Answer:
450 minutes
Step-by-step explanation:
Given
w = 45000 - 100t
Required
Determine how long it'll take to empty the pool
Being empty means there's no water in the pool.
So, we have to set w to 0 to get the value of t
i.e w = 0
Substitute 0 for w in w = 45000 - 100t
0 = 45000 - 100t
Collect Like Terms
100t = 45000
Divide through by 100.
t = 450
Hence, it'll take 450 minutes to empty the pool
The interest rate on her account would be 38.4%.
If we use the simple interest formula I=PrT, the principle (P) would be 6000. Assuming that it is based on annual interest, the time (t) would be 1/12. Then, you multiply 6000 by 1/12 to get 500. Finally you divide 192/500 and then multiply by 100.
If the time is based on monthly payments, then do the same thing, except multiply 6000 by 1
Options are:
Impossible
Certain
Likely
Unlikely
Answer:
Unlikely
Step-by-step explanation:
A ferry is a large ship that carries passengers and loads on water.
A ferry rarely sinks. Infact, the United States experience very low cases of shipwreck yearly. According to wikipedia in 2018, not more than 200 shipwrecks happened all over the world compared to a great number of operations that year.
Therefore, based on statistics, the ferry is unlikely to sink.
Answer:
![\frac{1}{15} x](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B15%7D%20x)
Step-by-step explanation:
![\frac{7x}{20} - \frac{5x}{12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7x%7D%7B20%7D%20%20-%20%20%5Cfrac%7B5x%7D%7B12%7D%20)
![\frac{3 \times 7x}{3 \times 20} - \frac{5 \times 5x}{5 \times 12}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%20%5Ctimes%207x%7D%7B3%20%5Ctimes%2020%7D%20%20-%20%20%5Cfrac%7B5%20%5Ctimes%205x%7D%7B5%20%5Ctimes%2012%7D%20)
![\frac{21x}{60} - \frac{25x}{60}](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%7D%7B60%7D%20%20-%20%20%5Cfrac%7B25x%7D%7B60%7D%20)
![\frac{21x - 25x}{60} = (21 - 25)x = - 4x](https://tex.z-dn.net/?f=%20%5Cfrac%7B21x%20-%2025x%7D%7B60%7D%20%20%3D%20%2821%20-%2025%29x%20%3D%20%20-%204x)
![\frac{ - 4x}{60} = - \frac{ x}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%204x%7D%7B60%7D%20%20%3D%20%20-%20%20%5Cfrac%7B%20x%7D%7B15%7D%20)
![\boxed{\green{= \frac{1}{15} x}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cgreen%7B%3D%20%20%5Cfrac%7B1%7D%7B15%7D%20x%7D%7D)
Answer
B)![(x-5)^{2} + y^{2} = 9](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%209)
Step by step explanation
The standard form of circle when center(h, k) and radius r, given is
(x - h)^2 + (y - k)^2 = r^2
Given: (h, k) = (5, 0) and r = 3
Now plug in these values in the standard form, we get
(x - 5)^2 + (y - 0)^2 = 3^2
![(x- 5)^{2} + y^{2} = 9](https://tex.z-dn.net/?f=%28x-%205%29%5E%7B2%7D%20%2B%20y%5E%7B2%7D%20%3D%209)
Therefore, the answer is B) ![(x-5)^{2} + y^{2} = 9](https://tex.z-dn.net/?f=%28x-5%29%5E%7B2%7D%20%20%2B%20y%5E%7B2%7D%20%3D%209)
Thank you :)