this triangle has 3 sides one is 12, lets call this side a²
another side is 72, lets call this side c²
this triangle must follow Pythagoras therom if it is right angled, that is a²+b²=c²
where a and b are the two shorter sides and c is the longest side (called the hypotenuse) opposite the right angle
to find the last side you do 72² - 12² = 5040
but it is the square root of 5040 which is 70.99 (two decimal places) if you want it in decimal form, if you want it in surd form it is √5040
The length of the land = the length of the waterfront + the length of dry land
The length of the land = L
The length of the waterfront = 0.65L
The length of the dry land = 70 feet
L = 0.65L + 70
L - 0.65L = 70
0.35L = 70
L = 70 ÷ 0.35
L = 200 feet
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:
19
Step-by-step explanation:
