1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
faltersainse [42]
3 years ago
15

(-2a+5)(3a+4)

5)(3a + 4)" alt="( - 2a + 5)(3a + 4)" align="absmiddle" class="latex-formula">
​
Business
1 answer:
vichka [17]3 years ago
6 0
Simplifying
(2a + 5)(3a + -4) = 0

Reorder the terms:
(5 + 2a)(3a + -4) = 0

Reorder the terms:
(5 + 2a)(-4 + 3a) = 0

Multiply (5 + 2a) * (-4 + 3a)
(5(-4 + 3a) + 2a * (-4 + 3a)) = 0
((-4 * 5 + 3a * 5) + 2a * (-4 + 3a)) = 0
((-20 + 15a) + 2a * (-4 + 3a)) = 0
(-20 + 15a + (-4 * 2a + 3a * 2a)) = 0
(-20 + 15a + (-8a + 6a2)) = 0

Combine like terms: 15a + -8a = 7a
(-20 + 7a + 6a2) = 0

Solving
-20 + 7a + 6a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -2a)(4 + -3a) = 0

Subproblem 1
Set the factor '(-5 + -2a)' equal to zero and attempt to solve:

Simplifying
-5 + -2a = 0

Solving
-5 + -2a = 0

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + -2a = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2a = 0 + 5
-2a = 0 + 5

Combine like terms: 0 + 5 = 5
-2a = 5

Divide each side by '-2'.
a = -2.5

Simplifying
a = -2.5
Subproblem 2
Set the factor '(4 + -3a)' equal to zero and attempt to solve:

Simplifying
4 + -3a = 0

Solving
4 + -3a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + -3a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a = 0 + -4
-3a = 0 + -4

Combine like terms: 0 + -4 = -4
-3a = -4

Divide each side by '-3'.
a = 1.333333333

Simplifying
a = 1.333333333
Solution
a = {-2.5, 1.333333333}
You might be interested in
The Flapjack Corporation had 8,200 actual direct labor hours at an actual rate of $12.40 per hour. Original
mariarad [96]

Answer:

Option (C) is correct.

Explanation:

Given that,

Actual direct labor hours = 8,200

Actual rate = $12.40 per hour

Original  production = 1,100 units

Actual units produced = 1,000

Labor  standards = 7.6 hours per completed unit

standard rate = $13.00 per hour

Labor time variance:

= (Standard hours - Actual hours) × Standard rate

= (1,000 × 7.6 - 8,200) × $13

= 7,800 Unfavorable

3 0
3 years ago
Select the correct answer. Which of the following can be classified as secondary data? A. focus groups B. telephone surveys C. g
BARSIC [14]
I would pick D. Because the customer would be giving feedback from their own personal experience from the product they bought.
6 0
3 years ago
Refer to the following financial statements for Crosby Corporation:
Brut [27]

Answer:

Crosby Corporation

a. Statement of Cash Flows

Operating activities:

Operating Income               $304,000

Add Depreciation                  300,000

Cash from operations        $604,000

Changes in working capital items:

Accounts receivable (net)       (5,000)

Inventory                                (70,000)

Prepaid expenses                    27,700

Accounts payable                 243,000

Notes payable                         0

Accrued expenses                 (18,900)

Interest expense                   (87,900)  

Taxes                                   (155,000)

Net cash from operations $537,900

Investing Activities:

Purchase of plant              (480,000)

Investments

 (long-term securities)         16,600

Financing Activities:

Bonds payable                      21,000

Preferred stock dividends  (10,000)

Common stock dividends (153,000)

Net cash flows                  ($67,500)

Reconciliation with cash:

Beginning Cash Balance   134,000                

Ending Cash Balance       $66,500

b. The book value per common share for both 20X1 and 20X2:

= Total stockholders’ equity/Common stock outstanding

         20X1                                    20X2

=  $ 1,445,400/150,000              $ 1,343,500/150,000

= $9.636                                     = $8.957

= $9.64                                       = $8.96

Market value = $8.96 * 3.6 = $32.256

c. If the market value of a share of common stock is 3.6 times book value for 20X2, P/E ratio =

P/E ratio = Market price/EPS

= $32.256/$ .34

= 94.87 times

Explanation:

a) Data and Calculations:

CROSBY CORPORATION

Income Statement

For the Year Ended December 31, 20X2

Sales                                                                          $ 3,880,000

Cost of goods sold                                                      2,620,000

Gross profit                                                                $ 1,260,000

Selling and administrative expense    656,000

Depreciation expense                          300,000           956,000

Operating income                                                       $ 304,000

Interest expense                                                              87,900

Earnings before taxes                                                 $ 216,100

Taxes                                                                              155,000

Earnings after taxes                                                      $ 61,100

