Answer:
The effective annual rate of interest is "10.38%".
Explanation:
The given values are:
Nominal annual interest rate,
Q = 10%
i.e.,
= 0.10
Quarterly compounding,
q = 4
Now,
The effective annual rate of interest will be:
= ![[{1 + (\frac{Q}{q} )}^q] - 1](https://tex.z-dn.net/?f=%5B%7B1%20%2B%20%28%5Cfrac%7BQ%7D%7Bq%7D%20%29%7D%5Eq%5D%20-%201)
On substituting the given values in the above formula, we get
= ![[{1 + (\frac{0.10}{4} )}^4] 1](https://tex.z-dn.net/?f=%5B%7B1%20%2B%20%28%5Cfrac%7B0.10%7D%7B4%7D%20%29%7D%5E4%5D%20%201)
= ![[(1 + 0.025)^4] - 1](https://tex.z-dn.net/?f=%5B%281%20%2B%200.025%29%5E4%5D%20-%201)
= 
= 
= 
On converting it into percentage, we get
=
%
Answer:
Beginning Raw material Inventory = Direct materials used - Raw Materials purchases + Ending raw materials inventory
= 188,420 - 159,120 + 22,610
= $51,910
Total cost of work in process = Cost of goods manufactured + Work in process (12/31)
= 544,240 + 83,230
= $627,470
Total Manufacturing costs = Total cost of work in process - Work in process (1/1)
= 627,470 - 220,940
= $406,530
Direct labor = Total Manufacturing costs - Total overhead - Direct materials used
= 406,530 - 139,320 - 188,420
= $78,790
Answer:
6.25%
Explanation:
The formula for calculating interest rate is as follows
I= P x R x T
Where
I= interest, P= principal amount, T is time
in this case: I= $60.94, P=$975, T=1 year
Therefore:
$60.94 = $975 x( r/100) x 1
$60.94 =975(r/100) multiply both side by 100 to get rid of the fraction.
6094=975r
r = 6094/ 975
r = 6.2502
interest rate = 6.25%
Answer: Machine B because it has the lower Present Value
Explanation:
<h2>
Machine A</h2>
= Present Value of income - Present Value of Costs
Present value of Income;
Sold for $5,000 after 10 years.
= 5,000/ (1 + 8%)^10
= $2,315.97
Present Value of Costs;
Purchased for $48,000.
Maintenance of $1,000 per year for years.
Present value of maintenance= 1,000 * Present value factor of annuity, 10 years, 8%
= 1,000 * 6.7101
= $6,710.10
Machine A Present Value
= 2,315.97 - 6,710.10 - 48,000
= -$52,394
<h2>
Machine B</h2>
No salvage value.
Present Value of costs
Purchased for $40,000.
Present value of maintenance = (4,000 / (1 + 8%)^3) + (5,000 / ( 1 + 8)^6) + (6,000 / ( 1 + 8%)^8)
= -$9,567.79
Present Value = -40,000 - 9,567.79
= -$49,568
1. durability- objects used as money must withstand physical and tear
2. portability- people need to be able to take money with them as they go about their business
3.divisibility-to be useful, money must be easily divided into into smaller denominations, or units of value
4.uniformity- any two units of money must be uniform or the same in the terms of what they will buy.
5.limited supply- money must be available only in limited quantities
6.acceptability- Everyone must be able to exchange the money for goods and services