1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kobotan [32]
3 years ago
10

How much money invested at 5% compounded continuously for 3 years will yield $820?

Business
2 answers:
Leno4ka [110]3 years ago
6 0
Percentage of interest at which the money is invested = 5%
Time for which the money is invested = 3 years
The final amount after 3 years = $820
Let us assume the principal amount = x dollars
Then
820 = x (1 + 0.5)^3
820 = x(1.05)^3
x = 820/(1.05)^3
   = 708.35 dollars
From the above deduction, we can conclude that the principal amount invested was $708.35.
enot [183]3 years ago
4 0

To solve for compounding continuously follow the equation:

A = Pe^rt

A = Amount

P = Principal

e = Constant e

r = Rate of interest

t = Time in years


What we know:

Interest rate in percent = 5%

Length of time money is invested = 3 years

Total after 3 years = $820

What we want to know: amount of money that will yield $820 after 3 years at a 5% interest rate = X


To solve:

820 = X(1 + 0.5)^3

820 = X(1.05)^3

X = 820/(1.05)^3

X = 708.35 dollars

The principal amount invested was $708.35

You might be interested in
On June 1, Lulu's Performing Arts School purchased merchandise with a list price of $5,500 from Monty's Inc. with credit terms 2
natali 33 [55]

Answer:

$4,410

Explanation:

Discount refers the amount that is deducted from the usal price of a good sold or service rendered.

From the question, the credit terms 2/10, n/30 implies 2% discount if the amount owed is paid within 10 days while no discount will be enjoyed if the amount owed is paid after 10 days but must be beyond 30 days.

Therefore, the amount owed by Lulu's if the store pays within the discount period, i.e. within 10 days, can be calculated as follows:

Discount = (Purchases - Merchandise returned) * 2% = ($5,500 - $1,000) * 2% = $90

Amount owed = Purchases - Merchandise returned - Discount = $5,500 - $1,000 - 90 = $4,410.

Therefore, the amount owed by Lulu's if the store pays within the discount period is $4,410.

3 0
4 years ago
Can someone help me please?
creativ13 [48]
What's is this about
5 0
4 years ago
Fortune Drilling Company acquires a mineral deposit at a cost of $5,900,000. It incurs additional costs of $600,000 to access th
satela [25.4K]

Answer:

Option C is the correct answer.

<u>Debit Depletion Expense $1,358,500; credit Accumulated Depletion $1,358,500.</u>

Explanation:

Fortune Drilling Company acquires a mineral deposit at a cost of $5,900,000. It incurs additional costs of $600,000 to access the deposit, which is estimated to contain 2,000,000 tons and is expected to take 5 years to extract. Compute the depletion expense for the first year assuming 418,000 tons were mined.

Depletion expense = ( Mineral Deposit Cost + Additional cost)/ Estimate Extraction * N0 of ton extracted in first year

Depletion expense = (5900000 + 600000)/2000000 * 418000

Depletion expense = $ 1,358,500

6 0
3 years ago
**URGENT!!! NEED HELP??!!!
Burka [1]

3)   strong; such as in the rule of an absolute monarch

4)  North West Ordinance's plan to admit new states

________________________________________________

Question 1 (1 point)

According to the Preamble of the Constitution, the founding fathers wanted to, “form a more perfect union.” What is meant by this statement?

The founding fathers wanted to create a better government.

Question 2 (1 point)

This theory on the origin of government suggests that government naturally grew and was created out of the family structure.

evolutionary theory

Question 3 (1 point)

The United States has a court system that allows for civil lawsuits to be filed to take care of matters such as property disputes, divorces, or other civil matters.  This statement best describes the U.S. government fulfilling which role of government?

conflict resolution

Question 4 (1 point)

In 1215, the angry English nobles forced King John to sign the ____, which introduced the idea of limited government. The founding fathers would later use this idea in the founding of the United States.

Magna Carta

Question 5 (1 point)

Why is philosopher John Locke important to the foundation of the United States of America?

His ideas regarding a "social contract" between society and government influenced the Founding Fathers.

