Jeremiah invested $1,200 in a Certificate of Deposit, $3,500 in a corporate bond, $900 in a common stock, and $2,475 in a preferred stock, The COD has a rate of return of 2.1%; the corporate bond is -1.3%; the common stock's rate of return is 4.1%; and the preferred stock has a rate of return of 5.5%. What is the weighted mean, mean and median overall rate of return on Jeremiah's investment portfolio? (2 points)

Weighted Mean: 1.9%; Mean: 2.6%; Median: 3.1%

Weighted Mean: 1.9%; Mean: 3.3%; Median: 3.1%

Weighted Mean: 2.6%; Mean: 1.9%; Median; 2.1%

Weighted Mean: 2.6%; Mean 2.6%; Median: 2.1%

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)