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-Dominant- [34]
3 years ago
11

You are depositing $4,500 today at an annual interest rate of 7.2 percent. How much additional interest will you earn if you lea

ve the money invested for 45 years instead of 40 years?
Business
1 answer:
Leto [7]3 years ago
4 0

Additional Interest  earned in 45 years is $30185.14

<u>Explanation:</u>

Given-

Principal, P = $4500

Rate, r = 7.2%

Time, t_{1} = 40 years

          t_{2}= 45 years

Interest = ?

We know,

A = P ( 1 + \frac{r}{n} )^n^t

A = 4500(1 + 0.072)^4^0\\\\A = 4500 * 16.136\\\\A = $72611.25\\\\

To calculate the interest,

A = P + I\\I = A - P\\\\I = $72611.25 - $4500\\I = $68111.25

Interest after 45 years:

A = P ( 1 + \frac{r}{n} )^n^t

A = 4500(1 + 0.072)^4^5\\\\A = 4500 * 22.844\\\\A = $102796.39\\\\

Interest-

A = P + I\\I = A - P\\\\I = $102796.39 - $4500\\I = $98296.39

Additional Interest  earned in 45 years = $98296.39 - $68111.25

                                                                 = $30185.14

Therefore, additional Interest  earned in 45 years is $30185.14

You might be interested in
Complete the balance sheet and sales information in the table that follows for J. White
deff fn [24]

Answer:

Sales $600,000

Cost of Goods Sold $450,000

Cash $28,000

Accounts payable $110,000

Accounts receivable $60,000

Inventory $120,000

Common Stock $140,000

Fixed Asset $192,000

Total Liabilities and equity $400,000

Explanation:

1.To compute the missing amount of sales, we must look for the data given that has something to do with sales. And the two data given that will give us the hint are the Asset turnover and the total asset.

ASSET TURNOVER = Net Sales / Total Asset

1.5 = Net Sales * $400,000

Net Sales = 1.5 * $400,000

Net Sales = $600,000

To check if the answer is correct:

$600,000 / $400,000 = 1.5 <em>which is equal to the data given</em>

<em />

2. The Sales has been computed above and Gross profit margin on sales is present, these are the hint we needed to compute the Cost of goods sold.

Sales  100%

<u>Less: Gross profit margin on sales 25%</u>

Cost of goods sold ratio on sales 75%

Therefore, $600,000 x 75% (ratio on sales) = $450,000

3.ACCOUNTS RECEIVABLE

It is impossible to compute the cash based on the data given without the accounts receivable. So, let's compute the accounts receivable beforehand.

The additional hint that we have is the Days sales outstanding (based on 365-day year).

  • Days sales outstanding = Accounts receivable / (Annual credit sales / 365 days)
  • 36.5 days = Accounts receivable / ($600,000 / 365)
  • Accounts receivable = 36.5 * ($600,000 / 365)
  • Accounts receivable = $60,000

<em>To check our answer:</em>

<em>$60,000 / ($600,000 / 365)</em>

<em>$60,000 / 1,643.84</em>

<em>36.5 days</em>

<em />

4. ACCOUNTS PAYABLE

Next missing item that we will compute is the accounts payable. The hint that we have that is related to the computation of accounts payable is the Liability to asset ratio.

FORMULA :

Liability to asset ratio = Total Liabilities / Total Assets

40% = Total Liabilities / $400,000

Total Liabilities = 40% * $400,000

Total liabilities = $160,000

To Check:

<em>$160,000 / $400,000 = 40% which is equal to the data given</em>

<em>Next Step, Compute accounts payable (the only current liability account in the given partial income statement). Long term debt is the only non-current liability on the data given, which means it is the only account that is included in the total liability of $160,000.</em>

<em />

So, $160,000 less $50,000 = $110,000 (accounts payable)

5. CASH

We can now compute the cash based on the accounts already computed above. The additional hint that we have is the quick ratio. Quick ratio is the quotient of Cash & cash equivalent plus Marketable securities (which is not present in the data given, therefore ignore) plus the accounts receivable over the current liability.

