The slope of the line l is the opposite reciprocal of y+2x=9. Rearranged the equation to y=9-2x and we get a slope of -2. The opposite reciprocal of -2 is 1/2.
y-y=m(x-x)
y-3=.5(x-4)
y=.5x+1
At the x-intercept, y=0, so
0=.5x+1
-1=.5x
x=-2
Answer:
$49.60
Step-by-step explanation:
The equation setup I used for this was as follows: $16 x (112/36)
Using PEMDAS, you'd start with the division part, 112/36. Although, I did this a bit differently, and being a bit further in school, I don't know if you go through this where you're at.
Start by factoring 112 into 4(28). This leaves you with 4(28)/36.
Next, cancel 4 out of 36. Since 4 is the common factor in 28 and 36, you cancel the four out of the equation, leaving you with 28/9. Convert this to its decimal form, 3.1.
Finally, take the 3.1 and multiply that by $16, which comes out to $49.60.
Answer:
If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.
Step-by-step explanation:
Here is what the question is asking. If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.
Okay this equation really says is what is 30% of 248.
So, lets convert 30% to a fraction, 3/10 which is easier to work with.
All you have to do now is get out a calculator and do 248 *3/10 (or .3) and get 74.4
So subtract 74.4 and get
173.6
