(3*5-11)+(3*13-15)+(1*11-9)= 30
(15-11) + (39-15) + (11-9 ) = 30
4+24+2= 30
30 = 30
So, in this only the numbers given above is used , no gaps are left and I didn't even use 0.
So, i guess my answer is right.
The y intercept is found by putting x = 0 and calculating y, and vice versa.
y intercept:-
3(0) + 8y = 14 ; 8y =14; so y = 14/8 = 7/4
x intercept:-
3x + 8(0) = 14 ; 3x = 14; x = 14/3
The equation of the line segment through A and B is given as
-7x + 3y = -21.5
In standard form,
3y = 7x - 21.5
y = (7/3)x - 7.1667
Line AB has a slope of 7/3.
Let the equation of line segment PQ be
y = mx + b
Because line segments AB and PQ are perpendicular, therefore
(7/3)*m = -1
m = -3/7
The equation of PQ is
y = -(3/7)x + b
To find b, note that the line passes through the point (7,6). Therefore
6 = -(3/7)*7 + b
6 = -3 + b
b = 9
The equation of PQ is
y = - (3/7)x + 9
or
7y = -3x + 63
3x + 7y = 63
Answer: 3x + 7y = 63
Using simple interest, it is found that:
- The amount invested at 7% is $2,000.
- The amount invested at 8% is $8,000.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The interest after t years in is modeled by:
In which:
- r is the interest rate, as a decimal.
In this problem:
- A total of $10,000 was invested, hence .
- Two accounts paying 7% and 8% annual interest, respectively, hence .
- The total interest earned for the year was $780, hence
Then:
Considering :
Considering :
Considering :
And:
Then:
- The amount invested at 7% is $2,000.
- The amount invested at 8% is $8,000.
You can learn more about simple interest at brainly.com/question/25296782