Question 6 options:
Consider the line which is perpendicular to y=−2x+3 and passes through the point (4, -3). If the equation of this line is written in the form Ax + By + C = 0, then the exact value of A + B + C is

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m represents the slope of the line.

The equation of the given line is

y = - 2x + 3

Comparing with the slope intercept form, slope = - 2

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line passing through (4, - 3) is 1/2

To determine the y intercept, we would substitute m = 1/2, x = 4 and y = -3 into y = mx + c. It becomes

- 3 = 1/2 × 4 + c

- 3 = 2 + c

c = - 3 - 2

c = - 5

The equation becomes

y = x/2 - 5

Multiplying through by 2, it becomes

2y = x - 5

x - 2y - 5 = 0

Therefore

A = 1

B = - 2

C = - 5

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.