Answer:
110 labor and 1100 energy
Cost of 2,200 dollars
Explanation:
Q = L x E
Cost = 10 L + E
We use Excel solver tool to get this
A B C
1 Labor Energy
2 Quantity 110 1100
3 Cost 10 1
4 output 121,000 (B2 * C2)
5 cost 2,200 (B2*B3 + C2*C3)
we want to minimize B5 (cost)
changing the quantities (b2:c2)
with the constrain that output b4= 121,000
Answer:
-5.14 for sam
-18.01% for dave
Explanation:
We first calculate for Sam
R = 7.3%
We have 2% increase
= 9.3%
We calculate for present value of coupon and present value at maturity using the formula for present value in the attachment
To get C
1000 x 0.073/2
= 36.5
time= 3 years x 2 times payment = 6
Ytm = rate = 9.3%/2 = 0.0465
Putting values into the formula
36.5[1-(1+0.0465)^-6/0.0465]
= 36.5(1-0.7613/0.0465)
36.5(0.2385/0.0465)
= 36.5 x 5.129
Present value of coupon = 187.20
We solve for maturity
M = 1000
T = 6 months
R = 0.0465
1000/(1+0.0465)⁶
= 1000/1.3135
Present value = 761.32
We add up the value of present value at maturity and that at coupon
761.32 + 187.20
= $948.52
Change in % = 948.52/1000 - 1
= -0.05148
= -5.14 for sam
We calculate for Dave
He has 20 years and payment is two times yearly
= 20x2 = 40
36.5 [1-(1+0.0465)^-40/0.0465]
Present value = 36.5 x 18.014
= 657.511
At maturity,
Present value = 1000/(1+0.0465)⁴⁰
= 1000/6.1598
= 162.34
We add up these present values
= 657.511+162.34 = $819.851
Change = 819.851/1000 -1
= -0.1801
= -18.01%
Answer:
innovation
Explanation:
Technology is defined as human innovation in action that involves the generation of knowledge and processes to develop systems that solve problems and extend human capabilities.
To innovate is to make changes in something established, especially by introducing new methods, ideas, or products.
Answer:
D)
Explanation:
This is the case unless the registered representative contributes capital proportionate to his sharing percentage and receives written approval of the principal. This is because the MSRB clearly prohibits this, but if the registered representative opens a joint account with the customer (granted the customer approves), and shares in both the gains and losses of the account with a proportionate capital contribution, then both are entering into the same risk and are allowed to share in the gains and losses. This is as long as the principal provides written approval.