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

cosine

step-by-step explanation:

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500