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
Alex_Xolod [135]
3 years ago
14

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough

money in the fund?
(b) Find the investors quarterly deposit if the money is deposited at 94% compounded quarterly.
The deposit should be__________. $ (Round to the nearest cent as needed)
Business
1 answer:
gizmo_the_mogwai [7]3 years ago
7 0

Answer:

(a) The deposit should be <u>$168.06 </u>quarterly.

(a) The deposit should be <u>$145.32 </u>quarterly.

Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

An investor needs $11,000 in 19 years.

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?

(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.

The explanations to the answers are now given as follows:

(a) What amount should be deposited in a fund at the end of each quarter at 7% compounded quarterly so that there will be enough money in the fund?

Since the amount should be deposited in a fund at the end of each quarter, the formula for calculating the Future Value (FV) of an Ordinary Annuity is used as follows:

FV = M * {[(1 + r)^n - 1] / r} ................................. (1)

Where,

FV = Future value of the amount needed in 19 years = $11,000

M = Quarterly deposit = ?

r = Quarterly interest rate = 7% / 4 = 0.07 / 4 = 0.0175

n = number of quarters the deposits will be made = 11 * 4 = 44

Substituting the values into equation (1) and solve for M, we have:

11,000 = M * {[(1 + 0.0175)^44 - 1] / 0.0175}

11,000 = M * 65.4531536741798

M = 11,000 / 65.4531536741798

M = $168.06

(b) Find the investors quarterly deposit if the money is deposited at 9.4% compounded quarterly.

We make use of equation (1) in part (a) as follows:

Where,

FV = Future value of the amount needed in 19 years = $11,000

M = Quarterly deposit = ?

r = Quarterly interest rate = 9.4% / 4 = 0.094 / 4 = 0.0235

n = number of quarters the deposits will be made = 11 * 4 = 44

Substituting the values into equation (1) and solve for M, we have:

11,000 = M * {[(1 + 0.0235)^44 - 1] / 0.0235}

11,000 = M * 75.6957891651599

M = 11,000 / 75.6957891651599

M = $145.32

You might be interested in
The conferences were scheduled for; October 1, November 1, and December 1. The conferences were scheduled for: October 1, Novemb
ololo11 [35]

Complete Question: in order

<em>Identify which option in the following groups is punctuated correctly</em>

1.

a. The conferences were scheduled for; October 1, November 1, and December 1.

b. The conferences were scheduled for: October 1, November 1, and December 1.

c. The conferences were scheduled for October 1, November 1, and December 1.

2

a. Working for a larger company has its advantages; consequently I have decided to stay here another year.

b. Working for a larger company has its advantages consequently, I have decided to stay here another year.

c. Working for a larger company has its advantages; consequently, I have decided to stay here another year.

3

a. The meeting started at noon: it lasted until late in the evening.

b. The meeting started at noon; it lasted until late in the evening.

c. The meeting started at noon, it lasted until late in the evening.

4

a. The company meeting is this afternoon; therefore please take a shorter lunch break.

b. The company meeting is this afternoon; therefore, please take a shorter lunch break.

c. The company meeting is this afternoon therefore, please take a shorter lunch break.

Answer:

1. option c

2. option c

3. option c

4. option c

3 0
3 years ago
Are unemployment taxes based on wages of an employers payment history?
Eddi Din [679]
No.hard or long process to receive unemployment benefits, in Illinois, it takes up 2 8 weeks to receive benefits..mostly they judge unimploy. on hours worked for that year 2 date.
6 0
3 years ago
A potential investor is seeking to invest $500,000 in a venture, which currently has 1,000,000 million shares held by its founde
Sergeu [11.5K]

Answer:

a, 15%

b, 150,000

c, $ 3.30

d, = $3,333,333.33

e, $3,833,333.33

Explanation:

To solve this,

Note that we have been given a similar venture to compare to our venture.