Question 6 (1 point)

A government in which the people rule is called a(n) ____.

democracy

Question 7 (1 point)

Hobbes compared the government to a Leviathan in order to make the point that governments should be ____.

strong; such as in the rule of an absolute monarch

Question 8 (1 point)

How did Thomas Jefferson make the U.S. Declaration of Independence more persuasive to its readers?

by including a list of complaints against the actions of Great Britain

Question 9 (1 point)

This document was negotiated between the United States and Great Britain in 1783. It ended the revolutionary war and recognized American independence.

Treaty of Paris

Question 10 (1 point)

After the colonists gained independence from Great Britain, they knew they needed to establish a new government. This first plan of government for the United States was known as ____.

Articles of Confederation

Question 11 (1 point)

The idea that government is not all powerful is the concept of ____.

limited government

Question 12 (1 point)

Burdened down with taxes to pay for the war, colonists in Massachusetts attacked the courthouses and later a federal arsenal. These attacks were known as ____, and are important as they showed the need for a stronger federal government.

Shays' Rebellion

Question 13 (1 point)

This philosopher is best know for his ideas regarding separation of powers. The founders used his ideas when they established three separate branches of government.

Charles Montesquieu

Question 14 (1 point)

Many ideas that came from the Enlightenment in Europe were borrowed when creating state constitutions  and our national government. One of these principles is popular sovereignty. Which statement best describes popular sovereignty?

Popular sovereignty is the idea that the will of the people should govern society.

Question 15 (1 point)

Which of the following is NOT a weakness of the Articles of Confederation?

North West Ordinance's plan to admit new states

Question 16 (5 points)

1. oligarchy - government in which a small group of leaders control the country

2. unitary - power is centralized in one strong central government

3. autocracy - government in which one person rules

4. anarchy - state without government control

5. parliamentary - government in which the people elect a legislature who then chooses the executive leader

<em>*100% CORRECT TEST ANSWERS</em>

4 0
4 years ago
Read 2 more answers
Opunui Corporation has two manufacturing departments--Molding and Finishing. The company used the following data at the beginnin
Elena L [17]

Answer:

Results are below.

Explanation:

Giving the following information:

Estimated total machine-hours (MHs)= 6,250

Estimated total fixed manufacturing overhead cost= $31,700

Estimated variable manufacturing overhead cost= (1*3,250 + 2*3,000)= $9,250

Job A

Direct materials $15,900

Direct labor cost $ 23,000

Molding machine-hours 1,250

Finishing machine-hours 1,750

<u>First, we need to calculate the predetermined overhead rate:</u>

Predetermined manufacturing overhead rate= total estimated overhead costs for the period/ total amount of allocation base

Predetermined manufacturing overhead rate= (31,700 + 9,250)/6,250

Predetermined manufacturing overhead rate= $6.55 per machine hour

<u>Now, we can calculate the total cost of Job A:</u>

<u></u>

Total cost= 15,900 + 23,000 + 6.55*3,000

Total cost= $58,550

<u>Finally, the selling price for Job A:</u>

Selling price= 58,550*1.3= $76,115

6 0
3 years ago
Other questions:
  • True or false: A 15-year mortgage typically requires higher monthly payments than a 30-year mortgage but the total interest over
    5·1 answer
  • The balance in Discount on Bonds Payable
    15·1 answer
  • If a player chooses a mixed strategy in a Nash equilibrium, this implies that the payoff from using that mixed strategy is the s
    14·1 answer
  • Marketing practitioners commonly refer to the 4 P's of the Marketing Mix: Product, Price, Place and Promotion. In the service en
    9·1 answer
  • Moonlight Company sells $ 300 comma 000 of 9​%, 15​-year bonds for 67.0453 on April​ 1, 2018. The market rate of interest
    14·1 answer
  • Choose all that apply. Select all of the advantages of a retirement account. tax free until you withdraw money when you retire h
    9·1 answer
  • Sources of consumer information might include ____.
    9·1 answer
  • The following accounts and their balances appear in the ledger of Goodale Properties Inc. on June 30 of the current year: Common
    15·2 answers
  • The existence of different age groups within a company's target markets is referred to as
    6·1 answer
  • When the money market is drawn with the value of money on the vertical axis, an increase in the money supply shifts the money su
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!