The solutions are x = -7 and x = 1. I used a graphing calculator for this.
Given:
amount borrowed: 1,058
interest rate: 13%
term: 9 months
I'm assuming that the 13% rate is the annual interest rate. I'm also assuming that this problem is a simple interest problem.
Interest = Principal * rate * term
Interest = 1,058 * 13% * 9/12
Interest = 103.16
Total payment = Principal + interest
Total payment = 1,058 + 103.16 = 1,161.16
His monthly payment will be:
1,161.16 / 9 mos = 129.02
Devin will pay a 129.02 per month for 9 months to pay off his loan principal of 1,058 and the interest of 103.16.
A is correct
Step-by-step explanation:
The main denominator is 6
If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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