Answer:
the practice of analysing and describing a complex phenomenon in terms of its simple or fundamental constituents, especially when this is said to provide a sufficient explanation
Answer:
The population of the students at the University after 5 years is <u>442</u>.
Step-by-step explanation:
Given:
Current population of students is, ![P_o=400](https://tex.z-dn.net/?f=P_o%3D400)
Growth rate is, ![r=0.02](https://tex.z-dn.net/?f=r%3D0.02)
Time after which population is needed is, ![t=5\ years](https://tex.z-dn.net/?f=t%3D5%5C%20years)
Let 'P' be the population after 't' years.
Population growth is an exponential growth and the equation to determine the population after 't' years is given as:
![P=P_oe^{rt}](https://tex.z-dn.net/?f=P%3DP_oe%5E%7Brt%7D)
Now, plug in 400 for
, 0.02 for 'r', 5 for 't' and solve for 'P'. This gives,
![P=(400)e^{0.02\times 5}\\\\P=400\times e^{0.1}\\\\P=400\times 1.1052\\\\P=442](https://tex.z-dn.net/?f=P%3D%28400%29e%5E%7B0.02%5Ctimes%205%7D%5C%5C%5C%5CP%3D400%5Ctimes%20e%5E%7B0.1%7D%5C%5C%5C%5CP%3D400%5Ctimes%201.1052%5C%5C%5C%5CP%3D442)
Therefore, the population of the students at the University after 5 years is 442.
Answer:
I think the answer will be x⩽4
Answer:
The area = 30 units²
Step-by-step explanation:
∵ A (-4 , 1) and (2 , 1)
∴ AB is a horizontal segment (same y-coordinates)
∴ AB = 2 - -4 = 6 units
∵ B (2 , 1) and C (2 , -5)
∴ BC is a vertical segment (same x-coordinates)
∴ AB ⊥ BC
∴ BC = 1 - -5 = 6 units
∵ A (-4 , 1) and D (-4 , -3)
∴ AD is a vertical segment
∴ AD ⊥ AB
∴ AD // BC
∴ AD = 1 - -3 = 4 units
∴ ABCD is trapezium with parallel bases AD , BC and height AB
∵ ![A=\frac{b_{1}+b_{2}}{2}h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bb_%7B1%7D%2Bb_%7B2%7D%7D%7B2%7Dh)
∴
units²