Answer:
Step-by-step explanation:
Use the change-of-base rule.
log₂(62) = ln(62)/ln(2)
1/3=2/6
2/3=4/6
3/6 is between 2/6 and 4/6
We need to find m and b to find in the equation of a line:
y = mx + b
↑ <span>↑
slope y-intercept
To find m, the slope, we need to find the rise over the run of the line. You pick two points and use the y values finding the difference of them and do the same for the x values and put them on the bottom. Let's use the points (0, -2) and (4, 0):
</span>↑ ↑<span>
(x₁, y₁) (x₂, y₂)
m = (y</span>₂ - y₁)/(x₂ - x₁)
m = (-2 - 0)/(0 - 4)
m = (-2)/(-4)
m = 1/2
The slope is positive since the line is going upward from left to right.
Now we need b, the y intercept, where the line intersects with the y axis, simply by looking at the graph. b is -2.
Thus, the answer is C. y = 1/2x - 2.
The percent it needs to.grow each year is.4 percent because the investment wants.to.increase by factor.of.5. in 20 years. 20 divided by 5 would 4 percent each year.
