Answer:
Step-by-step explanation:
The expression is
(1/6+2 2/3)x(1 1/4-1/2)
Looking at the first parenthesis, (1/6 + 2 2/3), 1/6 is a proper fraction while 2 2/3 is a mixed fraction. We would convert 2 2/3 to improper fraction. It becomes 8/3. The first parenthesis becomes (1/6 + 8/3). The LCM is 6 so it becomes
(1 + 16)/6 = 17/6
Looking at the second parenthesis, (1 1/4 - 1/2), 1/2 is a proper fraction while 1 1/4 is a mixed fraction. We would convert 1 1/4 to improper fraction. It becomes 5/4. The second parenthesis becomes (5/4 - 1/2). The LCM is 4 so it becomes
(5 - 2)/4 = 3/4
The expression becomes
17/6 × 3/4 = 17/8 = 2 1/8
M= y2-y1/x2-x1
3-0/6-12= 3/-6= -1/2
(Slope) m=-1/2
Using simple interest, it is found that:
- The total amount paid was of $7,084.8.
- The finance charge was of $584.8.
- The simple interest rate was of 3%.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of interest after t years in is modeled by:
In which:
- r is the interest rate, as a decimal.
In this problem, the amount paid was of 36 monthly payments of
$196.80, hence:
36 x 196.80 = $7084.8.
The total amount paid was of $7,084.8.
The original price is of $6,500, hence the finance charge was of:
7084.8 - 6500 = $584.8.
For interest, we have that:
, hence:
The simple interest rate was of 3%.
More can be learned about simple interest at brainly.com/question/25296782
(-3, 0) is a solution to given equation
(-6, -1) is a solution to given equation
<em><u>Solution:</u></em>
<em><u>Given that equation is:</u></em>
<h3><em><u>
Option 1</u></em></h3>
(-3, 0)
Substitute x = -3 and y = 0 in given equation
Thus (-3, 0) is a solution to given equation
<h3><em><u>
Option 2</u></em></h3>
(-9, -1)
Substitute x = -9 and y = -1 in given equation
Thus (-9, -1) is not a solution to given equation
<h3><em><u>
Option 3</u></em></h3>
(-6, -1)
Substitute x = -6 and y = -1 in given equation
Thus (-6, -1) is a solution to given equation
Both angles are supplementary, as line DB bisects line AC. This means that both angle ABD and angle DBC will add up to 180.
Set up an equation that represents their adding up to 180:
Simplify the equation:
Add 4 to both sides:
Divide both sides by 8 to get x by itself:
Plug the value of x into the given equation for angle DBC:
m<DBC is
19 degrees wide.