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dangina [55]
3 years ago
6

Seth worked a summer job at a camp. His salary accumulated all summer and at the end of the summer he deposited $1890 in a savin

gs account at 3.5 percent interest for 2.5 years. What was the total amount of money in the account at the end of this time?
Business
2 answers:
klemol [59]3 years ago
4 0

Answer:

Total amount= $2,055.38

Explanation:

Simple interest is defined as the amount that a lender charges the borrower for the funds collected. The borrower pays back the principal collected and the interest to the lender.

Simple interest is calculated as principal multiplied by time multiplied by interest rate.

Interest= principal * time * rate

Interest= 1,890* 2.5* 0.035

Interest= $165.375

Therefore total amount of money in the account is

Total amount= principal + Interest

Total amount= 1890+ 165.375

Total amount= $2,055.375~ $2,055.38

sergiy2304 [10]3 years ago
4 0

Answer:

$2,059.74

Explanation:

we can use the future value formula to determine the amount of money Seth will have on his savings account:

future value = present value x (1 + r)ⁿ

  • present value = $1,890
  • r = 3.5%
  • n = 2.5 years

future value = $1,890 x (1 + 3.5%)²°⁵ = $1,890 x 1.035²°⁵ = $1,890 x 1.0898 = $2,059.74

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On May 1, 2020, Course Co. borrowed $16,000 and signed a three-year note bearing interest at 6% per annum. Interest is payable q
butalik [34]

The amount that Course Co. should report as a liability for accrued interest on its December 31, 2021 balance sheet is $240.

<h3>What is accrued interest?</h3>

Accrued interest is an accounting expression that shows a liability for interest payment has been incurred for a loan but the payment has not yet been made.

For Course Co., it incurs accrued interest of $240 every quarter for the three-year note payable. Usually, the accrued interest is paid at the beginning of the next quarter.

<h3>Data and Calculations:</h3>

3-year note payable = $16,000

Rate of interest = 6% per year

Date of loan = May 1, 2020

Interest payment = quarterly or 4 times annually

Interest per quarter = $240 ($16,000 x 6% x 1/4).

Thus, the accrued interest on Course Co.'s December 31, 2021 balance sheet is $240.

Learn more about accrued interest at brainly.com/question/1542335

5 0
2 years ago
If short-run marginal cost and average variable cost curves for a competitive firm are given by SMC = 2 + 4Q, and AVC = 2 + 2Q,
sukhopar [10]

Answer:

units of output  = 2 units

fixed cost = 8

Explanation:

given data

SMC = 2 + 4Q

AVC = 2 + 2Q

to find out

how many units of output will it produce at a market price and what level of fixed cost will this firm earn zero economic profit

solution

we know here that  under perfect competition

so at the equilibrium here Price (P)  will be = MC

P = MC = 10

and

SMC = 2 + 4Q ,

P = 2 + 4Q

10 = 2 + 4Q

Q = 2 units

and

at zero economic profit we get

TR = TC    

TR = P × Q

TR = 10 × 2

TR = 20

so

TC = TFC + TVC

20 = TFC + 12    

TFC  = 8

because here [ TVC = AVC × Q ]

[ TVC = (2 + 2 × 2) × 2 ]  

[ TVC = 12 ]

8 0
4 years ago
The expected return and standard deviation of a portfolio that is 30 percent invested in 3 Doors, Inc., and 70 percent invested
kirill115 [55]

Answer:

For correlation 1 the standard deviation of portfolio is 0.433.

For correlation 0 the standard deviation of portfolio is 0.3191.

For correlation -1 the standard deviation of portfolio is 0.127.

Explanation:

The standard deviation of a portfolio is computed using the formula:

\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}

(1)

For <em>r</em> = + 1 compute the standard deviation of portfolio as follows:

\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}\\=\sqrt{(0.30^{2}\times 0.51^{2})+(0.70^{2}\times 0.40^{2})+(2\times1\times0.30\times 0.51\times0.70\times 0.40)}\\=\sqrt{0.187489}\\=0.433

Thus, for correlation 1 the standard deviation of portfolio is 0.433.

(2)

For <em>r</em> = 0 compute the standard deviation of portfolio as follows:

\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}\\=\sqrt{(0.30^{2}\times 0.51^{2})+(0.70^{2}\times 0.40^{2})+(2\times0\times0.30\times 0.51\times0.70\times 0.40)}\\=\sqrt{0.101809}\\=0.3191

Thus, for correlation 0 the standard deviation of portfolio is 0.3191.

(3)

For <em>r</em> = -1 compute the standard deviation of portfolio as follows:

\sigma_{P}=\sqrt{w^{2}_{1}\sigma_{1}^{2}+w^{2}_{2}\sigma_{2}^{2}+2\times r\times w_{1}\sigma_{1}w_{2}\sigma_{2}}\\=\sqrt{(0.30^{2}\times 0.51^{2})+(0.70^{2}\times 0.40^{2})+(2\times-1\times0.30\times 0.51\times0.70\times 0.40)}\\=\sqrt{0.016129}\\=0.127

Thus, for correlation -1 the standard deviation of portfolio is 0.127.

3 0
3 years ago
Trail Running Company has started to produce running apparel in addition to the trail running shoes that they have manufactured
Tamiku [17]

Answer:

Explanation:

Machining Department Finishing Department Estimated Manufacturing Overhead by Department ​$800,000​ $200,000

Trail Running Shoes ​360,000 machine hours​ 6,000 direct labor hours Running Apparel ​40,000 machine hours​ 34,000 direct labor hours

Manufacturing overhead is driven by machine hours for the machining department and direct labor hours for the finishing department.

At the end of the​ year, the following information was gathered related to the production of the trail running shoes and running​ apparel:

Machining Department Finishing Department Trail Running Shoes ​362,000 hours ​5,500 hours

Running Apparel​ 37,000 hours​ 35,000 hours

How much manufacturing overhead will be allocated to running​ apparel?

<em><u>For The Overhead Absorption Rate for Machining Department</u></em>

<em>Trail Running Shoes = (360,000/360,000+40,000)* $800,000 = $720,000</em>

<em>Running Apparel = (40,000/360,000+40,000)* $800,000 = $80,000</em>

<em><u>For The Overhead Absorption Rate for Finishing Department</u></em>

<em>Trail Running Shoes = (6,000/6,000+34,000)* $200,000 = $30,000</em>

<em>Running Apparel = (34,000/6,000+34,000)* $200,000 = $170,000</em>

<em><u>Therefore the running department would have been allocated ($80,000+$170,000) which is $250,000 during the period.</u></em>

8 0
3 years ago
on January 1, 2017, anodel, Inc. acquired a machine for 1,010,000. the estimated useful life of the asset is five years. residua
Licemer1 [7]

Answer:

Annual depreciation= $189,600

Explanation:

Giving the following information:

On January 1, 2017, anodel, Inc. acquired a machine for 1,010,000. the estimated useful life of the asset is five years. residual value at the end of five years is estimated to be 62000.

Annual depreciation= (original cost - salvage value)/estimated life (years)

Annual depreciation= (1,010,000 - 62,000)/5= $189,600

6 0
3 years ago
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