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.
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
HOUSE - LIBRARY = 1 3/5 MILES
LIBRARY - MALL - KYLE'S HOUSE = 1 1/3 + 4/5 = 4/3 + 4/5 =
20/15 + 12/15 = 32/15 = 2 2/15 miles
The sum of two numbers will be zero when you have the same number and one is positive and one is negative. For example 1 + -1= 0
Answer:
89.
Step-by-step explanation:
We have been given that after taking 7 quizzes, your average is 77 out of 100. We are asked to find what average score be on the next five quizzes to increase your average to 82.
The total of 12 quizzes to get 82 would be 
.
The total scores earned by you in previous 7 quizzes are 
The total scores you need to earn on next 5 quizzes would be difference of scores in 12 quizzes and total scores in 7 quizzes as:
Now, we will divide total scores on coming 5 quizzes by 5 to find the average as:
Therefore, your average score on the next five quizzes should be 89 to increase your average to 82.
area = pi x r^2
circumference = 2x pi x r or pi x d
1st one diameter = 9.5 cm
so radius = 9.5/2 = 4.75
area = 3.14 x 4.75^2 = 70.85 square cm
circumference = 3.14 x 9.5 = 29.83 cm
2nd one radius = 4
area = 3.14 x 4^2 = 50.25 square cm
circumference = 2 x 3.14 x 4 = 25.12 cm
