You get a loan for $100,000 today and will pay it back with yearly payments of $10,000 each year in years 1 to 10. In addition, you will make a single dollar payment in year 3. How big must the single payment be, if the loan charges 6.00% APR (compounded annually)

$31,442

Explanation:

The computation is shown below:

Years             Cash flows              Discount factor         Present value

0                     $100,000.00              1                      $100,000.00

1                      $10,000.00        0.9433962264

2                     $10,000.00        0.88999644

3                                                 0.839619283

4                      $10,000.00         0.7920936632

5                      $10,000.00          0.7472581729

6                      $10,000.00          0.7049605404

7                       $10,000.00          0.6650571136

8                       $10,000.00           0.6274123713

9                       $10,000.00           0.5918984635

10                     $10,000.00            0.5583947769

Total                                                  7.3600870514

Now the present value is

= $10,000 × 7.3600870514

= $73,600.87

The single payment is

= $100,000 - $73,600.8705

= $26,399.1295

After considering the 6% APR, it is

= $26,399.1295 ÷ 0.839619283

= $31,441.72

The discount factor should be computed below

= 1 ÷ (1 + rate) ^ years

where,  

rate is 6%  

Year = 0,1,2,3,4 and so on

both are integral parts of a corporate balance sheet. the cash flow statement, or statement of cash flows, measures the sources of a company's cash and its uses of cash over a specific time period. the income statement measures a company's financial performance, such as revenues, expenses, profits or losses over a specific time period (in fact, it's sometimes called a statement of financial performance).

a cash flow statement shows exactly how much money a company has received and how much it has spent, traditionally over a period of one month. it captures the current operating results and changes on the balance sheet, such as increases or decreases in accounts receivable or accounts payable, and does not include noncash accounting items such as depreciation and amortization. the cash flow generally comes from revenue received as a result of business activity, but it may be augmented by funds available as a result of credit. a cash flow statement is used to determine the short-term viability and liquidity of a company, specifically how well it is positioned to pay its bills and vendors.

ans.

heterothermic organisms include those organisms that can switch between homeothermic (having body temperature higher than environment) and poikilothermic (having variation in internal body temperature) strategies.

some migratory birds show heterothermy as they decrease their metabolic rate during cold nights to keep their body temperature low. drop in metabolic rate allows increase in production efficiency of birds that reduces the internal body temperature to make it equal to external cold temperature during cold nights.

thus, the correct answer is 'birds allow their temperature drop in order to increase their production efficiency.'