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Dennis_Churaev [7]
2 years ago
6

A rectangular floor measures $a$ feet by $b$ feet, where $a$ and $b$ are positive integers with $b > a$. An artist paints a r

ectangle on the floor with the sides of the rectangle parallel to the sides of the floor. The unpainted part of the floor forms a border of width 1 foot around the painted rectangle and occupies half the area of the entire floor. How many possibilities are there for the ordered pair $(a,b)$?
Business
1 answer:
DENIUS [597]2 years ago
8 0

The number of possibilities that are there for the ordered pair is 2.

<h3>Calculation and Parameters
</h3>

Because the unpainted part of the floor covers 1/2 of the area, then the painted rectangle covers 1/2 of the area as well.

Given that the border width is 1 foot, the dimensions of the rectangle are a-2 by b-2.

Making an equation:

ab= 2((a-2)(b-2))

ab= 2ab-4a-4b+8

ab-4a-4b+8=0

If we apply Simon's Favorite Factoring Trick,

ab-4a-4b+16= 8

(a-4)(b-4)= 8

Since b > a, then we have the possibilities

(a-4) = 1 and (b-4) = 8, or (a-4) = 2 and (b-4) = 4.

(5, 12) or (6,8) which gives us 2 possibilities.

Read more about possibilities here:

brainly.com/question/25870256

#SPJ1

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Which set of goals can at times conflict in the short run
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Correct Answer : C; High employment and price level stability.
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3 years ago
The cash conversion cycle is computed as:
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Answer:

The correct option here is A) Days sales outstanding + Days inventory outstanding - Days payable outstanding.

Explanation:

Cash conversion cycle which is also termed as Net operating cycle or Cash cycle, this cycle tells us about how much time it is going to take for an organization to converts the amount of investment it has made in the inventory and various other resources to cash , which will be generated by sales.

Formula used for calculation =

                             AMOUNT OF SALES OUTSTANDING IN DAYS

                                                  +

                             AMOUNT OF INVENTORY OUTSTANDING IN DAYS

                                                  +

                             AMOUNT OF PAYABLE OUTSTANDING IN DAYS

4 0
3 years ago
Adams Corporation's present capital structure, which is also its target capital structure is
kaheart [24]

Answer:

Task a:

The answer is $24,500.

Task b:

The answer is 17%

Explanation:

<h2>Task a:</h2><h3>What is the maximum amount of new capital that can be raised at the LOWEST  component cost of EQUITY?</h3><h3>Solution:</h3>

We already know the following:

Projected net income = $21,000

Payout ratio = 30%

Retention ratio = 70%

Debt share = 40%

Equity share = 60%

Maximum amount of capital to be raised at the lowest component cost of equity = Projected net income ×\frac{Retention ratio}{Equity share}

= $21,000 × \frac{0.70}{0.60}

= $24,500

<h3>Answer:</h3>

The maximum amount of new capital that can be raised at the lowest component of equity is $24,500.

<h2>Task b:</h2><h3>What is the component cost of equity by selling new common stock?</h3><h3>Solution:</h3>

k(e) (component cost of external equity) = [Dividend (D0)(1 + growth) / stock price(1 - flotation cost)] + growth

Formula:

k(e) = \frac{Do(1+g)}{P(1-0.20)} + 0.05

Where

Do = $2.00

G = 0.05

P = $21/88

= ($2.00(1 + 0.05) / $21.88(1-.20)) + 0.05

= ($2.10/$21.88(1-.20)) + 0.05

= ($2.10/$21.88(0.80) + 0.05

= 0.17 or 17%

<h3>Answer: </h3>

The component cost of equity by selling new common stock = 17%

5 0
3 years ago
It is May 18, 2017. You have a $10,000 semi-annual bond with a coupon rate of 10.375% which matures May 5, 2044. The bond is pri
Keith_Richards [23]

Answer:

-3.91%.

Explanation:

The Duration Adjustment (% change in bond price) is given by:

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The Convexity Adjustment is given by:

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Answer:

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When the price of gasoline increases, the amount of profit that the sellers can obtain by selling the product also increased.  This encouraged them to supply more of that product in the market.

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