Answer:
The probability more than 72% of the cardholders are carrying a balance is 0.2946
Explanation:
Test statistic (z) = (p' - p) ÷ sqrt[p(1-p) ÷ n]
p' is the sample proportion = 0.72
p is the population proportion = 0.74
n is the number of cardholders sampled = 140
z = (0.72 - 0.74) ÷ sqrt[0.74(1-0.74) ÷ 140] = -0.02 ÷ 0.037 = -0.54
The cumulative area of the test statistic is the probability that less than 72% of the cardholders are carrying a balance. The probability is 0.7054.
Probability (more than 72% of the cardholders are carrying a balance) = 1 - 0.7054 = 0.2946
Answer:
A parameter table was constructed to show the transportation problem and to also obtain an optimal solution.
Explanation:
<u>Solution</u>
(a) the first step is to prepare the problem as a transportation problem by establishing the appropriate parameter table
1 2 3 Supply
Source 1 31 45 38 400
(Plant) 2 29 41 45 600
3 32 46 40 400
4 28 42 M 600
5 29 43 M 1000
Demand 600 1000 800
The total supply is = 400 + 600 + 400+ 600+ 1000= 3000
Total demand is = 600 + 1000 + 800 = 2400
(b) since the problem given is an imbalanced transportation problem,to make it a balance transportation problem we will make use of what is called the dummy destination for this numbers 3000 - 2400 = 600
1 2 3 4 (Dummy) Supply
Source 1 31 45 38 0 400
(Plant) 2 29 41 45 0 600
3 32 46 40 0 400
4 28 42 M 0 600
5 29 43 M 0 100
Demand 600 1000 800 600
The positive independent number of allocations is equal to m+n -1 = 5 + 4-1 =8
This solution is a basic feasible solution called a non -degenerate
The cost of initial transportation is he initial transportation cost=31*400+29*200+41*400+46*400+42*200+M*400+M*400+0*600
=$61400+800M
Note: kindly find an attached document of the part of the solution of the work.
Answer:
Explanation:
Operating activities : It includes all activities related to the changes in the working capital or changes in the current assets and current liabilities.
The increase in current liabilities increase the cash and decrease in current liabilities decrease the cash, so the adjustment is made accordingly. But it is opposite with the current assets.
The Net cash in operating activities under indirect method is shown below:
= Net income + Depreciation expense - decrease in accounts payable + decrease in inventory - increase in accounts receivable
= $65,000 + $19,000 - $3,500 + $4,000 - $6,500
= $78,000
The other effect like increase in bond payable, sale of common stock for cash is classified under financing activities. Thus, it is not considered in computation part.
Hence, the Net cash in operating activities under indirect method is $78,000
Answer:
Annual deposit= $71,428.57 per year
Explanation:
Giving the following information:
You expect to live to 100 and work until you turn 65. You estimate that you will need $100,000 per year.
Every dollar in the plan earns 7% per year.
You have just turned 22 years old.
First, we need to calculate the amount of money necessary in retirement:
Final value= 100,000*35 years= 3,500,000
Now, using the following formula, we calculate the yearly deposit needed:
FV= {A*[(1+i)^n-1]}/i
A= annual deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
n= 65-22= 43
FV= 3,500,000
i=0.07
A= (3,500,000*0.07)/[(1.07^22)-1]
A= 245,000/3.43
A= 71,428.57 per year
Answer:
I prepared an amortization schedule using an excel spreadsheet. The original monthly payment was $836.44. After the 120th payment, the remaining principal balance was $68,940.64. Since she didn't pay anything for 1 year, the new principal balance will be $68,940.64 x (1 + 8%) = $74,455.89
I prepared another amortization schedule for the remaining 9 years, and the monthly payment is $969.32. She will pay off the loan in 108 months.
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