If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a)

This may be a bit awkward to explain in writing, so please bear with me:)

You are given the equations. Begin by focusing on ad = 11.6. Treating variables normally, this reads as a times d = 11.6.
From that, d = 11.6/a by dividing both sides by a.

With d expressed, substitute (11.6/a) into cd = 6.7. Then isolate c by multiplying both sides by a/11.6, yielding c = (6.7a)/11.6.

Now that c is known, insert (6.7a)/11.6 for c in bc = 8.3. The algebra becomes a bit messy, but solving for b gives approximately 14.3705 / a. Since you need ab, multiply both sides by a, and rounding to one decimal place produces ab = 14.4

Solution:

30% of the workforce consists of managers.

Explanation:

Given that there are 80 employees, out of which 24 are managers, we need to determine what percentage this represents.

This percentage can be calculated using the formula below:

By plugging in the known values, we have:

Thus, 30% of the employees are managers.

112: (2) (2) (2) (2)        (7)
72: (2) (2) (2) 33
__________
GCF: (2) (2) (2)= 8

Is there additional information regarding the question?

To tackle this issue, follow the outlined procedure: 1. Designate variables: let’s say is the count of roses and represents the number of lilies. 2. Construct a system of equations based on the provided details in the problem statement above. 3. Utilize substitution method: first, resolve for in the second equation, substitute it into the first equation, then solve for . 4. Next, substitute back into the second equation. Consequently, the answer will be: roses and lilies.