Answer:
The rectangle is 8 ft by 6 ft.
Step-by-step explanation:
Let x = length and y = width
Then, 2x+2y = 28 and xy = 48
Since 2x+2y = 28, y = 14 - x
So, x(14 - x) = 48
x2 - 14x + 48 = 0
(x-8)(x-6) = 0
x = 8 or x = 6
Hope this helps!
Answer:
Step-by-step explanation:
Money market 20%
Short-term bond 15%
Intermediate-term bond 11%
Long-term bond 5%
High-risk stock 18%
Moderate-risk stock 24%
Balanced fund 7%
a) Here, it can be seen that the probability that the selected individual owns shares in the balanced fund is 0.07
b)
Short-term bond 15%
Intermediate-term bond 11%
Long-term bond 5%
Total 31%
So it can be observed that the probability that the individual owns shares in a bond fund is 0.31
c)
High-risk stock 18%
Moderate-risk stock 24%
Total 42%
So it is observable that the probability of an individual having a shares in a stock fund is 42%. However, if we need to find probability that an indiividual does not own shares in a stock fund: 1 - 0.42 = 0.58
Gloria is neglecting the concept of portfolio diversification. Gloria's method suggests to only invest in Blue Chip companies, which are companies which have been long established and ensured. Gloria also suggests putting all of her friend's money directly in the stock market without looking into the other financial instruments like bonds, mutual funds and variable universal life insurance.
Answer:
Your input -2.9,-5.0,-7.1,-9.2,-11.3,-13.4,-15.5,-17.6 appears to be an arithmetic sequence
Step-by-step explanation:
Since x is the length, then x+7 has to be the width.
The area of a rectangle can be found via the formula :
A = length * width
So if we replace the area with the given number (170) and the length, and width, with what we assumed, we get..
170 = x * (x+7)
[which is.. ]
170 = x^2 +7x
0 = x^2 +7x - 170
And that is the answer.