Computation:

0.80 = (Cash + Marketable security + Accounts receivable) / current liability

0.80 = (Cash + Accounts receivable) / $110,000

Cash + Accounts receivable = 0.80 * $110,000

Cash + Accounts receivable = 88,000

Cash + $60,000 = $88,000

Cash = $88,000 - $60,000

Cash = $28,000

6. INVENTORY

To compute the inventory, we need the inventory turn-over hint.

Inventory turn-over = Cost of goods sold / Average inventory

3.75 = $450,000 / Ave inventory

Average inventory = $450,000 / 3.75

Average inventory = $120,000

to check:

<em>$450,000 / $120,000 = 3.75 which is equal to the data given</em>

<em />

7. COMMON STOCK

Total asset = Liabilities + Equity

$400,000 = $160,000 +?

$400,000 - $160,000 = $240,000

Equity is composed of common stock and retained earnings. Therefore, $240,000 - $100,000 (Retained earnings) = $140,000 (common stock)

8. FIXED ASSET

It is the only asset account that is missing after we computed cash, accounts receivable and inventory. Therefore total assets less current assets equals fixed assets.

  • $400,000 - ($28,000 + $60,000 + $120,000)
  • $400,000 - $208,000
  • $192,000 (fixed assets)

9. TOTAL LIABILITIES AND EQUITY

Current liability + Non-current liability + Common stock + Retained earnings

$110,000 + $50,000 + $140,000 + $100,000

$400,000

6 0
3 years ago
In the late 1800s, Cecil Rhodes took the money he made from renting water pumps to miners and used it to buy up the claims of sm
Nimfa-mama [501]

Answer: Entrepreneurial ability

Explanation:

A. Capital in the business can be defined as the money invested for the operations of business to earn profits. Capital can be in form of any kind of money like shares and debt but a human can never be a capital.

B. Land can be defined as the capital investment of the business for the place where which the operations of the business will be maintained.

C. Entrepreneurial ability is the brain behind the business entity . In a business an entrepreneur is the person who collects capital, purchase land and maintains the operations.

D. Labor is the human capital invested in the business, that is, hiring of individuals for different types of operations.

Hence we can conclude that Cecil Rhodes played entrepreneurial ability.

7 0
3 years ago
True or False: Economists believe that social regulation is an exception to the MB = MC rule because social regulation should in
Soloha48 [4]

Answer:

TRUE

Explanation:

The statement is True. Economists believe that social regulation is an exception to the MB=MC rule. The social regulation is an important aspect for a company as a repsonsibility towards the society. There must be awareness among the customers about the products offered to them and advantages of its utilisation to them. This includes the efforts of the companies to advertise the product ina proper manner. It also requires the company to be fair with their customers with respect to the ingredients or the raw material to be used by the manufacturers of the products. The working conditions of the manufacturing firms must be adequate for the employees to deliver an efficient product.

Thanks

8 0
3 years ago
6. Many supermarkets carry plain packages that only identify the name of the product that is inside. For example, a label may re
anygoal [31]

Answer:

generic goods.

Explanation:

Generic goods -

It refers to the type of packaging , where only the type of product present inside the packet is written , rather than specifying the name of the brand , is referred to as generic goods .

For example ,

Mentioning the package with rice , cola , beans etc. , is the example of generic food .

Hence , from the given scenario of the question ,

The correct answer is generic goods .

4 0
3 years ago
What factors determine business ethics?
irinina [24]

Answer:

a.how a company treats employees

b. how a company treats consumers

c. whether a company obeys the law

e. whether a company respects the community

f. whether a company respects the environment

Business ethics refer to an area of study involving proper business policies and practices. Generally, the laws governing companies help them form a framework to adhere to in order to gain acceptance from society.

Hence, the way in which a company treats its employees and customers, its compliance with the laws of the land, and the way it acknowledges its responsibility to the community and environment are some of the factors that determine business ethics.

6 0
3 years ago
Read 2 more answers
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