Answer:
C or A
thats all i know hope it helps
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:right I was just look for the same thing when I tried to work it
Step-by-step explanation:
Fine arts= 85 students
History= 51 students
Both subjects=23 students
Only Fine arts=85-23=62 students
Only History=51-23=28 students
Hope you found it helpful.
When reading questions like these, watch out for "or", which means to add.
There are a total of 15 tiles;
There are 5/15 (1/3 simplified) A tiles.
There are 3/15 (1/5 simplified) E tiles.
There are 1/15 Z tiles.
There are 2/15 M tiles.
There are 3/15 (1/5 simplified) L tiles.
There is 1/15 Y tiles.
We are looking for E or Y, which means we must add their fractions together.
E = 3/15, Y = 1/15.
3/15 + 1/15 = 4/15
You have a 4/15 chance of drawing an E or a Y.
I hope this helps! :)