In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula:
![m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t} }](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7BP%28%20%5Cfrac%7Br%7D%7B12%7D%29%20%7D%7B1-%281%2B%20%5Cfrac%7Br%7D%7B12%7D%29%5E%7B-12t%7D%20%20%7D%20)
where
![m](https://tex.z-dn.net/?f=m)
is the monthly payment
![P](https://tex.z-dn.net/?f=P)
is the amount
![r](https://tex.z-dn.net/?f=r)
is the interest rate in decimal form
![t](https://tex.z-dn.net/?f=t)
is the number years
First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
![\frac{4}{100} =0.04](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B100%7D%20%3D0.04)
We also know from our question that
![P=224500](https://tex.z-dn.net/?f=P%3D224500)
and
![t=30](https://tex.z-dn.net/?f=t%3D30)
, so lets replace those values into our formula to find the monthly payment:
![m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)} }](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B224500%28%20%5Cfrac%7B0.04%7D%7B12%7D%29%20%7D%7B1-%281%2B%20%5Cfrac%7B0.04%7D%7B12%7D%29%5E%7B-%2812%29%2830%29%7D%20%20%7D%20)
![m=1071.80](https://tex.z-dn.net/?f=m%3D1071.80)
We can conclude that the monthly payment during the initial period is $1071.58<span />
Answer:
Step-by-step explanation:
The total they want to raise is $2,400 if that is what you're asking?
Answer:
Step-by-step explanation:
<u>Let the integers be x- 1, x and x +1, then:</u>
- x - 1 + x + x + 1 = 87
- 3x = 87
- x = 29
The integers are 28, 29, 30
10 to the power of 10 would be 10,000,000,000
Answer:
its 36 gallons
Step-by-step explanation: