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>
Answer:
Volume = 12 *6 *8 , Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 )
Step-by-step explanation:
Given : Cuboid with length 12 , width 6 and height 8 units.
To find : Drag each expression to show whether it can be used to find the volume, surface area, or neither.
Solution : We have given Cuboid with
Length = 12 units ,
Width = 6 units
Height = 8 units.
Volume of cuboid = length * width * height .
Volume = 12 *6 *8.
Surface area = 2 ( l *w + h *+w *h)
Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 ).
None = 12 +6 +8.
Therefore, Volume = 12 *6 *8 , Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 ) .
<u><em>Answer:</em></u>
(c) 4.1 km
<u><em>Explanation:</em></u>
We are given that the height of the balloon is 4 km and that it is 1 km away from the station.
Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image
<u>where:</u>
height of the balloon = 4 km represents one side of the triangle
distance between the base of the balloon and the station = 1 km represents the other side
distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.
<u>To get the length of the hypotenuse, we will use the Pythagorean theorem</u>
<u>Substitute with the givens:</u>
= √17 ≈ 4.1 km
Hope this helps :)
Answer:
2, 4, and 5
Step-by-step explanation:
There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.
Groups of four for the group of 288 and groups of five for the group of 360
