Answer:
He has to deposit $750.46 every month into the account
Explanation:
Future value id the accumulated amount of principal and compounded interest at the end of a specific investment period.
Assuming interest is compounding every month, use following formula to calculate the amount of payment each month.
FV = PV x ( 1 + r )^n + A x ( ( 1 + r )^n - 1 ) / r
$57,000 = $10,000 x (1+0.1%)^5x12 + A x ( ( 1+0.1% )^5x12 -1 ) / 0.1%
A = { $57,000 - [ $10,000 x ( 1 + 0.001 )^60 ] } / [ ( ( 1 + 0.001 )^60 )-1 / 0.001 ]
A = ( $57,000 - $10,618.05 ) / 61.80471
A = $46,381.95 / 61.80471
A = $750.46
Your "gross monthly income" is the amount you make BEFORE they take out any deductions.
Your "gross monthly income" is the amount you make AFTER they take out any deductions.
Answer:
The net income will increase by $6,712 if the subcomponent is purchased.
Explanation:
Giving the following information:
Swifty Corporation incurs the following costs to produce 9900 units of a subcomponent:
Direct materials $8316
Direct labor 11187
Variable overhead 12474
Fixed overhead 16200
Total cost= $48,177
An outside supplier has offered to sell Swifty the subcomponent for $2.85 a unit.
Swifty could avoid $3000 of fixed overhead by accepting the offer.
We need to calculate the total cost of buying the subcomponent:
Buy:
Total cost= 9,900*2.85 + (16,200 - 3,000)= $41,415
The net income will increase by $6,712 if the subcomponent is purchased.
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Answer:
What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year)
and monthly payments (12 per year)?
Compare the annual cash outflows of the two payments.
- total semiannual payments per year = $2,820.62 x 2 = $5,641.24
- total monthly payments per year = $531.13 x 12 = $6,373.56
Why does the monthly payment plan have less total cash outflow each year?
- The monthly payment has a higher total cash outflow ($6,373.56 higher than $5,641.24), it is not lower. Since the compounding period is shorter, more interest is charged.
What will Sam have to pay for this equipment if the loan calls for semiannual payments (2 per year)?
- $2,820.62 x 12 payments = $33,847.44 ($25,000 principal and $8,847.44 interests)
Explanation:
cabinet cost $25,000
interest rate 10%
we can use the present value of an annuity formula to determine the monthly payment:
present value = $25,000
PV annuity factor (5%, 12 periods) = 8.86325
payment = PV / annuity factor = $25,000 / 8.8633 = $2,820.62
present value = $25,000
PV annuity factor (0.8333%, 60 periods) = 47.06973
payment = PV / annuity factor = $25,000 / 47.06973 = $531.13