Answer:
Yes
Step-by-step explanation:
9/21 SIMPLIFIED= 3/7
6/14 SIMPLIFIED= 3/7
Answer:
Roses= $8.4
Daises= $15.6
Step-by-step explanation:
Let represent the daises and let r represent d roses
r + d= 24....equation 1
0.25r + 0.90d= 16.40.......equation 2
r= 25-d
Substitute 25-d for r in equation 2
0.25(25-d) + 0.90d= 16.40
6.25-0.25d+0.90d= 16.40
6.25+0.65d= 16.40
0.65d= 16.40-6.25
0.65d= 10.15
d= 10.15/0.65
d = 15.6
Sub 15.6 for d in equation 1
r+d= 24
r+15.6= 24
r= 24-15.6
= 8.4
Price of daises is $15.6
Roses is $8.4
Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
Answer:
Area of triangle formula:
A = b*h/2
B is 18 and h is 13
B is base and h is height.
18 * 13 is 234.
We must divide by two because just multiplying the two numbers would result in an area of a square, divide by 2 for a triangle.
234/2 =
117 km²
Answer:
14.656%
Step-by-step explanation:
Data provided in the question:
Rate of return, r = 4% = 0.04
Risk aversion of A = 1.85
Standard deviation, σ = 24%
Now,
we have the relation
A = (E - r) ÷ σ²
E = expected return on portfolio
r = Risk free rate
on substituting the respective values, we get
1.85 = (E - 0.04) ÷ (0.24)²
or
0.0576 × 1.85 = (E - 0.04)
or
0.10656 + 0.04 = E
or
E = 0.14656 or
E = 0.14656 × 100% = 14.656%
