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pshichka [43]
3 years ago
9

A Super Happy Fun Ball is dropped from a height of 10 feet and rebounds 13/14 of the distance from which it fell. How many times

will it bounce before its rebound is less than 1 foot? It will bounce times before its rebound is less than 1 foot.
Business
1 answer:
Phantasy [73]3 years ago
3 0

Answer:

32

Explanation:

First bounce = 13 / 14 × 10 = 130 /14

using geometric progression where the common ratio = 13/14, the first bound = 130/14

ar^n-1 < 1

substitute the values into the equation

130 /14 × 13/14^(n-1) < 1

(13/14)^n-1 < 1÷ (130/14)

(13/14)^n-1 < 14 / 130

take log of both side

log (13 /14)^n-1 < log ( 14/130)

n-1 log (13 /14) < log  ( 14/130)

since log (13/14) negative

n-1 > (log( 14/130)) ÷ ( log (13/14)

n - 1 > 30.07

n > 30.07 + 1 > 31.07

The 32 bounce will the first less than 1 foot

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The consumer price index for Planet Econ consists of only two items: books andhamburgers. In 2010, the base year, the typical co
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Answer:

The consumer price index for 2015 on Planet Econ is 1.25

Explanation:

The formula for computing the consumer price index is given below:

= (Total cost in the current year) ÷ (total cost in the base year)

where,

Total cost in the current year equals to

= (Base year book quantity × current year book price) + (base year hamburgers quantity × current year hamburgers price)

= 10 books × $30 + 25 hamburgers × $3

= $300 + $75

= $375

we use the base year quantity for computing the total cost for the current year.

And, the Total cost in the base year equals to

= (Base year book quantity × base year book price) + (base year hamburgers quantity × base year hamburgers price)

= 10 books × $25 + 25 hamburgers × $2

= $250 + $50

= $300

Now put these values to the above formula

So, the answer would be

= $375 ÷ $300

= 1.25

Hence, The consumer price index for 2015 on Planet Econ is 1.25

4 0
3 years ago
What is a characteristic of the leader substitutes model?
sladkih [1.3K]

It says that managers don't have to play a leading role under certain conditions.

<u>Explanation: </u>

Leadership Substitute:

A characteristic of a delegate or a circumstance or condition in which leadership works in place of a leader, inappropriate in leadership. All Leaders of an organization can sometimes work very well without a director controlling the management.

The most important aspects of a company are effective leadership, many experts agree. But sometimes it's not necessary to have leadership.  

For example, Raj is a father and that he wants his daughter to do her work. Raj knows he can usually make his daughter do things if he gives her an exchange piece of candy.

However, it's the day after Halloween in this scenario but she already has chocolates. In this respect, Raj's power of leadership has been eliminated, since the normally used award is not effective.

3 0
2 years ago
You are planning a special wedding three years from today. You don't know who your spouse will be but you do know that you are s
Novay_Z [31]

Answer:

Total amount collected = $94,400

Explanation:

Given:

1st investment = $25,000

2nd Investment = $35,000

3rd investment = $45,000

Computation of total amount:

Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1+r)^1} +\frac{45,000}{(1+r)^3} \\\\Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1+0.07)^1} +\frac{45,000}{(1+0.07)^3} \\\\Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1.07)^1} +\frac{45,000}{(1.07)^3} \\\\Total\ amount = \frac{25,000}{1} +\frac{35,000}{(1.07)} +\frac{45,000}{(1.2250)} \\\\Total\ amount = 25,000 +32,710.28 +36,734.6939 \\\\Total\ amount = 94,444 \\\\

Total amount collected = $94,400

3 0
3 years ago
Overview of financial planning
VMariaS [17]

Answer:

1. Operating plan.

2. Operating plan.

3. Financial plan.

4. Dividend policy.

5. B and C.

Explanation:

1. Operating plan: provides detailed implementation guidance for a firm's operations, as well as a forecast of the company's expected future free cash flows.

2. Operating plan: provides the inputs necessary for a risk management evaluation using sensitivity analysis, scenario analysis, or simulations.

3. Financial plan: Is based on knowledge of the amount of funds necessary to compensate the firm's shareholders, and the mix of debt and equity capital used to finance the firm.

4. Dividend policy: sets forth specific targets for cash or share distributions to the firm's shareholders.

Capital structure: describes specific targets for the mix of debt and equity used to finance a firm.

Financial planning can be defined as the process of estimating the amount of capital required for the smooth operations of the business and determine how to achieve the firm's set goals and objectives.

Hence, the following statements are true about financial planning;

I. Once a firm's forecasted financial statements are prepared, the firm must determine how much capital it will need to support these plans.

II. Management must monitor operations after implementing a financial plan to detect deviations from the plan and adjust accordingly.

6 0
3 years ago
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8090 [49]

Limited partnership form of business entity should these individuals adopt.

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A Limited Partnership is a common partner that has unlimited personal liability to the company's assets and commitments and a joint partner that has limited liability but does not share in the management process. a Limited Partnership is a limited partner.

Most states allow a professional license in a specified area for every LLP participant. As a result, relationships with doctors, judges, accountants, engineers, financial advisors certified, vet and business owners typically include lLPs. Currently attorneys and accountants are approved for LLPs in California.

8 0
3 years ago
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