Apharmacy wishes to mix a solution that is 5 minoxidil. she has on hand 60ml of a 4% solution and wishes to add some 7% solution to obtain the desired 5% solution. how much 7% solution should she add

30 ml  of 7% solution should be added.

Step-by-step explanation:

Given:

A solution of 5% minoxidil. On hand is 60ml of a 4% solution and wishes to add some 7% solution to obtain the desired 5% solution.

Now, to get how much 7% solution should be added.

So, we put formula to express concentration as amount of volume of solution:

c = concentration, n = substance.

Thus, the amount of substance is:

Now, in this the total amount of minoxidil is the same before and after mixing as given in question.

So, we can set the equation where V is the volume of the 7% solution:

⇒

Getting the variables one side and the numbers other side we get:

⇒

⇒

Dividing both sides by 2 we get:

⇒

Volume of the solution = 30 ml

Therefore, 30 ml of 7% solution should be added.

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%