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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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Tony, the human resources manager for TopShelf Beverages, is confidentially working with line managers to lay off a significant
mixas84 [53]

Answer: ethical

Explanation:

Ethics simply refers to the standard of knowing what's right and wrong. From the question, we can infer that Tiny is facing ethical challenges as his action will harm some and benefit others.

In this case, some of the workforce will be laid off while there will be an increase in salary for the top executives and one of the top executives is being investigated for corrupt practices. This is an ethical dilemma.

8 0
3 years ago
Lupe's recorded balance was off by $43, and she thinks that it's because she made a mistake in her records. What mistakes did sh
pochemuha

Answer:

Lupe made a mistake when she recorded her paycheck in the wrong column. She also failed to record one of her purchases.

Explanation:

Note: This question is not complete as the attachment is not included. The complete question is therefore provided before answering the question by providing the attachment. See the attached photo for the attachment.

The explanation of the answers is now provided as follows:

From the attached photo, it can be observed that the paycheck of 11/15 was wrongly entered in the Payment Amount column instead of the Deposit amount column.

In addition, Lupe forgot to record her $12 Debit Purchase of 11/7 as shown in the Checking Account Statement from Anytown Bank.

Therefore, Lupe made a mistake when she recorded her paycheck in the wrong column. She also failed to record one of her purchases.

6 0
3 years ago
Monica wants to sell her share of an investment to Barney for $150,000 in 6 years. If money is worth 6% compounded semiannually,
prohojiy [21]

Answer:

PV= $105,206.99

Explanation:

Giving the following information:

Future Value (FV)= $150,000

Number of periods= 6*2= 12 semesters

Interest rate= 0.06/2= 0.03

<u>To calculate the present value (PV), we need to use the following formula:</u>

PV= FV/(1+i)^n

PV= 150,000 / (1.03^12)

PV= $105,206.99

3 0
3 years ago
On January 1, 2021, Robertson Construction leased several items of equipment under a two-year operating lease agreement from Jam
Bezzdna [24]

Answer:

Journal Entry

Explanation:

The Journal Entry is shown below:-

Annual interest rate = 4% (Semi annual is 2%)

Lease period = 2 years (4 semi annual lease terms)

Present value of periodic lease payment = Lease payment × PVAF (r,n)

= $40,000 × PVAF (2%,4)

= $40,000 × 3.8077

= $152,308

1. Right of use asset Dr,     $152,308

            To Lease payable              $152,308

(Being Beginning of lease is recorded)

2. Interest expenses Dr,     $3,046

(2% × ($152,308 - 0))

   Lease payable Dr,          $36,954

             To cash                                $40,000

(Being lease and interest payment is recorded)

3. Amortization expense Dr,      $36,954

($40,000 - $3,046)

            To right of use assets               $36,954

(Being amortization on the right to use of assets is recorded)

4. Interest expense Dr,                 $2,307

(($152,308 - $36,954) × 2%)

Lease payable Dr,                        $37,693

          To Cash                                         $40,000

(Being lease and interest payment is recorded)

5.  Amortization expense Dr,      $37,693

($40,000 - $2,307)

         To right of use assets                   $37,693

(Being amortization on the right use assets is recorded)

7 0
4 years ago
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Answer:

The correct answer is: soldiering.

Explanation:

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8 0
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