^2 - 10l - 50 = 0 (we use the quadratic equation formula);
The only positive solution is l = 5(1+ \sqrt{3} );
If you plug in the second equation (x=5-3/2y) into the first, you get:
5(5-3/2y) - 4y = 7
Simplify:
25 - 15/2y - 4y = 7
-15/2 y - 8/2 y = 7-25
23/2 y = 18
y = 18 * 2/23 = 36/23
answer B!
