Answer:
Step-by-step explanation:
From the given information:
(a)
Since growth quantity is not continuous
![Q(t) = 150 (1.07)^t](https://tex.z-dn.net/?f=Q%28t%29%20%3D%20150%20%281.07%29%5Et)
For t = 10
![Q(10) = 150 (1.07)^{10}](https://tex.z-dn.net/?f=Q%2810%29%20%3D%20150%20%281.07%29%5E%7B10%7D)
![\mathbf{Q(10) = 295.073}](https://tex.z-dn.net/?f=%5Cmathbf%7BQ%2810%29%20%3D%20295.073%7D)
(b)
Here, for a continuous growth rate, the growth quantity can be computed in terms of initial quantity and the growth rate.
i.e.
![Q(t) = 150 e^{0.07t}](https://tex.z-dn.net/?f=Q%28t%29%20%3D%20150%20e%5E%7B0.07t%7D)
At t = 10 for a continuous growth rate;
![Q(10) = 150 e^{0.07 \times 10}](https://tex.z-dn.net/?f=Q%2810%29%20%3D%20150%20e%5E%7B0.07%20%20%5Ctimes%2010%7D)
![Q(10) = 150 e^{0.7}](https://tex.z-dn.net/?f=Q%2810%29%20%3D%20150%20e%5E%7B0.7%7D)
![\mathbf{Q(10) = 302.063}](https://tex.z-dn.net/?f=%5Cmathbf%7BQ%2810%29%20%3D%20302.063%7D)
5.1 in
Since the area of a square is s^2, you can take the square root of 26 to find the answer
Answer:
340 children, 210 adults.
Step-by-step explanation:
![Let \ a \ - adults, \ c - children;\\c + a = 450\\0.75c + 2a = 600|\cdot 4\\3c + 8a = 2400;\\\\c + a = 450|\cdot(-3)\\3c + 8a = 2400\\-3c -3a = -1350\\5a = 1050 => a = 210, c = 450 -210 = 340.](https://tex.z-dn.net/?f=Let%20%5C%20a%20%5C%20-%20adults%2C%20%5C%20c%20-%20children%3B%5C%5Cc%20%2B%20a%20%3D%20450%5C%5C0.75c%20%2B%202a%20%3D%20600%7C%5Ccdot%204%5C%5C3c%20%2B%208a%20%3D%202400%3B%5C%5C%5C%5Cc%20%2B%20a%20%3D%20450%7C%5Ccdot%28-3%29%5C%5C3c%20%2B%208a%20%3D%202400%5C%5C-3c%20-3a%20%3D%20-1350%5C%5C5a%20%3D%201050%20%3D%3E%20a%20%3D%20210%2C%20c%20%3D%20450%20-210%20%3D%20340.)
Answer:
the graph is a straight line through the origin
Answer:
answer a. Because 16^2=256
4^2+ 4/15^2=16.01
16.01<256 . Therefore, it is acute-angled acute