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larisa [96]
3 years ago
12

A retail establishment accepts either the American Express or the VISA credit card. A total of 24 percent of its customers carry

an American Express card, 61 percent carry a VISA card, and 11 percent carry both cards. What percentage of its customers carry a credit card that the establishment will accept?
Business
1 answer:
kozerog [31]3 years ago
6 0

Answer:

The answer is: 74% of its customers carry a credit card the store will accept.

Explanation:

  • Let A denote the event a customer carries American Express credit card (24%)
  • Let V denote the event a customer carries Visa credit card (61%)
  • Let AV denote the event a customer carries both credit cards (11%)

P(A ∪ V) = probability that a customer carries at least one credit card

P(A ∪ V) = P(A) + P(V) − P(AV)

P(A ∪ V) = 0.24 + 0.61 − 0.11 = 0.74

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A firm is considering a simple investment project. If it goes forward, then the firm must pay $900 now, but it receives a paymen
kiruha [24]

Answer:

a) scenario A NPV positive 28.68, scenario B NPV Negative 16.16, scenario C NPV positive 664.92, scenario D NPV positive 889.72 (b) The scenario with the highest positive NPV is the most profitable (c) The scenario B with the interest rate of 17% has Negative NPV of 16.16 produces less investment (d) The scenario C with the highest interest rate of 20% has the positive NPV of 664.92 he scenario D with the highest interest rate of 20% has the highest positive NPV of 889.72, produces more investment

Explanation:

Calculation of Discount Factor

Effective rate for scenario C and D

Using the formula (1 + m/1 + i)∧n - 1 Where i = rate of inflation, m = cost of capital, n = numbers of years

For C since interest rate = 20% = 20÷100 = 0.2, since rate of inflation = 2% = 2÷100 = 0.02

(1 + 0.2/1 + 0.02)∧n - 1

= 1.2 /1.02 -1

=1.1764 -1

=0.1764 ×100 = 17.64%

Discount Factor for C using the formula ( 1 + r)∧-n -1/ r since n = 3 ,r = 0.1764

= ( 1 + 0.2)∧-3 - 1/ 0.1764

= (1.2)∧-3 -1/0.1764

=0.5787 -1

= 0.4213÷ 0.1764

= 2.3883

For D Effective rate

( 1 + 0.2)∧n - 1/(1 + 0.05)

= 1.2/1.05 -1

=1.1428 -1

= 0.1428 × 100 = 14.28%

DF for D

= (1 + 0.2)∧-3 -1 / 0.1428

=0.5787 -1 = 0.4213

=0.4213÷0.1428

=2.9503

DF for year 1 and 2 for C and D

Using the formula ( 1 + r) ∧-n

( 1 + 0.2)∧-1 = ( 1.2)∧-1 = 0.83

(1 + 0.2)∧-2 = (1.2)∧-2 = 0.694

DF for scenario A For year 1 -3 using ( 1+ r)∧-n

= ( 1 + 0.14)∧-1 = (1.14)∧-1 = 0.8772

= (1+0.14)∧-2 = (1.14)∧-2 = 0.7695

=(1+0.14)∧-3 = (1.14)∧-3 = 0.6750

DF for scenario B using the same formula

=( 1 + 0.17)∧-1 =(1.17)∧-1 = 0.8547

=(1+0.17)∧-2 = (1.17)∧-2 = 0.7305

=(1 + 0.17)∧-3 = (1.17)∧-3 = 0.6244

Scenario A

Year. C.F. DF PV

$ $

0. 900 1 (900)

1 400 0.8772 350.88

2 400 0.7695 307.8

3 400 0.6750 270

-----------

NPV positive 28.68

-------------

Workings = C F × DF = PV

Scenario B

Year. CF DF PV

$ $

0 900 1 (900)

1. 400 0.8547 341.88

2 400 0.7305 292.2

3. 400 0.6244 249.76

-------------

NPV Negative 16.16

------------------

Scenario C

Year CF DF PV

$ $

0 900 1 (900)

1 400 0.83 332

2 400 0.694 277.6

1-3 400 2.3883. 955.32

----- ---------

NPV positive 664.92

----------------

Scenario D

Year CF DF PV

$ $

0 900 1 (900)

1 400 0.83 332

2. 400 0.694 277.6

1-3 400 2.9503 1,180.12

---------------

NPV positive 889.72

-----------------

6 0
3 years ago
Net income was $490,000 in 2018, $460,600 in 2019, and $515,872 in 2020. What is the percentage of change from (a) 2018 to 2019,
sladkih [1.3K]

Answer:

a. The percentage of change from 2018 to 2019 is 6%

The change is an decrease.

b. The percentage of change from 2019 to 2020 is 12%

The change is an increase.

Explanation:

a.

The amount net income of change from 2018 to 2019:

Net income in 2019 - Net income in 2018 = $460,600 - $490,000 = -$29,400<0

The percentage of change from 2018 to 2019 = ($29,400/$490,000) x 100% = 6%

The change is an decrease.

b.

The amount net income of change from 2019 to 2020:

Net income in 2020 - Net income in 2019 = $515,872 - $460,600 = $55,272>0

The percentage of change from 2019 to 2020 = ($55,272/$460,600) x 100% = 12%

The change is an increase.

6 0
3 years ago
Read 2 more answers
Given the position of the 3D printer in the growth stage of its lifeâ cycle, which of the following OMâ Strategy/Issues should t
kherson [118]

Answer: cost cutting

Explanation:

3D printing technology is a from of technological innovation which people not many people know about and is less understood by the people and therefore few people might see reason to buy it.

The increase in the competitors offering the product and a price reduction can actually help the product from from the introduction to the growth stage of its life cycle.

The makers of the 3D printers should be more conceened with enhancing distribution, increasing capacity, forecasting and product and process reliability. They should be less concerned about cost-cutting as there are bigger issues to solve.

8 0
2 years ago
Bloom and Plant organize a partnership on January 1. Bloom's initial investment consists of $800 cash, $1,700 equipment and a $5
Elan Coil [88]

Answer and Explanation:

The journal entry to record the investment of Bloom is as follows:

Cash Dr $2,000

        To Capital $2,000

(Being the investment is recorded)

Here the cash is debited as it increased the asset and capital is credited as it also increased the equity

8 0
3 years ago
Section 16(b) of the 1934 Securities Exchange Act _____
tino4ka555 [31]

Answer:

Section 16(b) of the 1934 Securities Exchange Act provides for recapture by the corporation of all profits realized by an insider from the purchase or sale of corporate stock within a 6 month period.

Explanation:

This section of the 1934 Securities Exchange Act was put in place to uphold fairness and equity in the financial markets. Without its provision, insiders could advantage of privileged information and exploit it for personal gain.

8 0
3 years ago
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