Answer:
y = -(5/4)x - (1 3/4)
Step-by-step explanation:
A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation. This means we can write:
y = -(5/4)x + b
As klong a b is not -6, the line will be parallel. But we are told that point (5,-8) must be on the new line. That means we need to select a value of b to make that happen. By shifting b, we can move the straight line up or down. To move it so that it goes through (5,8), enter that point in the equation and solve for b:
y = -(5/4)x + b
-8 = -(5/4)*5 + b for (5,-8)
-8 = -(25/4) + b
b = -8 + (25/4)
b = -(32/4)+(25/4)
b = -(7/4) or - 1 3/4
The parallel line that goes through (5,-8) is y = -(5/4)x - 2
Answer:
After 10 years the investment A will be bigger than investment B.
Step-by-step explanation:
In Investment A, 50 increases each year by 8% and in investment B, 60 increases by 3 each year.
If after x years the investment A will be equal to investment B, then we can write the equation as
⇒ 50 + 4x = 60 + 3x
⇒ x = 10
Therefore, after 10 years the investment A will be bigger than investment B. (Answer)