The following information is available: Units in process, Dec. 1 (60 percent converted) 2,000 units Units in process, Dec. 31 (50 percent converted) 1,000 units Units started during the month 7,500 units Materials are added at the beginning of the process. How many equivalent units in process for conversion were there in December

[tex]p\%=\dfrac{p}{100}\\\\3\%=\dfrac{3}{100}=3:100=0.03[/tex]

Explanation:

UNITS TO ACCOUNT FOR:

Beginning Work in Process units 2,000

Add: Units Started in Process 7,500

Total Units to account for: 9,500

Equivalent Units:

UNITS Conversion cost

% Completion Units

Units completed 8500100% 8,500

Ending Work in Process 100030% 300

Total Equivalent units 9500 8,800

65% = 0.65 = 65/100

(65/100) / (5/5) = 13/20

13/20 is the simplest fraction achievable.

I hope this helps, let me know if you have any questions!

2.01yrs

Explanation:

future value = present value * (1+r)^n

where r = interest rate per period

and n = number of periods

=>

1480 * (1+7.7%/2)^n = 1300 * (1+7.7%)^n

=>

n = 2.01 year

206/100

103/50

2 3/50

2 whole and 3/50

$915.71

Explanation:

Price of the bond is determined by calculating the present value of all cash flows.

We will use following formula in Excel

=nper(rate,pmt.-pv,fv)

rate = Interest rate = 12% x 6/12 = 6%

pmt = Coupon Payment=$1000 x 8.3% x 6/12=$41.50

pv = Price of first coupon = $813.04

fv = Face value = $1000

Placinf all the values in the formula

=nper(6%,41.50,-813.04,1000)= 16.00

Years to maturity=16/2=8 years

The years to maturity of second bond=8+3=11 years

price of second bond=-pv(rate,nper,pmt,fv)

rate = 6%

nper = 11 years x 2= 22

pmt =5.3% x $1000=$53

fv = $1000

Placing values in the formula

=-pv(6%,22,53,1000)=$915.71

$ 915.71

Explanation:

In order to determine the second bond price we need to determine the number of years to maturity of the first bond using nper formula in excel.

=nper(rate,pmt.-pv,fv)

rate is the semiannual interest rate of 6% (12%*6/12)

pmt is the semiannual interest=$1000*8.3%*6/12=$41.50

pv is the current price at $813.04

fv is the face value of $1000

=nper(6%,41.50,-813.04,1000)= 16.00

The years to maturity=16/2=8 years

The years to maturity of second bond=8+3=11 years

price of second bond=-pv(rate,nper,pmt,fv)

rate is 6%

nper is 11 years multiplied by 2= 22

pmt =5.3%*$1000=$53

fv is $1000

=-pv(6%,22,53,1000)=$915.71

[tex]p\%=\dfrac{p}{100}\\\\3\%=\dfrac{3}{100}=3:100=0.03[/tex]

7,800 units

Explanation:

work in process December 1 = 2,000 units x 60% = 1,200 equivalent units

work in process December 31 = 1,000 units x 50% = 500 equivalent units

unis started during the month = 7,500

total units transferred out = 2,000 units + 7,500 units - 1,000 units = 8,500

equivalent conversion units = total units transferred out + ending WIP - beginning WIP = 8,500 units + 500 units - 1,200 units = 7,800

[tex]p\%=\dfrac{p}{100}\\\\206\%=\dfrac{206}{100}=\dfrac{206:2}{100:2}=\dfrac{103}{50}=\dfrac{100+3}{50}=\dfrac{100}{50}+\dfrac{3}{50}=2\dfrac{3}{10}\\\\\boxed{206\%=\frac{103}{50}=2\frac{3}{50}}[/tex]