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

3,750 deer

step-by-step explanation:

1,500 is 15 times larger than 100

lets make 250 15 times larger.

3750 deer

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it