Answer:The cost of capital that will make both investments equal is 17.045%
Explanation:
Investment A
$1.5 million will be received in perpetuity we can there use perpetuity formula to Value investment A.
Value of Investment A = 1500 000/r
Investment B
$1.2 Million will be received in Investment B with a growth rate of 3% will then use Gordon's growth rate model to value investment B.
Value of investment B = (1200 000 x (1+0.03))/(r - 0.03)
Value of investment B = 1236000/(r - 0.03)
1500 000/r = 1236000/(r - 0.03)
1236000(r) = 1500000(r - 0.03)
(r - 0.03) = 1236000( r)/1500000
r - 0.03 = 0.824r
r - 0.824r = 0.03 = 0.176r = 0.03
r = 0.03/0.176 = 0.170454545
R = 17.045%
The cost of capital that will make both investments to be equal is 17.045%
Let
x = minutes used for jogging
y = minutes used for handball
z = minutes used for cycling
Th total time spent is 1 hour (60 minutes), therefore
x + y + z = 60
Because Mike jogs as long as he cycles, therefore
x = z
Therefore
2x + y = 60
or
y = 60 - 2x (1)
Jogging consumes 10 calories/min, handball consumes 9 calories/min and cycling consumes 12 calories/min.
The calories consumed in 60 minutes is 580, therefore
10 x + 9y + 12z = 580
Because x = z,
22x + 9y = 580 (2)
Substitute (1) into (2).
22x + 9(60 - 2x) = 580
22x + 540 - 18x = 580
4x = 40
x = 10
y = 60 - 2x = 40
z = x = 10
Answer:
10 minutes of jogging
40 minutes of handball
10 minutes of cycling.
Answer:
The equilibrium price falls and quantity increases
Explanation:
When the supply of food rises without a corresponding increase in demand , there would be an excess supply.
When there's excess supply, prices fall and the quantity produced rises.
I hope my answer helps you
Answer:
A. 11 %
Explanation:
Given that TopCo owns 40% of Botco, in order to gain control botco, it must either directly or/and indirectly have more than 50% of botco voting stock. Meaning it must acquire more than 10% extra in order to gain control. Thus, if Midco that topco have 60% of is able to acquire 11% of Botco, then topco will be able to have 51% control over botco with 40% coming directly and 11% coming indirectly through it 60% control over Midco.
Answer:
The minimum annual synergy that Three Guys feels it will gain from the acquisition is $ 178,500
Explanation:
Value of synergy gain from acquisition = 18 - 15.9 = 2.1 million
Annual synergy gain = 2.1 *.085 = .1785 million or $ 178,500
Annual synergy gain = $ 178,500