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cupoosta [38]
3 years ago
11

Evelyn invests $5,000 in a savings account that pays interest at a rate of 6.7% compounded annually. If she withdraws half the i

nterest earned at the end of the third year, approximately how much additional interest does she earn during the fourth year
Business
1 answer:
My name is Ann [436]3 years ago
8 0

Answer:

$371

Explanation:

The computation of additional interest during the fourth year is shown below:

but before that we need to do the following calculations

Amount = Principal × (1 + (rate of interest ÷ (1 × 100)))^(1 × number of years)

A = $5,000 × (1 + (6.7% ÷ (1 × 100)))^(1 × 3)

= $5,000 × (1 + (6.7 ÷ 100))^(1 × 3)

= $5,000 × (1 + 0.067)^3

= $5,000 × (1.067)^3

= 5000 × 1.214

= $6,070

Now, Interest gained after 3 years on the amount of Principal is

= $6,070 - $5,000

= $1,070

Here Evelyn issued interest which is half that is earned at the end of the 3rd year

Sp,

Half of the interest gained will be

= $1,070 ÷ 2

= $535

Now,

The new Principal amount for 4th year is

= $6,070 - $535

= $5,535

So, the final amount in the fourth year is

A = P × (1 + (r ÷ n))^(nt)

= $5,535 × (1 + 0.067 ÷ 1 ]^(1 × 1)

= $5,535 × 1.067

= $5.905.845

Hence the additional interest in the fourth year is

= $5,905.845 - $5,535

= $370.845

or

= $371

Therefore for computing the additional interest during the fourth year we simply applied the above formula.

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Suppose you observe the following situation:
Finger [1]

Answer:

a. The expected return on the market is 10.89%

b. The risk-free rate is 1.52%

Explanation:

In order to calcuate the expected return on the market and the he risk-free rate we would have to use the following formulas:

Expected return=risk-free rate +Beta*(market rate- risk-free rate )

13.23=Rf+1.25*(Rm-Rf)

13.23=1.25Rm-0.25Rf

Rm=(13.23+0.25Rf)/1.25

To calculate the risk free rate, we use the following:

9.67=Rf+0.87*(Rm-Rf)

9.67=0.13Rf+0.87Rm

9.67=0.13Rf+0.87*(13.23+0.25Rf)/1.25

9.67=0.13Rf+9.20808+0.174Rf

Rf=(9.67-9.20808)/(0.13+0.174)

=1.52%(Approx)=risk free rate

Rm=(13.23+0.25Rf)/1.25

=10.89%(Approx)=market rate

3 0
3 years ago
Using the legend provided, classify each of the following statements: Legend A = Tax avoidance E = Tax evasion N = Neither
11111nata11111 [884]

Answer:

A, A, E, E, E.

Explanation:

Tax evasion is an illegal activity in which a person or entity deliberately avoids paying a true tax liability. Those caught evading taxes are generally subject to criminal charges and substantial penalties.

Tax avoidance is the legal usage of the tax regime in a single territory to one's own advantage to reduce the amount of tax that is payable by means that are within the law. Tax sheltering is very similar, although unlike tax avoidance tax sheltering is not necessarily legal.

Sue writes a $707 check for a charitable contribution on December 28, 2013, but does not mail the check to the charitable organization until January 10, 2014. She takes a deduction in 2013.  A - Tax Evasion

Sam decides not to report interest income from a bank because the amount is only $19.75.  A - Tax Evasion

Harry pays property taxes on his home in December 2013 rather than waiting until February 2014.  - E - Tax Avoidance.

Variet switches her investments from taxable corporate bonds to tax-exempt municipal bonds.  E - Tax Avoidance.

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8 0
3 years ago
Write a three-paragraph essay describing the value and benefits of using a balanced scorecard for management control. Compare an
Stels [109]

Answer:

The Balanced Scorecard for Management Control

Dana's company can deploy the Balanced Scorecard as a strategic management control approach which views organizational performance from four broad perspectives that are all-embracing.  These perspectives include the  Financial Perspective, the Customer Perspective, the Internal Business-Process Perspective, and  the Learning and Growth Perspective. The aim is to ensure that control is not just about one aspect of the organization, but the whole, and a balance is struck by paying equal attention to the elements that make up an organization.

According to a well-known adage, "what you measure is what you get."  The BSC approach strategically and holistically measures an organization's performance by identifying all the factors that cause improved organizational outcomes.   Therefore, the benefits of using a balanced scorecard include improved internal capacity created by a focus on improving an organization's learning and growth through the Learning and Growth perspective.  This cascades to improved internal processes which result from the internal perspective.  With improved processes, customers and other stakeholders derive better and maximum satisfaction from the organization.  This does not end here.  Satisfied customers cause improved financial results, which are distributed to an organization's stakeholders, including the government in form of taxation, dividends for stockholders, and better pay for employees, etc. These stakeholders in turn try to add value to the organization with better processes and operations, improved financing, and business opportunities.

Looking at the value package of BSC, I agree with Dana that the BSC approach is better than using only financial controls alone.  While financial controls are at the very core of resource management and operational efficiency in any organization, they do not represent the whole picture of management control.  They are the endgames and not the starting strategies for a winning organization.

Explanation:

The Balanced Scorecard (BSC) utilizes a 360 degree approach to achieve effective control of resources toward attaining goals by viewing organizational performance from four broad perspectives, which cover all aspects of any organization.  The four perspectives that BSC uses are the  Financial Perspective, the Customer Perspective, the Internal Business- Process Perspective, and  the Learning and Growth Perspective.  By approaching performance evaluation and management with these perspectives, the Balanced Scorecard is able to achieve all-round management control because no aspect of the organization is left behind.

6 0
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What is the third rule to normalize a database?
Anastasy [175]

Answer:

If the first rule is observed, the database is said to be in "first normal form." If the first three rules are observed, the database is considered to be in "third normal form." Although other levels of normalization are possible, third normal form is considered the highest level.

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alukav5142 [94]

The process being employed in the scenario above is called quality control. This is a system being used in means of maintaining standards with the use of testing out samples or products in order to check and maintain the standards that has been implemented.

6 0
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