Given:
A figure of a parallelogram.
The vertex angles are
.
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
(Supplementary angles)


Subtract 10 from both sides.


Divide both sides by 17.


Now,



And,
(Supplementary angles)



Divide both sides by 2.



Therefore, the value of a is 64 and the value of b is 10.
Given that
starting outstanding balance = $150000
rate of interest = 7.5% per year
so rate of interest for 1 month = (7.5/12)% = 0.635%
outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance
= 150000 + (0.625 /100) × 150000
= 150000 + 937.5 = $150937.5
Reduction = outstanding balance after one month - first monthly payment
Reduction = $150937.5 - 1010.10 = 149927.40
so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.
so correct option is B that is $149927.40.
1/5 five being the denominator, because in math you must always simplify
Answer: I am not to sure but I believe that the correct answer is 21
Step-by-step explanation: I believe this is the correct answer because on the number line the numbers generally follow a sequenced order beginning with the lowest number and increasing towards larger numbers. The lowest number in this question is 21 and in the American systems we read left to right causing the number line to begin with the lowest number from the left and going to the right. The order would be 21, 48, 53, 64, 95.
Hope this helps
Answer = 4,328.12
4,000
300
20
8
0.1
0.02