Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
Answer:
The answer is below
Step-by-step explanation:
Speed is the ratio of distance covered to the time taken. Speed is given by the formula:
speed = distance / time.
Let us assume the spider walking speed is x and its running speed is y.
If the spider walks for 10 seconds and runs for 9 seconds, she travels 85m. distance = speed * time, hence:
Total distance = distance covered walking + distance covered running
10x + 9y = 85 (1)
Also if she walks for 30 seconds and runs for 2 seconds, she travels 130m. Hence:
30x + 2y = 130 (2)
Solving equation 1 and 2 simultaneously by mutiplying equation 1 by 3 and subtracting equation 2 from the result:
25y = 125
y =5 m/s
Put y = 5 in eqn. 2
30x + 2(5) = 130
30x = 120
x = 4 m/s
The spider walks at 4 m/s and runs at 5 m/s
Answer:
0.003231
Step-by-step explanation:
Answer:
Expected return is 11.06%.
Step-by-step explanation:
Capital allocation between Optimal risky portfolio and risk free assets can be computed with following equation.
y = E(rp) - rf /A*θp^2
where,
E(rp) = Expected return of Portfolio
y = weight of risky portfolio
(1-y) = weight of risk free assets
rf = risk free rate
A = Coefficient of Risk Aversion
Фp= Standard deviation of risky portfolio
Putting the values,
y = {0.124-0.04}/{2.5*0.20^2}
by solving,
y = 0.84
Weight of risk free assets in complete portfolio = (1-y) = 1-0.84 = 0.16
Thus,
Expected return of complete portfolio:
E(r_c) = 0.124*0.84+0.04*0.16
E(r_c) = 11.06%
