Let x = the price of the car that Olivia can afford.
Down payment = $2,500
Remaining amount to be financed is P = x - 2500.
Total payments should equal the monthly payments.
The total payment over 4 years (48 months) is
A = $185*48 = $8,880
The rate is r = 4.9% = 0.049.
The compounding interval is n = 12.
The time is t = 4 years.
The amount financed is P = $(x - 2500).
Therefore
(x - 2500)(1 + 0.049/12)⁴⁸ = 8880
1.216(x - 2500) = 8880
x - 2500 = 7302.63
x = 9802.63
Olivia can afford a car priced at $9,802.63.
Answer: $9,802.63
Answer: 6.40%
Explanation:
Use Excel to calculate this by the formula;
= RATE(Nper,Pmt,-Pv,Fv)
Nper is number of periods = 20 * 2 = 40 semi annual periods
Pmt is the payment = $6%/2 * 1,000 = $30
Pv is the present value = $955
Fv is future value or face value = $1,000
= RATE (40,60,-955,1000)
= 3.20% * 2 (because this is a semi annual rate)
= 6.40%
11.5 days, assuming none of the burgers expire before then.
Answer:
119.4% for 2017 and 100.0% for 2016.
Explanation:
2017 2016
Net sales $276,200 $231,400
Cost of goods sold $151,900 $129,590
Operating expenses $55,240 $53,240
Net earnings $27,820 $19,820
since we are using 2016 as a base year, the $231,400 in net sales represent 100%, so the trend percentage for 2017 = net sales 2017 / net sales 2016 $276,200 / $231,400 = 1.1936 = 119.4% or a 19.4% increase.
The base year's amount will always be 100% or 1, and the trend percentages will change relative to that year.
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
