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.
The given equation is,
It can be rewritten in the form of y=mx+c, where c is the y intercept.
Hence,
Put different values for x and find value of y.
When x=0, y=1.
When x=1,
The graph is,
Answer:
3.74 x 10^5
Step-by-step explanation:
First expand the term in scientific notation into normal notation.
3.3 x 10^5 - Here the ^5 tells us to move the decimal five places to the right, so we go from
3.30000 to
330000.00
So 3.3 x 10^5 = 330,000
Now add that to 44,000 and you get 374,000.
Return this number to scientific notation. Move the decimal back to its spot before the 3. We go from
374,000.00 to
3.74000
Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is
3.74 x 10^5
Simplify both sides to compare:
6^2 - 2^2 = 36-4 = 32
4(6+2) = 4 x 8 = 32
they are equal to each other.
Answer: B. =
