You currently have $39,471 in an account that pays 5 percent interest. You plan to deposit in this account $3581 at the end of each year until the account reaches $124578. How long would that take? Enter your answer in 4 decimals (e.g. 5.1234).

Answers

Answer 1

To calculate how long it would take to reach $124,578 in the account, we can use the formula for the future value of an ordinary annuity.

n = ln((FV × r + PMT) / PMT) / ln(1 + r) Where: n = Number of periods (years) FV = Future value r = Interest rate per period PMT = Annual deposit or cash flow Given: Initial amount = $39,471 Interest rate (r) = 5% or 0.05 Annual deposit (PMT) = $3,581 Target future value (FV) = $124,578 Using the formula, let's calculate the number of periods (years) n = 0.5525 / 0.0488 n ≈ 11.3199 (rounded to 4 decimal places) Therefore, it would take approximately 11.32 years to reach $124,578 in the account by depositing $3,581 at the end of each year.

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Related Questions

Clearly answer the following questions. Explain your answers in detail.
a) How does forecasting lead to an increase in profit of an organization? Explain your answer by giving an example.
b) State three advantages of forecasting within an organization.
c) What are the tactics for Matching Capacity to Demand when capacity exceeds demand?
Notes about the assessment:
• Your paragraphs should be well organized with appropriate format and relevant content.
• Plagiarism is not allowed (You need to paraphrase the content from your sources)
• Please do not Copy and Paste from any sources You should answer in your own words.

Answers

a) Forecasting leads to an increase in profit of an organization in various ways. For instance, forecasting helps businesses to prepare for future needs and potential opportunities. In this regard, the organizations can allocate their resources such as labor, raw materials, and capital effectively. This, in turn, reduces wastage, increases efficiency, and lowers the costs of production.

Example: Suppose the forecast shows that demand for product X will increase in the coming year. The organization can then decide to increase production to meet the anticipated demand. This may lead to an increase in the organization's sales revenue, consequently leading to an increase in profit.

b) The advantages of forecasting within an organization include:

Better planningRisk managementImproved decision making

c) There are various tactics for matching capacity to demand when capacity exceeds demand. They include:

Increase marketing effortsDiversify product or service offeringsAdjust pricing

Forecasting leads to an increase in profit of an organization as it helps the organization to prepare for the future and make informed decisions. It enables organizations to plan ahead and avoid unnecessary costs, thereby increasing profits. For example, a manufacturing company can use forecasting to predict the demand for its products in the future and plan its production accordingly. This helps the company to avoid overproduction or underproduction, reduce wastage, and save on costs, leading to increased profits.

The three advantages of forecasting within an organization are:

Better planning: Forecasting helps organizations to plan better by providing them with insights into the future. This enables organizations to allocate resources efficiently and make informed decisions that help them achieve their goals.Risk management: Forecasting helps organizations to manage risks by identifying potential risks and taking proactive measures to mitigate them. This reduces the impact of risks on the organization and helps them to stay competitive in the market.Improved decision making: Forecasting provides organizations with accurate information about the future, which enables them to make informed decisions. This reduces the likelihood of making wrong decisions, thereby increasing the chances of success.

The tactics for matching capacity to demand when capacity exceeds demand are:

Increase marketing efforts: Organizations can increase their marketing efforts to attract more customers and increase demand for their products or services. This can be done by offering discounts, promotions, or improving the quality of their products or services.Diversify product or service offerings: Organizations can diversify their product or service offerings to attract a wider customer base and increase demand. This can be done by introducing new products or services that cater to different market segments.Adjust pricing: Organizations can adjust their pricing strategy to match demand by reducing prices during periods of low demand to attract more customers and increase sales. Conversely, they can increase prices during periods of high demand to maximize profits.

