Answer:
$240.76
Explanation:
The formula to determine the annual deposit is : 
 p = FV / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
FV = Future value  
P = Present value  
R = interest rate  
N = number of years  
Annuity factor = (1.07^11 - 1) / 0.07 = 15.783599
p = $3800 / 15.783599 = $240.76
 
        
             
        
        
        
Answer:
Total	$1,091.0030 
Explanation:
The market value of the bond will be the sum of the present value of the cuopon payment and the maturity date:
present alue of cuopon payment will be calculate as present value of an ordinary annuity: 
 
 
C	42.25   (1,000 face value x 8.45% /2 payment per year)
time	21 (10 years at 2 payment per year+ 1 payment)
rate	0.036   (here we use the YTM rate /2 because there are 2 payment per year)
 
 
PV	$615.1803 
 
<u>Then, for the present value at maturity, we calculate the present value of a lump sum</u>
  
  
 Maturity   1,000.00 
 time   21.00 
 rate  0.036
  
  
 PV   475.82 
<u>Finally, we add them both together</u>
PV c	$615.1803 
PV m  $475.8227 
Total	$1,091.0030 
 
        
             
        
        
        
Answer:
$77,217
$11,289
Explanation:
Fist we will calculate the present value of $10,000 payment
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. The value of the annuity is also determined by the present value of annuity payment.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where
P = Annual payment = $10,000
r = rate of return = 10% / 2  = 5%
n = number of period = 5 years x 2 semiannual payments per year = 10 payments
PV of annuity = $10,000 x [ ( 1- ( 1+ 0.05 )^-10 ) / 0.05 ]
PV of Annuity = $77,217
Now we will use the discounting method to calculate the present value of lump sum payment of $20,000
Present value = Future value x Present value factor
PV = FV x ( 1 + r )^-n
PV = $20,000 x ( 1 + 0.1 )^-6
PV = $11,289
 
        
             
        
        
        
Answer:
From maintenance to department B will be allocated 85,333 dollars
Explanation:
We distribute maintenance over personnel and operating and then,
we distributed the accumulated in personnel over the operating department:
![\left[\begin{array}{cccccc}&Maintenance&Personnel&Dep A&Deb B\\$maintenance-hours&&800&960&640\\$employes&&&160&480\\$Direct \: Cost&320,000&80,000&160,000&240,000\\$Allocate A&-320,000&106,667&128,000&85,333\\$Subtotal&&186,667&288,000&325,333\\$Allocate J&&-186,667&46,667&140,000\\$Total&&&334,667&465,333\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D%26Maintenance%26Personnel%26Dep%20A%26Deb%20B%5C%5C%24maintenance-hours%26%26800%26960%26640%5C%5C%24employes%26%26%26160%26480%5C%5C%24Direct%20%5C%3A%20Cost%26320%2C000%2680%2C000%26160%2C000%26240%2C000%5C%5C%24Allocate%20A%26-320%2C000%26106%2C667%26128%2C000%2685%2C333%5C%5C%24Subtotal%26%26186%2C667%26288%2C000%26325%2C333%5C%5C%24Allocate%20J%26%26-186%2C667%2646%2C667%26140%2C000%5C%5C%24Total%26%26%26334%2C667%26465%2C333%5C%5C%5Cend%7Barray%7D%5Cright%5D)
<em><u>For the given question it would be:</u></em>
total maintenance-hours: 800  + 960 + 640 = 2,400
<u>allocation of maintenance:</u>
320,000 x   640/2400 = 85,333