<span>Krystal's rate = 1 floor in 16 min. = 1/16 floors per min.
Working together their rate = 1 floor in 5.76 min. = 1/5.76 floors per min.
We need to determine Perry's rate, so we need to equate their combined rate with the sum of the individual rates.
Let Perry's time = x
In equation form, we can write:
1/16 + 1/x = 1/5.76
Solve for x:
(x+16)/16x = 1/5.76 -> 5.76(x+16) = 16x -> 10.24x = 92.16 -> x = 9
So, Perry would take 9 mins. to do the floor alone.
I hope this helped!
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Answer:
8/12 and higher. To ensure an accurate answer, are there other fractions to compare "7/12" to?
Step-by-step explanation:
Answer: Hello there!
this type of equations in one dimension (when all the factors are constants) are written as:
h = initial position + initial velocity*t + (acceleration/2)*t^2
First, let's describe the hunter's equation:
We know that Graham moves with a velocity of 1.5 ft/s, and when he is 18 ft above the ground, Hunter throws the ball, and because Graham is pulled with a cable, he is not affected by gravity.
If we define t= 0 when Graham is 18 ft above the ground, the equation for Graham height (in feet) is:
h = 18 + 1.5t
where t in seconds.
Now, the equation for the ball:
We know that at t= 0, the ball is thrown from an initial distance of 5ft, with an initial velocity of 24ft/s and is affected by gravity acceleration g, where g is equal to: 32.2 ft/s (notice that the gravity pulls the ball downwards, so it will have a negative sign)
the equation for the ball is:
h = 5 + 24t - (32.2/2)t^2 = 5 + 24t - 16.1t^2
So the system is:
h = 18 + 1.5t
h = 5 +24t - 16.1t^2
so the right answer is A
Answer:
$13,082.60 more
Step-by-step explanation:
Melanie:
![A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36](https://tex.z-dn.net/?f=A%3DP%281%2B%5Cfrac%7Br%7D%7Bn%7D%29%5E%2820%29%5C%5C%20A%3D9800%281%2B%5Cfrac%7B.045%7D%7B4%7D%29%5E%2820%29%5C%5CA%3D%2412%2C257.36)
Amelia:
![A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95](https://tex.z-dn.net/?f=A%3DPe%5E%28rt%29%5C%5CA%3D9800e%5E%28.0475%2A20%29%5C%5CA%3D%2425%2C339.95)
Amelia-Melanie= $13,082.60
2 .............:)
Good luck