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ioda
2 years ago
5

When Alice started working, she has decided to deposit $250 a pay check into a savings account that earns an interest of 1% per

month. She gets paid on the last day of every month. Which of the following expression may be used to determine the account value 10 years from now?
a. F= [250/0.01] (F/P, 1%, 60)
b. F = 250[(P/A, 1%, 120) (F/P, 12%, 5)]
c. F= 250(F/A, 1%, 120)
d. F = [3,000(P/A, 12%, 10)] [(F/P, 12%, 10)]
Business
1 answer:
adoni [48]2 years ago
6 0

Answer:

The correct option is c. F= 250(F/A, 1%, 120).

Explanation:

Since she gets paid on the last day of every month, implies we are to the determine the future value (F) of an ordinary annuity. Therefore, the original expression for the future value (F) of an ordinary annuity is as follows:

F= A(F/A, i, n) …………………. (1)

Where:

F = Future value

A = Periodic or monthly amount = $250

F/A = Convert A to F

i = monthly interest rate = 1%

n = number of months = Number of years * number of months in a year = 10 * 12 = 120

Substituting the values into equation (1) except F/A, we have:

F= 250(F/A, 1%, 120) …………………… (1)

Therefore, the correct option is c. F= 250(F/A, 1%, 120).

<u>Note:</u>

Note that inputting equation into a scientific calculator will give the following future value (F):

F = $57,509.67

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Peyton sells an office building and the associated land on May 1 of the current year. Under the terms of the sales contract, Pey
Westkost [7]

Answer:

$2,466,000

Explanation:

Given that,

Cash Received = $1,600,000

Mortgage assume by purchaser = $950,000

Broker's commission = $75,000

points paid by seller = $9,000

Peyton's amount realized:

= Cash Received + Mortgage assume by purchaser - broker's commission - points paid by seller

= $1,600,000 + $950,000 - $75,000 - $9,000

= $2,466,000

Therefore, the amount realized by Peyton is $2,466,000.

4 0
2 years ago
A bond with 16 years to maturity and a semiannual coupon rate of 4.93 percent has a current yield of 5.29 percent. The bond's pa
zhannawk [14.2K]

Answer:

Price of bond= $1,922.92

Explanation:

<em>The value of the bond is the present value(PV) of the future cash receipts expected from the bond. The value is equal to present values of interest payment plus the redemption value (RV). </em>

Value of Bond = PV of interest + PV of RV  

Semi-annual interest = 4.93% × 2,000 × 1/2 =49.3

Semi-annual yield = 5.29%/2= 2.65%

PV of interest payment

PV = A (1- (1+r)^(-n))/r

A- 49.3, r-0.02645, n- 16×2

= 49.3× (1-(1.02645)^(-10)/0.02645)  

= 1,055.521

PV of redemption Value

<em>PV = F × (1+r)^(-n) </em>

F-2000, r-0.02645, n- 16 ×2

PV = 2,000 × 1.02645^(-16×2)

PV = 867.402

Price of Bond  

1055.52  + 867.40 =1,922.92

= $1,922.92

4 0
3 years ago
The individuals or households that want goods and services for personal consumption or use, and have the resources to buy them a
olga nikolaevna [1]

The individuals or households that want goods and services for personal consumption or use, and have the resources to buy them are part of the consumers

<h3>Who are the consumers?</h3>

Consumers are known as the end users of any produced goods and services. They are crucial in the logistics chain in order to keep production running.

They are the set of individuals that want goods and services for their daily use and consumption purposes.

Learn more on consumers here: brainly.com/question/1213062

#SPJ12

4 0
2 years ago
Central, Inc., is a manufacturer of granite paints. Sales are seasonal due to the seasonality in the home-building industry. The
Verdich [7]

The monthly sales rate made from granite paints in Central incorporations is:

February = 400 gallons

March = 266.6 gallons

Calculating the monthly rate:

The 1st quarter sales is Q1

The 2nd quarter sales is Q2

Note:

Q1= January, February & March

Q2= April, May & June

Given from the question:

Q1= 1200 gallons

Q2= 800 gallons

The monthly sales rate of is calculated by dividing the quarterly rate by 3

Q1= 1200 gallons/3 = 400

Q2= 800 gallons /3 = 266.6

The monthly sales rate made from granite paints in Central incorporations is:

February = 400 gallons

March = 266.6 gallons

<h3>What is sales forecasting?</h3>

Sales forecasting can simply be defined as the process of estimating the future revenue by predicting the amount of goods, products or services a sales unit will sell in the next week, month, quarter, or year.

Therefore, the monthly sales rate made from granite paints in Central incorporations is:

February = 400 gallons

March = 266.6 gallons

Complete question:

Central, Inc., is a manufacturer of granite paints. Sales are seasonal due to the seasonality in the home-building industry. The expected pattern of sales for the first quarters of 2011 is as follows: Sales in Units 1st quarter 2nd Quarter Quantity 1,200 gallons 800 gallons

How much quantity sales of granite paint was sold in month of

(I) February

(II)May

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7 0
2 years ago
Rogen Corporation manufactures a single product. The standard cost per unit of product is shown below.
OleMash [197]

Answer:

1. Material cost variance                            $

Standard material cost ($6  x  4,300)  25,800

Less: Actual ,aterial cost                       27,900

Material cost variance                            2,100(A)

2. Material price variance

= (Standard price - Actual price) x Actual quantity purchased

= ($6 - $6.20) x 4,500 pounds

= $900( A)

Actual price

=  Actual material cost/Actual quantity purchased

Actual price

= $27,900/4,500 pounds = $6.20

3. Material usage variance

= (Standard quantity - Actual quantity used) x Standard price

= (1 x 4,300 - 4,500) x $6

= $1,200(A)

4. Labour cost variance:                           $

Standard labour cost ($18.30 x 4,300)   78,690

Less: Actual labour cost                          77,500

Labour cost variance                                1,190

5. Labour rate variance

=(Standard rate - Actual rate) x Actual hours worked

= ($12.20 - $12.40) x 6,250 hours

= $1,250(A)

6. Labour efficiency variance

= (Standard hours - actual hours worked) x Standard rate

= (1.50 hours x 4,300 - 6,250) x $12.20

= $2,440(F)

Actual rate = Actual labour cost/Actual hours worked

Actual rate = $77,500/6,250 hours

Actual rate = $12.40

= (SR - AR) x Actual hour worked

7. Total overhead variance                                  $

 Standard overhead cost ($24 x 4,300)          103,200

Less: Actual overhead cost(78,430+ 26,670)  105,100

Total overhead variance                                     1,900

Less: Actual overhead cost

Explanation:

Material cost variance is the difference between standard material cost and actual material cost.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

Material price variance is the difference between standard price and actual price multiplied by actual quantity purchased.

Material usage variance is the difference between standard quantity and actual quantity used multiplied by standard price.

Labour cost variance is the difference between standard labour cost and actual labour cost.

Labour rate variance is the difference between standard rate and actual rate multiplied by actual hours worked.

Labour efficiency variance is the difference between standard hours and actual hours worked multiplied by standard rate.

Total overhead variance is the difference between standard total overhead cost and actual total overhead cost.

7 0
3 years ago
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