13).
(600 ft / 5 min) x (1min / 60sec)
= (600 · 1 / 5 · 60) (ft · min / min · sec)
= 2 ft/sec
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14).
(120 yd / 2 min) x (3ft / 1yd) x (1min /60 sec)
= (120 · 3 · 1 / 2 · 1 · 60) (yd · ft · min / min · yd · sec)
= 3 ft/sec
__________________________________
15).
(60 mile /1 hour) x (5,280ft / 1mile) x (1hr / 3,600sec)
= (60 · 5,280 · 1 / 1 · 1 · 3,600) (mile · ft · hour / hour · mile · sec)
= 88 ft/sec .
We have 4 people in our home
so total bought 360 pounds of hamburger
each ate 2/3 pound every day
so 360-(amount eaten per day) times (number of days)=0 (0 because we want it to be gone)
number of days=x unknown
amount eaten per day=(number of people) times (amount eaten per person per day)
amount eaten per day=4 times 2/3 lb=8/3
360-8/3 times x=0
360-8/3x=0
add 8/3x to both sides
360=8/3x
multiply both sides by 3/8
1080/8=x
135=x
it would take 135 days or about 4 months or 1/3 year, assuming that my family doesn't get tired of it and that my reletives don't visit and take a whole bunch to bring home.
4 people takes 135 days
Answer:
(a)$5805.21
(b)Least Expensive Mortgage =$120640.59
Most Expensive Mortgage =$152032.77
Step-by-step explanation:
The future value of an ordinary annuity with deposits P made regularly k times each year for n years, with interest compounded times k per year at an annual rate r, is given as:
![F.V.=\dfrac{P[(1+i)^{kn}-1]}{i}](https://tex.z-dn.net/?f=F.V.%3D%5Cdfrac%7BP%5B%281%2Bi%29%5E%7Bkn%7D-1%5D%7D%7Bi%7D)
The Pirerra's Monthly Payments=$140
Annual Rate =9.5%
Therefore: Monthly Rate=0.095/12
Years, n=3
Period, k=12
![F.V.=\dfrac{140[(1+\frac{0.095}{12} )^{3*12}-1]}{\frac{0.095}{12} }=\$5805.21](https://tex.z-dn.net/?f=F.V.%3D%5Cdfrac%7B140%5B%281%2B%5Cfrac%7B0.095%7D%7B12%7D%20%29%5E%7B3%2A12%7D-1%5D%7D%7B%5Cfrac%7B0.095%7D%7B12%7D%20%7D%3D%5C%245805.21)
(b)For the Johnsons, Present value of Mortgage is derived using the formula:
![\Text{Present Lump Sum}, A_0=\dfrac{P[1-(1+i)^{-kt}]}{\frac{r}{k} }](https://tex.z-dn.net/?f=%5CText%7BPresent%20Lump%20Sum%7D%2C%20A_0%3D%5Cdfrac%7BP%5B1-%281%2Bi%29%5E%7B-kt%7D%5D%7D%7B%5Cfrac%7Br%7D%7Bk%7D%20%7D)
At $1000 Monthly payment
![\Text{Present Lump Sum}, A_0=\dfrac{1000[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$104640.59](https://tex.z-dn.net/?f=%5CText%7BPresent%20Lump%20Sum%7D%2C%20A_0%3D%5Cdfrac%7B1000%5B1-%281%2B%5Cfrac%7B0.08%7D%7B12%7D%20%29%5E%7B-12%2A15%7D%5D%7D%7B%5Cfrac%7B0.08%7D%7B12%7D%20%7D%3D%5C%24104640.59)
Adding a down payment of $16000
- Least Expensive Mortgage = 104640.59+16000=$120640.59
At $1300 Monthly Payment
![\Text{Present Lump Sum}, A_0=\dfrac{1300[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$136032.77](https://tex.z-dn.net/?f=%5CText%7BPresent%20Lump%20Sum%7D%2C%20A_0%3D%5Cdfrac%7B1300%5B1-%281%2B%5Cfrac%7B0.08%7D%7B12%7D%20%29%5E%7B-12%2A15%7D%5D%7D%7B%5Cfrac%7B0.08%7D%7B12%7D%20%7D%3D%5C%24136032.77)
Adding a down payment of $16000
- Most Expensive Mortgage = 136032.77+16000=$152032.77
Answer:
sorry don't know the answer
= 12 + (- 6)(n - 1 )
This is an arithmetic sequence with n th term
= 
+ (n - 1)d
here d = - 6 - 0 = 0 - 6 = 6 - 12 = -6 and = 12, hence
= 12 + (- 6)(n - 1)
use this formula to find the 30 th term
= 12 + (- 6 × 29) = 12 - 174 = - 162
