The answer is y= 3/2x - 3
Here is the compound interest formula solved for years:
<span>Years = {log(total) -log(Principal)} ÷ log(1 + rate)
</span>Years = {log(800) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.903089987 -2.7781512504} / 0.010723865392
</span>Years = {
<span>
<span>
<span>
0.1249387366
} / </span></span></span><span><span><span>0.010723865392
</span>
</span>
</span>
Years =
<span>
<span>
<span>
11.6505319708
</span>
</span>
</span>
That's how many years it takes for the $600 to become exactly $800.00
The question specifically asks how long for the money to be MORE than $800.00?
So, if we enter 800.01 into the equation, then the answer is
Years = {log(800.01) - log(600)} <span>÷ log(1.025)
</span><span>Years = {2.9030954156 -2.7781512504} / 0.010723865392
</span>Years =
<span>
<span>
<span>
0.1249441652
</span>
</span>
</span>
/ 0.010723865392
<span>
<span>
<span>
Years = 11.6510381875
</span>
</span>
</span>
<span><span> </span></span>
What are you asking me ? Do you have a picture I can look at ?
Answer:
We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;
t² = 39.2 × 2/9.81
From which we have;
The time it takes the snowball to reach the ground is approximately 2.83 seconds
Step-by-step explanation:
The height of the building from which the ball is dropped, h = 39.2 m
The equation of the dropped a snowball, is given as follows;
t² = 39.2 × 9.8
Using the From the equation of free fall, we have;
s = u·t + 1/2·g·t²
Where;
u = The initial velocity = 0 m/s
t = The time of flight
g = The acceleration due to gravity = 9.81 m/s²
Therefore, we get;
∴ s = The height from which the snowball is dropped = 39.2 m
Therefore, we get;
39.2 = 0×t + 1/2×9.81×t²
∴ t² = 39.2 × 2/9.81 ≈ 7.99
t = √(7.99) ≈ 2.83
The time it takes the snowball to reach the ground, t ≈ 2.83 s.
For a regular tessellation, the shapes can be duplicated infinitely to fill a plane such that there is no gap. The only shapes that can form regular tessellations are equilateral traingle(all sides are equal. This means that it can be turned to any side and it would remain the same), square and regular hexagon. Looking at the given options, we have
Shape Tessellate?
Octagon No
Hexagon Yes
Pentagon No
Square Yes
Triangle No(unless it is specified that it is an equilateral triangle)
