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Ilia_Sergeevich [38]
3 years ago
7

You need to accumulate $10,000. To do so, you plan to make deposits of $1,000 per year - with the first payment being made a yea

r from today - into a bank account that pays 14% annual interest. Your last deposit will be less than $1,000 if less is needed to round out to $10,000. How many years will it take you to reach your $10,000 goal
Business
1 answer:
evablogger [386]3 years ago
7 0

Answer:

It will take 6.68 years to reach the $10,000 goal.

Explanation:

As the deposit of $1,000 per year is a form of the annuity payment.

We will use the following formula in order to calculate the numbers of year required to reach the goal

Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate

Where

Future value of Annuity = Target amount = $10,000

Annuity payment = Yearly deposti = $1,000

Interest rate = 14%

Numbers of years = n = ?

Placing values in the formula

Future value of Annuity = Annuity payment x ( ( ( 1 + interest rate )^numbers of years ) - 1 ) / Interest rate

$10,000 = $1,000 x ( ( ( 1 + 14% )^n ) - 1 ) /14%

$10,000 x 14% = $1,000 x ( ( ( 1.14 )^n ) - 1)

$1,400 = $1,000 x ( ( ( 1.14 )^n ) - 1)

$1,400 / $1,000 = ( ( 1.14 )^n ) - 1

1.4 = ( ( 1.14 )^n ) - 1

1.4 + 1 = 1.14^n

2.4 = 1.14^n

Log 2.4 = n x Log 1.14

n = Log 2.4 / Log 1.14

n = 6.681525965

n = 6.68 years

It will take 6.68 years to reach the $10,000 goal.

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grigory [225]

Answer:

165,000 pounds ($495,000)

Explanation:

To determine the budgeted purchases of material A in pounds for the second quarter, prepare a Materials Purchases Budget as follows :

<u>Materials Purchases Budget</u>

                                                                                                    Pounds

Materials Required for Production (80,000 x 2)                     160,000

Add Closing Materials Inventory (90,000 x 2 x 25%)              45,000

Total Materials                                                                          205,000

Less Opening Materials Inventory (80,000 x 2 x 25%)          (40,000)

Material Purchases                                                                    165,000

Cost per unit                                                                                       $3

Budgeted Materials Cost                                                       $495,000

6 0
2 years ago
Beauty Products International happens to be located a few miles from a minimum security prison. To help released prisoners reint
tatyana61 [14]

Answer:

A employ sustainable business practices with regard to its employees and society.

Explanation:

Since in the question it is mentioned that for helping released prisoners they hired for the entry level jobs, resources are to be provides also at the same time they provides the training & education

So this represents that have business practices that are sustainable in nature with respect to the employees and society

Therefore the correct option is a.

4 0
2 years ago
Midyear on July 31st, the Digby Corporation's balance sheet reported: Total Assets of $205.498 million Total Common Stock of $6.
sergey [27]

Answer:

The value of total liabilities is $155.031 million and option c is the correct answer.

Explanation:

The basic accounting equation states that the total value of assets is always equal to the sum of the total value of liabilities and the total value of equity.

Thus, we can say that,

Total Assets = Total Liabilities + Total Equity

The equity part can contain various components. In the given question it has two components namely Common Stock and retained earnings.

205.498 = Total Liabilities + (6.350 + 44.117)

205.498 = Total Liabilities + 50.467

205.498 -  50.467 = Total Liabilities

Total Liabilities = $155.031

8 0
3 years ago
Because of a chronic water shortage in California, new athletic fields must use artificial turf or xeriscape landscaping. If the
Colt1911 [192]

Answer: <em><u>Developers can spend $55316.9</u></em>

Explanation:

EAR =[e^{Annual percentage rate} -1]\times 100

Effective Annual Rate=(e^{(9/100)} -1)\times 100

Effective Annual Rate% = 9.42

PV_{Ordinary Annuity} = C\times [\frac{(1-(1+\frac{i}{100} )^{-n} )}{(i/100)} ]

where;

C = Cash flow per period

i = interest rate

n = number of payments

PV = 3500\times [\frac{(1-(1+\frac{9.42}{400} )^{-5\times 4} )}{(9.42/400)} ]

PV =  $55316.9

7 0
3 years ago
_____________________ are a form of tax and spending rules that can affect aggregate demand in the economy without any additiona
aliina [53]

<u>Automatic stabilizers</u> are a form of tax and spending rules that can affect aggregate demand in the economy without any additional change in legislation.

Automatic stabilizers are a type of fiscal policy designed to offset fluctuations in a country's economic interest thru their regular operation without extra, timely authorization from the government or policymakers.

Automatic stabilizers are mechanisms built into government budgets, without any vote from legislators, that increase spending or lower taxes when the economy slows.

Aggregate demand is the full amount of goods and services in an economy that consumers are inclined to pay for within a positive time period. Mixture demand is calculated as the sum of customer spending, investment spending, authorities spending, and the difference between exports and imports.

Learn more about Aggregate demand here brainly.com/question/1490249

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4 0
1 year ago
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