An investment firm offers three types of equity investments, a, b, and c. of the firm's clients, 30% invest in a, 50% invest in b, and 20% invest in
c. the rates of return are 10%, 6%, and 7% for a, b, and c, respectively. what is the expected value of the total return rate for the firm's clients?
a. 6.2%
b. 7.1%
c. 7.4%
d.8.2%

Option c. 7.4%

Step-by-step explanation:

Let

x -----> the expected value of the total return rate for the firm's clients

we know that

The sum of the percentage rates of return multiplied by each percentage of the firm clients in decimal form must be equal to the expected percentage value of the total return rate

Convert the percentage of the firm clients in decimal form

Solve for x

54

step-by-step explanation:

6x9

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)