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
Korvikt [17]
3 years ago
8

Jacques deposited $1,900 into an account that earns 4% interest compounded semiannually. After t years, Jacques has $3,875.79 in

the account. Assuming he made no additional deposits or withdrawals, how long was the money in the account?
Compound interest formula:v(t)=p(1+r/n)^nt

t = years since initial deposit
n = number of times compounded per year
r = annual interest rate (as a decimal)
P = initial (principal) investment
V(t) = value of investment after t years
Business
2 answers:
kupik [55]3 years ago
3 0
A year has two semesters, then
n = 2<span>v(t)=p<span><span>(<span>1+<span>r/2</span></span>)</span><span>2t
</span></span></span><span>
3875.79 = 1900∗<span><span>(<span>1+(<span>0.04/2)</span></span>)^</span><span>2t
</span></span></span><span>
2.0398895 = <span><span>(<span>1+<span>0.042</span></span>)^</span><span>2t
</span></span></span>Apply natural logarithm on both sides

<span>ln(2.0398895) = ln<span>[<span><span>(<span>1+<span>0.042</span></span>)^</span><span>2t</span></span>]

Then simplify,
</span></span><span>0.712896 = 2t∗ln(1.02)

</span><span>t = <span>0.712896 / (<span>2∗ln(1.02))
</span></span></span><span><span>
t=18 years

I hope my answer helped you. Have a nice day!</span></span>
yarga [219]3 years ago
3 0

Answer:

18 years

Explanation:

You might be interested in
Liana Amiri (single with no dependents) has the following transactions in 2021: AGI (exclusive of capital gains and losses) $540
Alika [10]

In this situation where Liana Amiri, who is single with no dependents, carried out the stated capital transactions in 2021, her net capital gain or loss is <u>$0</u>.

<h3>What is capital gain or loss?</h3>

The capital gain or loss is the difference between the selling price and the cost or purchase price of an investment or property.

When the selling price is more than the cost, a capital gain arises.  When the cost is more than the selling price, a capital loss arises.

<h3>Data and Calculations?</h3>

AGI (exclusive of capital gains and losses) $540,000

Long-term capital gain          $22,000

Long-term capital loss              (8,000)

Net long-term capital gain = $4,000

Short-term capital gain         $19,000

Short-term capital loss          (23,000)

Net short-term capital loss $4,000

Thus, Liana Amiri's net capital gain or loss is $0 ($4,000 - $4,000).

Learn more about capital gain or loss at brainly.com/question/25117603

8 0
2 years ago
What are brokerage firms? 2. what are depository and nondepository financial institutions? how do they differ? 3. what are credi
pogonyaev
1:  Brokerage firms:  a type of non-depository financial institution that manages and facilitates the purchase of bonds, stocks, and other types of investments. 
2.  Depository and non-depository financial institutions:  Depository tends to be things such as banks and non-depository are life insurance companies; differences between both is that non-depository are not insured by FDIC.
3.  Credit Unions:  non-profit, member owned institutions and another type of depository institution.
4.  Demand deposit accounts:  accounts that individuals and business can use to pay their bills.
5.  Bonds:  investments that promise to pay a certain amount of interest on the principle amount after a given time.
Critical Thinking.  1.  What are some considerations in choosing a financial institution? Which one do you think would be the most important consideration for you in choosing a financial institution? --When a choosing financial institutions, you want to consider location of the institution and the availability of services in your area.  Important factors in choosing for the location and services provided; convenience and how often you go.

2. What are the pros and cons of U.S. savings bonds? --Saving Bonds offer a secure investment; does not cost you state or local tax.  The con would be figuring when to cash them in or the maturity of the bond can be confusing.

3. What are some of the problems that individuals might face if they use one of the "problematic" financial institutions?-- If something happens that results in the person going to the institution for help; institution can charge a high interest or the loan could be short.  This can result to the person being in debt or have a mark on their financial record for late payments.

4. What are some of the consumer protections available? What can individuals do to protect themselves? --Many accounts in the United States have FDIC insurance that covers $100,000 of the money in the indiviudal's account.  The government has set regulations that can and can't be practiced with consumers; such as regulations required for banks to disclose all aspects of the agreements with their clients.

5. What are some of the advantages and disadvantages of choosing a federally-insured account?--Advantage:  federally insured for up to $100,000.--Disadvantage:  interest at which account pays is well below the inflation rate


5 0
3 years ago
At Fantastic Flavors, a large regional chain of candy stores, employees from marketing, design, production, and finance departme
Advocard [28]

Answer:

From this description, it can be inferred that Fantastic Flavors uses a(n) Team-based new-product developmen approach

Explanation:

Team-based new-product development is an approach to developing new products in which company departments work closely together in cross-functional teams, overlapping the steps in the product development process to save time and increase effectiveness

7 0
3 years ago
An example of opportunity cost:
maria [59]

Answer: b. Is the Chinese food that you gave up when you chose to eat Italian food.

Explanation: Opportunity cost refers to the cost of the next best alternative foregone or sacrificed. When an individual chooses to take a certain action, then his opportunity cost of doing that will be the alternatives that he has foregone.

IT can be expresses as,

Opportunity cost = \frac{Units sacrificed}{Units Gained}

When the individual chooses Chinese food when he could have choose to eat Italian food, his opportunity cost will be the Chinese food that you gave up.

For other options there is no information on what was given up.

8 0
3 years ago
Express the following comparative income statements in common-size percents. (Round your percentage answers to 1 decimal place.)
Mariulka [41]

Answer:

<u>GOMEZ CORPORATION </u>

<u>Comparative Income Statements</u>

<u> For Years Ended December 31</u>

<u>                                           Current Year                     Prior Year</u>

<u>                                               $                 %                          $                      % </u>

Sales                                  $785,000      100                    $640,000         100

Cost of goods sold                568,100     72.4                     288,800         45.1

Gross profit                            216,900     27.6                     351,200         54.9

Operating expenses                130,400    16.6                     221,600         34.6

Net income                               $86,500   11.0                       $129,600     20.3

The figure used to calculate the percentages is that of sale revenue. Each figure is expressed as a percentage of sales to determine the percent of expenses , profits etc.

5 0
3 years ago
Other questions:
  • On October 1, the accounts receivable account balance was $115,020. During October, $449,350 was collected from customers on acc
    8·1 answer
  • Unlike traditional manufacturing, flexible manufacturing: a. decreases efficiency. b. lowers unit costs. c. allows the productio
    13·1 answer
  • The economy begins in equilibrium at point E, representing the real interest rate r 1 at which saving S 1 equals desired investm
    15·1 answer
  • The TSA suits:
    15·2 answers
  • Out of a list of the values 12, 7, 3, 5, 8, and 2, which result would the MIN function return?
    8·2 answers
  • You are considering an investment in Crew Cut, Inc. and want to evaluate the firm's free cash flow. From the income statement, y
    8·1 answer
  • What happens to the area of a circle if the circumference is doubled?
    13·2 answers
  • what was the role of Winnie madikizela-mandela in the struggle against apartheid in the 1950s to 1970s​
    6·1 answer
  • Please provide at least 3 similarities and 3 differences between insurance companies and depository institutions both in terms o
    13·1 answer
  • Economic formulas are available to compute annual payments for loans. suppose that you borrow an amount of money p and agree to
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!