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Arlecino [84]
3 years ago
10

A nonprofit group organizes its local fundraisers in teams, with each of its L team leaders responsible for D group directors, a

nd each of those D group directors responsible for F fundraisers. If each person on a team is either a team leader, group director, or fundraiser, and there are more group directors than team leaders, how many team leaders are on the Dallas team? (1) There are 81 total members on the Dallas team (2) There are 5 group directors on the Dallas team
Business
1 answer:
Akimi4 [234]3 years ago
4 0

Answer:

Each of L team leaders has D group directors, making the total number of group directors equal to (L)(D). And each of those group directors has F fundraisers, again requiring multiplication: that total is (L)(D)(F). (You can try this by plugging in small numbers - if each of 2 leaders has 3 directors, you know there would be 6 directors)

So while statement 1 is not sufficient (there are multiple combinations that could get you to 81, such as L = 1, D = 2, and F = 39; or L = 1, D = 5, and F = 15), statement 2 guarantees that there is only one team leader. This is because 5 is a prime number, and you know that the number of group directors = LD. The only possible way for LD to equal 5 is if L is 1 and D is 5, or if D is 1 and L is 5. And since the stimulus tells you that there are more directors than leaders, the combination must be 5 directors and 1 leader. Accordingly, statement 2 is sufficient.

Explanation:

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Cooke Corporation reports that at an activity level of 7,000 units, the total variable cost is $590,730, and the total fixed cos
Hoochie [10]

Answer:

$971,919

Explanation:

Given:

For activity level = 7,000 units

Total variable cost = $590,730

Total fixed cost = $372,750

Now,

Variable cost per unit = \frac{\textup{Total variable cost }}{\textup{Activity level}}

or

Variable cost per unit = \frac{\textup{590,730}}{\textup{7,000}}

or

Variable cost per unit = $84.39

The fixed cost remains the same irrespective of the number of units produced

Therefore,

The total cost for activity level of 7,100 unit

= Total variable cost for 7,100 units + Total fixed cost

= Variable cost per unit  × Number of units + Total fixed cost

= ( $84.39 × 7,100 ) + $372,750

= $599,169 + $372,750

= $971,919

8 0
3 years ago
A teacher is purchasing supplies for the classroom and has three discounts to apply to the purchase one at a time. First discoun
Vesnalui [34]
The teacher will pay $143.18
8 0
2 years ago
On March 1, Year 1, Gilmore Incorporated declared a cash dividend on its 1,500 outstanding shares of $50 par value, 6% preferred
Aleksandr-060686 [28]

Answer:

Dividend Declared (SCE) $4,500 (credit)

Shareholders for Dividends (SFP) $4,500 (credit)

Explanation:

When Dividends are declared, we recognize an Equity Element - Dividend Declared and a liability (Present Obligation that arises with declaration) to the Shareholders of the dividend.

<u>Entry :</u>

Dividend Declared (SCE) $4,500 (credit)

Shareholders for Dividends (SFP) $4,500 (credit)

Dividend Calculation = 1,500 × $50 × 6%

                                   = $4,500

8 0
3 years ago
Frank is lending $1,000 to Sarah for two years. Frank and Sarah agree that Frank should earn a 2 percent real return per year. I
egoroff_w [7]

Answer:

a. 23%.

b. Frank should charge Sarah 2% more than the inflation rate.

Explanation:

a. Find the nominal rate of interest.

To find this value we must follow this equation:

NI=RI+IR

Where NI = Nominal Interest, RI= Real Interest, and IR= Inflation Rate.

a.1. Find the real interest rate.

The problem statement gives us this value: 2% real return per year, as agreed by Sarah and Frank.

a.2. Find the inflation rate.

Here we follow this equation:

IR=(\frac{CPI_{F} -CPI_{B} }{CPI_{B} } )*100

Where:

CPI(F) is the CPI of the final year, in this case, it would be 121 (the expected CPI for two years, which is the established loan time).

CPI (B) is the CPI of the base year, that is, the CPI in force at the time that Frank makes the loan, 100 in this case.

We replace these values:

IR=(\frac{121-100}{100} )*100

IR=(\frac{21}{100} )*100

IR=0.21*100

IR=21%

The inflation rate equals 21%.

a.3. Replace in the equation of the nominal rate of interest.

NI=RI+IR

NI=0.02+0.21

NI=0.23

So, the nominal rate of interest Frank should charge Sarah equals 23%.

b. Find out how much Frank should charge Sarah (regarding inflation and considering that it is unknown).

The inflation rate reduces the return expected by Frank. Therefore, the nominal interest rate charged must be higher than the inflation rate, in order to ensure a positive real returns. In this case, since it is not known exactly what that inflation rate is, Frank must charge 2% (expected return) above what the inflation rate can record.

Hence, the short answer is: Frank should charge Sarah 2% more than the inflation rate.

8 0
3 years ago
A dog grooming business is walking through the target market defining process and is now asking questions about its potential cu
siniylev [52]

Answer:

A

Explanation:

4 0
3 years ago
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