The account balance resulting from a principal of P and an interest rate of r over t years is
A = P(1 +rt)
Substitute the given values and solve for t.
11424 = 5600(1 + .08t)
(11424/5600) -1 = .08t
1.04/.08 = t = 13
Hector left his investment for 13 years.
12A+8W > 343 represents the number of minutes the robot filters air A and water W to filter more than 343 liters of air and water.
If the robot filters air for 20 minutes and water for 15 minutes, plugging A as 20 and W as 15, let us check if the equation is true or not.
Checking left side:
12A + 8W = 12(20) +8(15)
240+ 120 = 360
Checking right side: 343
12A+8W > 343
360>343
True.
So the robot meets the first expectation.
Let us check for second equation:
3A+4W < 49
Left side : 3A +4W = 3(20) +4(15) = 60 +60 =120
Right side is 49
comparing left and right side:
3A+4W < 49
120<49
False.
So the robot does not meet the second expectation.
Answer:
$10.80 (about $11)
<em>Brainliest, please!</em>
Step-by-step explanation:
20% = 0.2
+20% = x 1.2
1.5 x 1.2 = 1.8
1.8 x 6 = 10.8
<h2>
Answer:</h2>
<h2>
Explanation:</h2>
<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 
, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:
Finally, the height is:
