W(-7,-4) indicates the reflection across y=x. (x,y) transformed to (y,x). w(-7,-4) =w(7,4).
w'(7,-4) indicates the reflection across y-axis. (x,y) is transformed to (-x,y). w(-7,-4) = w(7,-5).
Explanation:
The rules for reflecting over the X axis is to negotiate the value of the y coordinate of each point and x is same.
After reflection the coordinates of the figure can be determined. If you reflect over the x-axis, then keep the x-coordinate and take the opposite of y- coordinate. If you reflect over y-axis, then take the opposite of x- coordinate and keep y- coordinate.
Answer:
Explanation:
a.Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=150,000/1.12+210,000/1.12^2+360,000/1.12^3
=557580.18
NPV=Present value of inflows-Present value of outflows
=557580.18-460,000
=$97580.18(Approx)=Value of factory
b.Hence since net present value is positive;factory is a good investment
(Yes)
Answer:
Part 1
<u>Cash Account</u>
$
<u>Debit :</u>
Receive cash from customers 15,000
Sale of Equipment 8,000
Bank Loan 4,000
Totals 27,000
<u>Credit :</u>
Pay cash for employee salaries 9,000
Rent 3,000
Utilities 1,000
Advertising 7,000
Ending Balance 7,000
Totals 27,000
Part 2
Ending Balance is $7,000
Explanation:
Only Cash related purchases and receipts are posted to Cash Account. Thus ignore non-cash related transactions.
The Cash Account : Receipts are posted at the Debit side of this Account and Payments at the Credit Side.
The Balance : After determining the Totals of the Debit and Credit, the shortfall of any of that side represents the Balance.
Answer:
PV of the stock today = $115.83
Explanation:
We will use the discounted cash flows approach to calculate the price of the stock today. This approach values the stock by accumulating the present value of all the expected future cash flows from the stock/asset.
As the preferred stock pays a constant dividend after equal intervals of time and for an indefinite period, it can also be treated as a perpetuity. Thus, the formula for the present value of perpetuity will be used to calculate the price of the stock at year 10 that we will discount back to today.
Present value of perpetuity = Cash flow / expected rate of return
PV of stock at Year 10 = 10 / 0.052
PV of stock at Year 10 = 192.3076923
The value of the today will be,
PV of the stock today = 192.3076923 / (1+0.052)^10
PV of the stock today = $115.83
Based on the information given the dollar amount of the discount points is $3,600.
<h3>Discount:</h3>
First step is to calculate the down payment
Down payment=$200,000-($200,000×10%)
Down payment=$200,000-$20,000
Down payment=$180,000
Second step is to calculate the discount points
Discount point=Down payment× Discount points
Discount point=$180,000×2%
Discount point=$3,600
Inconclusion the dollar amount of the discount points is $3,600.
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