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m_a_m_a [10]
3 years ago
12

Devon invested $10,500 in three different mutual funds. A fund containing large cap stocks made a 6.7% return in 1 yr. A real es

tate fund lost 15.6% in 1 yr, and a bond fund made 4.9% in 1 yr. The amount invested in the large cap stock fund was four times the amount invested in the real estate fund. If Devon had a net return of $315 across all investments, how much did he invest in each fund
Business
1 answer:
madreJ [45]3 years ago
8 0

Answer:

Amount invested in a fund containing large cap stocks = $6,000

Amount invested in a real estate fund = $1,500

Amount invested in a bond fund = $3,000

Explanation:

Let:

x = Amount invested in a fund containing large cap stocks = 4 * y = 4y

y = Amount invested in a real estate fund

z = Amount invested in a bond fund =

For total amount invested, we have:

T = total amount invested = x + y + z = $10,500

Therefore, we have:

4y + y + z = $10,500

5y + z = $10,500 ……………………….. (1)

From equation (1), we have:

z = 10,500 - 5y …………………….(2)

Also, for the net returns, we have:

6.7%x - 15.6%y + 4.9%z = $315

0.067(4y) - 0.156y + 0.049z = 315

0.268y - 0.156y + 0.049z = 315

0.112y + 0.049z = 315 ………………… (3)

Substitute equation (2) for z in equation (3), we have:

0.112y + 0.049(10,500 - 5y) = 315

0.112y + 514.50 - 0.245y = 315

0.112y - 0.245y = 315 - 514.50

-0.133y = -199.50

y = -199.5 / -0.133

y = 1,500

x = 4y = 4 * 1,500 = 6,000

From equation (2), we have:

z = 10,500 - 5y = 10,500 - (5 * 1,500) = 3,000

Therefore, we have:

Amount invested in a fund containing large cap stocks = $6,000

Amount invested in a real estate fund = $1,500

Amount invested in a bond fund = $3,000

Checking this, we have:

Total amount invested = $6,000 + $1,500 + $3,000 = $10,500

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Answer:

There're 2 answers:

1) If he want to receive both interest and principal of $5,400, the amount to be deposited today is $36,234. In this case, he doesn't receive any principal back.

2) If he want to receive interest of $5,400 only , the amount to be deposited today is $67,500. In this case, he can receive back $67,500 at end of deposit.

Explanation:

1) In excel there function to calculate this = PV(rate, number of payment, amount in each payment) = PV(8%,10,5400)

2) If $5,400 is interest  Jason can receive at end  of each year = Deposit amount x 8%; thus deposit amount is 67,500 = 5,400/8%

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Using an ICD-10-CM code book, assign code(s) for the following diagnosis: Alcohol induced delirium tremens
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The ICD 10-CM code for Alcohol induced delirium tremens is F10. 921.

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2 years ago
terin, the chief human resources officer for a major financial services company, has met with each of her employees to set their
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On January 1, 2021, Gundy Enterprises purchases an office building for $316,000, paying $56,000 down and borrowing the remaining
andreyandreev [35.5K]

Total Payments      $378,542.00

Actual Payment on loan     $260,000.00

Interest Expenses          $118,542.00

<u>Explanation</u>

Date           General Journal            Debit            credit

1-Jan-18

                          Office                      $316,000

                             Cash                                              $56,000

                       Mortgage Payable                             $260,000

                (To record buying office)

2.  Amortization Schedule:

Date         Cash Paid         interest expense    Decrease in            Carrying

                                                                           value                         value

1/1/2018          0                        0                             0                          260000

1/31/2018        3154.52           1733.33                  1421.19                  258578.81

2/28/2018      3154.52          1723.86                 1430.66                  257148.15

Date     General Journal                   Debit                    Credit

1-Jan-18

             Mortgage Payable   $1,421.19

                    Interest expenses   $1,733.33

                            Cash                                                 $3,154.52

(To record first month payments)

          Interest Expenses                      Reducing the carrying value

First Payment   $1,733.33                                         $1,421.19

4. Total Payments      $378,542.00

Actual Payment on loan     $260,000.00

Interest Expenses          $118,542.00

 

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What is net income and how do you calculate it?
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Answer:

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CALCULATION

-----------------------------------------++---------------------

the amount of revenue left after subtracting all expenses, taxes and costs.

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