Answer:
y = -3/2x + 5/2
Step-by-step explanation:
Point: (5, -5)
Parallel to: y = -3/2x + 2
Slope= -3/2 (parallel lines have the same slope)
y-intercept = -5 - (-3/2)(5) (y - slope times x) =
-5 + 15/2 = 5/2
Answer:
liters, quarts, cups
liters, gallons, cups
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
When a slope is undefined, it is always x = ?
The point (-5, -8) tells us that x = -5
Option A also has a point with x = -5
Answer:
24 ft²
6 × 3 + (½ × 4 × 3)
Step-by-step explanation:
Split shape into a rectangle and triangle;
The rectangle is 6 by 3 ft, the area can be found by multiplying the 2 dimensions:
6 × 3 = 18
The triangle has base 4 ft, the total length of the shape (10 ft) take the 6 ft that is part of the rectangle;
The height is 3 ft;
The area us found by ½ × base × height:
½ × 4 × 3 = 6
Add this together to get the total area.
Year GDP
y (billion $)
1985 577
1986 577+ 3.2% of 577 = 577 * 1.032
1987 577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2
1988 577 * (1.032)^3
1989 577 * (1.032)^4
.... .... => model GDP = 577 * (1.032)^ (y - 1985)
Then, for GDP = $3.4 trillion = $3400 billion =>
3400 = 577 (1.032)^ (y - 1985)
Divide both sides by 577:
(1.032)^ (y - 1985) = 3400 / 577 = 5.892548
Apply logarith to both sides:
(y - 1985) log (1.032) = log 5.892548
=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years
=> y = 1985 + 56.3 = 2041.3
Answer: 2041