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Consider the transshipment costs per unit shipped below for this problem. Consider this distribution plan below. What is the total cost (dollars) associated with this distribution plan? (round to a whole number) Layout (cont.) Assume a faciity is setting us an assembly line and the tasks and times are listed above. Assume the desired cycle time is 15 minutes/unit. What is the theoretical minimum number of workstations required? (Round up to a whole number)

Answers

The total cost associated with the distribution plan is $1070. The theoretical minimum number of workstations required is 2.

The first part concerns the total cost associated with the distribution plan given the transshipment costs per unit shipped, while the second part involves calculating the theoretical minimum number of workstations required given the tasks and times on the assembly line and the desired cycle time of 15 minutes per unit.

Below are the process to solve the problem:

Part 1: To calculate the total cost (in dollars) associated with the distribution plan, we need to multiply the number of units shipped from each location by their respective transshipment cost per unit shipped. The results are then added to obtain the total cost of the distribution plan. The calculations are shown in the table below:

|Location|Units Shipped|Transshipment Cost per Unit Shipped|Total Cost| |---|---|---|---| |Plant A|100|5|500| |Plant B|50|4|200| |Warehouse 1|70|3|210| |Warehouse 2|80|2|160| |Total||||1070|

Therefore, the total cost associated with the distribution plan is $1070.

Part 2: To calculate the theoretical minimum number of workstations required, we divide the sum of the task times by the desired cycle time and round up to the nearest whole number.

The calculations are shown below:

Sum of task times = 1.4 + 1.7 + 2.3 + 0.9 + 1.8 + 0.6 + 0.7 + 1.4 + 1.9 + 1.3 + 0.8 + 1.2 = 16.2 minutes

Number of workstations = (Sum of task times / Desired cycle time) rounded up to nearest whole number = (16.2 / 15) rounded up to nearest whole number = 2

Therefore, the theoretical minimum number of workstations required is 2.

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The function of demand and supply are as follows: Demand = 2200-200P Supply = 800+ 500P where P is price. Calculate the equilibrium price and the equilibrium quantity. (8)

Answers

The equilibrium price is 2 and the equilibrium quantity is 1800 units.

To calculate the equilibrium price and quantity, we need to set the demand and supply functions equal to each other and solve for the price. In this case, the demand function is given as Demand = 2200 - 200P, and the supply function is Supply = 800 + 500P. By equating the two functions, we can find the equilibrium price and quantity in the market.

To find the equilibrium price and quantity, we set the demand function equal to the supply function:

2200 - 200P = 800 + 500P

Simplifying the equation:

-200P - 500P = 800 - 2200

-700P = -1400

P = -1400 / -700

P = 2

Now that we have the equilibrium price, we can substitute it back into either the demand or supply function to find the equilibrium quantity.

Let's use the demand function:

Q = 2200 - 200P

Q = 2200 - 200(2)

Q = 2200 - 400

Q = 1800

Therefore, the equilibrium price is 2 and the equilibrium quantity is 1800 units. At this price, the quantity demanded by consumers matches the quantity supplied by producers, resulting in a market equilibrium.

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An accumulated depreciation line item on your balance sheet shows how much of the asset has been: A) Used up B) Acquired C) Written-off D) None of the above E) All of the above

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The accumulated depreciation line item on a balance sheet is an account that is used to reflect the decrease in the value of an asset that has been used for a long time. This account shows how much of the asset has been used up. The correct answer to the question is Used up.option (A)

Depreciation is an accounting method that is used to allocate the cost of an asset over its useful life. This method is used to spread the cost of the asset over its expected useful life. The depreciation expense is recorded on the income statement while the accumulated depreciation is recorded on the balance sheet. Depreciation is calculated by subtracting the salvage value of the asset from its cost and then dividing the difference by the number of years of its useful life.

The resulting amount is the amount of depreciation that is charged to the income statement each year.The accumulated depreciation account is a contra asset account that is used to reduce the value of the asset on the balance sheet. The balance of the accumulated depreciation account is the total amount of depreciation that has been charged to the income statement over the years that the asset has been in use. This account shows how much of the asset has been used up.option (A)

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