write a compound interest function to model the following situation. then, find the balance after the given number of years. $16,100 invested at a rate of 1.2ompounded monthly; 7 years

Answers

Answer 1

To model the situation of compound interest, we can use the formula:

A = P(1 + r/n)^(n*t)

Where:

A = Final balance

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, we have:

P = $16,100

r = 1.2% (or 0.012 in decimal form)

n = 12 (compounded monthly)

t = 7 years

Substituting the values into the formula, we can calculate the final balance:

A = $16,100 * (1 + 0.012/12)^(12*7)

A = $16,100 * (1 + 0.001)^84

A = $16,100 * (1.001)^84

A ≈ $16,100 * 1.1054

A ≈ $17,818.54

Therefore, the balance after 7 years would be approximately $17,818.54.

Learn more about interest here

https://brainly.com/question/29415701

#SPJ11


Related Questions

Earleton Manufacturing Company has $2 billion in sales and $471,500,000 in fixed assets. Currently, the company's fixed assets are operating at 85% of capacity.

What level of sales could Earleton have obtained if it had been operating at full capacity? Write out your answers completely. For example, 13 million should be entered as 13,000,000. Round your answer to the nearest dollar.
$

What is Earleton's target fixed assets/sales ratio? Do not round intermediate calculations. Round your answer to two decimal places.
%

If Earleton's sales increase 20%, how large of an increase in fixed assets will the company need to meet its target fixed assets/sales ratio? Write out your answer completely. Do not round intermediate calculations. Round your answer to the nearest dollar.
$

Answers

The Target fixed assets/sales ratio of Earleton's is 23.58% . The required increase in fixed assets is $242,454,000.

If Earleton Manufacturing Company is currently operating at 85% of capacity and has $2 billion in sales, to determine the level of sales it could have obtained if operating at full capacity, we can use the formula:

Full capacity sales = Current sales / Capacity utilization

Full capacity sales = $2,000,000,000 / 0.85 = $2,352,941,176 (rounded to the nearest dollar).

To calculate Earleton's target fixed assets/sales ratio, we divide the fixed assets by the sales and multiply by 100:

Target fixed assets/sales ratio = (Fixed assets / Sales) * 100

Target fixed assets/sales ratio = ($471,500,000 / $2,000,000,000) * 100 = 23.58% (rounded to two decimal places).

If Earleton's sales increase by 20%, we need to calculate the increase in fixed assets required to maintain the target fixed assets/sales ratio. First, we determine the new sales level:

New sales = Current sales + (Current sales * Sales increase)

New sales = $2,000,000,000 + ($2,000,000,000 * 0.20) = $2,400,000,000

Then, we calculate the required increase in fixed assets:

Required increase in fixed assets = (New sales * Target fixed assets/sales ratio) - Current fixed assets

Required increase in fixed assets = ($2,400,000,000 * 0.2358) - $471,500,000 = $242,454,000 (rounded to the nearest dollar).

Learn more about fixed assets link:

brainly.com/question/32409984

#SPJ11

To address the eurozone crisis, the European Central Bank (ECB) adopted a negative interest rate policy in 2014. The ECB lowered its deposit rate to -0.1% that year to hold off deflation and move the economic bloc out of a prolonged recession. Today, the ECB deposit rate is - 0.5%, the lowest on record. In theory, negative rates would boost the economy by encouraging consumers and banks to take more risks through borrowing and lending money. Using the IS-LM framework, explain why traditional monetary policy fails in the presence of zero lower bounds, and how the negative interest rate policy may help the ECB to bring the economy out of recession. [20 marks]
MUST USE IS-LM MODEL TO EXPLAIN

Answers

The European Central Bank (ECB) adopted a negative interest rate policy to address the eurozone crisis. The ECB lowered its deposit rate to -0.1% that year to prevent deflation and bring the economic bloc out of a long-term recession.

In theory, negative interest rates would boost the economy by encouraging consumers and banks to take more risks through borrowing and lending money. Traditional monetary policy fails in the presence of zero lower bounds as the interest rates can't go lower. As a result, the central bank is unable to stimulate borrowing and lending in the economy.

When interest rates are already near zero, the effectiveness of monetary policy is severely restricted as it can no longer boost investment and consumption demand through interest rate cuts. Hence, conventional monetary policy becomes ineffective when interest rates hit zero and even quantitative easing (QE) has only limited effects. In this case, the negative interest rate policy may help the ECB bring the economy out of recession by lowering borrowing costs and increasing the availability of credit, thereby increasing investment and consumption.

Know more about European Central Bank (ECB):

https://brainly.com/question/32762682

#SPJ11

what is the form of business ownership where you are taxed only at the personal level?

Answers

The form of business ownership where you are taxed only at the personal level is known as a "pass-through entity."

Pass-through entities are not subject to separate corporate taxation. Instead, the income or losses of the business "pass through" to the owners, who report them on their individual tax returns and are taxed at their personal tax rates. The owners of pass-through entities are typically responsible for paying self-employment taxes as well.

Examples of pass-through entities include sole proprietorships, partnerships, limited liability companies (LLCs), and S corporations. Each of these business structures has its own characteristics and legal requirements, so it's essential to consult with a qualified tax professional or attorney to determine the most suitable option for your specific circumstances.

To learn more about "pass-through entity.", visit  

brainly.in/question/8633664

#SPJ11