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Lyrx [107]
3 years ago
12

A college math department consisting of 9 faculty members must choose a department head, an assistant department head, and a fac

ulty senate representative. in how many ways can this be done?
Business
1 answer:
loris [4]3 years ago
4 0
<span>The department consists of 9 members but they must select a department head, an assistant department head, and a faculty senate representative. So they are 3 positions to be occupied by 9 people. It can be done in nPr = n! / (n - r)! ways.
   So 9C3 ways. 9! / (9-3)! = 9! / 6! = 504 ways</span>
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One year ago, Alpha Supply issued 15-year bonds at par. The bonds have a coupon rate of 6.5 percent, paid semiannually, and a fa
Masja [62]

Answer:

option (C) - 6.11%

Explanation:

Data provided :

Coupon rate one year ago = 6.5% = 0.065

Semiannual coupon rate = \frac{0.065}{2} = 0.0325

Face value = $1,000

Present market yield = 7.2% = 0.072

Semiannual Present market yield, r = \frac{0.072}{2} = 0.036

Now,

With semiannual coupon rate bond price one year ago, C

= 0.0325 × $1,000

= $32.5

Total period in 15 years = 15 year - 1 year = 14 year

or

n = 14 × 2 = 28 semiannual periods

Therefore,

The present value = C\times[\frac{(1-(1+r)^{-n})}{r}]+FV(1+r)^{-n}

= \$32.5\times[\frac{(1-(1+0.036)^{-28})}{0.036}]+\$1,000\times(1+0.036)^{-28}

or

= $32.5 × 17.4591 + $1,000 × 0.37147

= $567.42 + $371.47

= $938.89

Hence,

The percent change in bond price = \frac{\textup{Final price - Initial price}}{\textup{Initial price}}\times100\%

= \frac{\textup{938.89-1,000}}{\textup{1,000}}

= - 6.11%

therefore,

the correct answer is option (C) - 6.11%

4 0
4 years ago
David Grange is married and claims 4 withholding allowances. If he is paid biweekly and earns $1,846 per period, use the percent
Trava [24]

Answer: $74.60

Explanation:

For people who are paid biweekly, 1 withholding allowance = $161.5

4 withholding allowances = $646

Earnings after deducting withholding allowance = $1,846 - $646

Earnings after deducting withholding allowance = $1,200

For a married person who is paid biweekly, the percentage applicable to David's pay bracket is 10% on the amount over the $454

That is, 10% on $746 ($1200 - $454)

=$74.60

7 0
3 years ago
Natraj Corporation uses the weighted-average method in its process costing system. Operating data for the Lubricating Department
bazaltina [42]

Answer: $41,520

Explanation;

Equivalent units of production are used when some goods have not been fully processed but costs need to be attached to them. The incomplete ones will be converted to complete goods depending on how far along the production process they are.

Equivalent units for conversion costs = Transfers out during October + Ending WIP * Percentage completion

= 37,800 + (5,700 * 60%)

= $41,520

4 0
4 years ago
Why is there scarcity even in an affluent country like the united states?.
Law Incorporation [45]

Answer:

THERE ARE SCARCITY EVEN IN AN AFFLUENT COUNTRY LIKE THE UNITED STATES BECAUSE WANTS ARE LIMITED BUT NEEDS ARE UNLIMITED. SOME PEOPLE ARE POOR WHILE OTHERS ARE WEALTHY

7 0
3 years ago
According to the consumption​ function,
anygoal [31]

Answer:

The correct answer is option A.

Explanation:

Consumer spending refers to the expenditure of households on consumer goods and services. The aggregate consumer spending depends upon the disposable income of the consumer, the real interest rate, consumer optimism and wealth.  

Consumer spending is positively related to disposable income, consumer optimism and wealth. The real interest rate is inversely related to consumer spending.

5 0
3 years ago
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