Answer:
the size of the mortgage with these terms is $149,138.24
Explanation:
The computation of the size of the mortgage is shown below:
Present value of annuity is
= Monthly payment × {[1 - (1 + rate of interest)^-number of months] ÷ rate of interest}
= $1,200 × {[1 - (1 + 0.0075)^-360] ÷ 0.0075}
= $1,200 × 124.2819
= $149,138.24
The 360 is come from
= 30 years × 12 months
= 360 months
hence, the size of the mortgage with these terms is $149,138.24
Answer:
a. 5X1 + X 2 ≥ 0
Explanation:
Product 2 = X2
Product 1 = X1
Mass in kg of product (X1) = 5
Mass in kg of product (X2) ≥ 1 (atleast 1 kg)
Combining these Constraint :
For every 5kg of X1 ; X2 ≥ = 1
Hence ;
5X1 + X2 ≥ 0
The correct answer to this open question is the following.
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Answer: the cross-price of elasticity of demand for chocolate syrup with respect to the price of milk would be :
e = % ΔQ chocolate syrup / %ΔP of milk
e = -4% / 2%
e = -2 %
Explanation:
Answer:
The NPV from opening the branch office is negative ( -$106668.08). Thus the branch office should not be opened.
Explanation:
The decision to open the branch office will be taken based on the NPV provided by opening of the branch office. If the NPV of a project is positive based on the required rate of return used as a discount rate fro cash flows, the investment is worth undertaking.
The net present value (NPV) for a project can be calculated as,
NPV = CF1 / (1+r) + CF2 / (1+r)² + ... + CFn / (1+r)^n - Initial Outlay
Where,
- r is the appropriate discount rate
- Initial Outlay is the Initial cost of the project
- CF represents cash flows from the project
As the required return is 16%, we will take this as the appropriate discount rate.
NPV = 45000 / (1+0.16) + 120000 / (1+0.16)² + 150000 / (1+0.16)³ +
150000 / (1+0.16)^4 + 150000 / (1+0.16)^5 - 485000
NPV = - $106668.08
As the NPV from project is negative at a required return of 16%, the project should not be under taken and the branch office should not be open.