The total shareholder's equity for the other venture (P) = $10,000,000 and the net income (E) = $1,000,000

Hence, Price/Earnings (P/E) for other venture = 10,000,000/1,000,000 = 10.0

Now for our venture, Earnings in the 5th year = $500,000

Assuming that P/E ratio for both the ventures to be equal, P/500,000 = 10.0

hence, total shareholder's value for our venture = $5,000,000 --------------- (1)

Now the investor invested $500,000 and expected 50% return after 5 years, hence the investor's value after 5 years would be equal to 500,000 * (1+50%) = $750,000 --------------- (2)

Now percent ownership of venture given to investor = (Value of investor's investment after 5 years/total value of all shareholders after 5 years)

Hence, divide (2) by (1)

percent ownership of venture given to investor = 750,000/5,000,000 = 0.15

or 15%

Therefore Answer to part 'a' is = 15%

Part (b) :For the percentage ownership given to new investor = 15%, total number of shares = 1,000,000

Hence, number of shares issued to new investor = 15% x 1,000,000 = 150,000

Hence, answer to part b = 150,000

Part (c): Amount invested by new investor = $500,000 and number of shares issued to him = 150,000

hence issue price of share = Amount invested / Number of shares issued

= 500,000/150,000 = $3.33

Hence, issue price per share = $3.33

Part (d):

The Pre money valuation is the value of the company before any external funding. In this case, the number of shares held with the founders before the new investor = 1,000,000 and the equity price = $3.33

hence, Value of the venture = 3.33 * 1,000,000 = $3,333,333.33

Hence, pre money valuation of the venture = $3,333,333.33

Part (e): Post money valuation of a company is the value of the company after external funding. In this case, investor invests $500,000 to the venture increasing the value of the company by the same amount.

Hence post money valuation = pre money valuation + Investment

= 3,333,333.33 + 500,000

= 3,833,333.33

Hence, post-money valuation of the venture = $3,833,333.33

7 0
3 years ago
Suppose that DiamlerChrysler is considering changing its production operations from an assembly line in which each employee adds
denis-greek [22]

Answer:

Sequential interdependence on the line to pooled interdependence between the teams

Explanation:

Sequential interdependence occurs when a persons output is necessary for the performance of the next persons input. Perhaps the most obvious example of sequential interdependence is an assembly line.

While pooled interdependence he team accomplishes its tasks simply by bringing together everyone’s separate efforts. Like in DamierChrystern when the team work together to build the total car with the team deciding whi does what task. To be a team you need a team task — it requires that members actively work with each other to accomplish it

4 0
3 years ago
Brisco Bricks purchases raw material from its foreign supplier, Bolivian Clay, on May 8. Payment of 2,000,000 foreign currency u
Gekata [30.6K]

Answer:

$2,500,000

Explanation:

The computation of the amount which would be credited is shown below:

= Payment of foreign currency units (FC) is due in 30 days × exchange rate i.e spot rate on May 31

= 2,000,000 × $1.25

= $2,500,000

We simply multiply the payment with the spot rate so that the accurate value can come.

All other information which is given is not relevant. Hence, ignored it

5 0
3 years ago
Other questions:
  • A bank reconciliation proves the accuracy of the depositor’s and the bank’s records. The bank statement balance is adjusted for
    8·1 answer
  • At the beginning of the current fiscal year, the balance sheet of Hughey Inc. showed stockholders' equity of $523,000. During th
    8·1 answer
  • Promises Made in Consideration of Marriage. After twenty-nine years of marriage, Robert and Mary Lou Tuttle were divorced. They
    8·1 answer
  • Which of the following is an application of​ conservatism? A. reporting inventory at the lower of cost or market B. using the sa
    13·1 answer
  • Radford Inc. manufactures a sugar product by a continuous process, involving three production departments-Refining, Sifting, and
    10·1 answer
  • is the person responsible for the business value of the project and for deciding what work to do and in what order when using a
    9·1 answer
  • Flower Company manufactures and sells a single product that has a positive contribution margin. If the selling price and variabl
    11·1 answer
  • Lowering the cost of each item produced because of high-volume production brought on by demand stimulation is
    7·1 answer
  • 3. Which answer best shows all of the
    13·2 answers
  • Technological innovation can support a ________ strategy, in which an advantage comes from having a unique good or service for w
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!