Preferred stock dividends                                              10,000

Earnings available to common stockholders              $ 51,100

Shares outstanding                                                      150,000

Earnings per share                                                         $ .34

Statement of Retained Earnings

For the Year Ended December 31, 20X2

Retained earnings, balance, January 1, 20X2             $ 855,400

Add: Earnings available to common stockholders, 20X2 51,100

Deduct: Cash dividends declared and paid in 20X2     153,000

Retained earnings, balance, December 31, 20X2     $ 753,500

Comparative Balance Sheets

For 20X1 and 20X2

                                                        Year-End  20X1        Year-End  20X2

Assets

Current assets:

Cash                                                     $ 134,000                 $ 66,500

Accounts receivable (net)                     526,000                   531,000

Inventory                                                649,000                   719,000

Prepaid expenses                                   66,800                      39,100

Total current assets                        $ 1,375,800             $ 1,355,600

Investments (long-term securities)       99,500                     82,900

Gross plant and equipment         $ 2,520,000             $ 3,000,000

Less: Accumulated depreciation     1,450,000                  1,750,000

Net plant and equipment                 1,070,000                 1,250,000

Total assets                                  $ 2,545,300             $ 2,688,500

Liabilities and Stockholders’ Equity

Current liabilities:

Accounts payable                           $ 315,000                $ 558,000

Notes payable                                    510,000                    510,000

Accrued expenses                              76,900                     58,000

Total current liabilities                   $ 901,900               $ 1,126,000

Long-term liabilities:

Bonds payable, 20X2                      198,000                     219,000

Total liabilities                            $ 1,099,900               $ 1,345,000

Stockholders’ equity:

Preferred stock, $100 par value   $ 90,000                   $ 90,000

Common stock, $1 par value          150,000                     150,000

Capital paid in excess of par         350,000                    350,000

Retained earnings                          855,400                    753,500

Total stockholders’ equity        $ 1,445,400               $ 1,343,500

Total liabilities and

 stockholders’ equity             $ 2,545,300              $ 2,688,500

Changes in working capital items:

                                                    20X1           20X2       Changes

Accounts receivable (net)      526,000       531,000        5,000

Inventory                                 649,000       719,000      70,000

Prepaid expenses                    66,800          39,100     -27,700

Accounts payable                $ 315,000  $ 558,000    243,000

Notes payable                         510,000      510,000   0

Accrued expenses                   76,900        58,000     -18,900

Bonds payable, 20X2          198,000         219,000      21,000

Investments (long-term securities) 99,500    82,900    16,600

Plant and equipment                    252,000  300,000  -48,000

5 0
3 years ago
Company Z's CPP has a Products and Completed Operations aggregate limit of $100,000, with a $20,000 limit for each occurrence. F
drek231 [11]

Answer:

65000$ remains available for complete operation losses.

Explanation:

$20,000 of the $25,000 loss is paid by the policy. The $15,000 loss is paid in full. Together these payments reduce the $100,000 aggregate limit to $65,000.

Calculation

100,0000-20,000-15,000 = 65,000 $.

8 0
3 years ago
Gugenheim, Inc., has a bond outstanding with a coupon rate of 7.7 percent and annual payments. The yield to maturity is 8.9 perc
Anna [14]

Answer:

Bond price= $1,793.62

Explanation:

Giving the following information:

Face value= $2,000

Number of periods= 17

Cupon rate= 0.077

YTM= 0.089

T<u>o calculate the price of the bond, we need to use the following formula:</u>

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 154*{[1 - (1.089^-17)] / 0.089} + [2,000/1.089^17)

Bond Price​= 1,324.21 + 469.41

Bond price= $1,793.62

3 0
3 years ago
Other questions:
  • On january 31, jean consulting company receives a bill for that month’s utilities in the amount of $500. jean sets it aside beca
    5·1 answer
  • ack Hammer invests in a stock that will pay dividends of $3.06 at the end of the first year; $3.42 at the end of the second year
    14·1 answer
  • One of your clients is a sophisticated 40 year old investor and has recently changed jobs. The client is considering rolling ove
    14·1 answer
  • *ECONOMICS*
    6·1 answer
  • During 2017, the Gateway City government recorded a $15,000 transfer from the General Fund to an internal service fund; a $25,00
    13·1 answer
  • What are some facts about fishing? ​
    15·2 answers
  • The technical and socio-cultural dimensions of project management are two sides of the same coin. Explain
    11·1 answer
  • Chaikin Money Flow is calculated by summing the ADs over the past _____ days and dividing that sum by the total volume over the
    11·1 answer
  • Which of the following locations can NOT be insulated to promote energy conservation?
    5·1 answer
  • 10. Studying data with the goal of discovering new information to aid decision-making is
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!