The answer is 1,109,668 .
here is why:
18+ 1,500 is 1,518
1,518 + 150 is 1,668.
1,668+ 8,000 is 9,668
9,668 + 11,00,000 is 1,109,668
18 ones is 18. 15 hundreds is 1,500. 15 tens is 150. 8 thousands is 8,000. 11 hundred thousands is 1,100,000.
Answer:
- Decay rate, r = 0.014
- Initial Amount =120,000
![P(t)=120000(0.986)^t](https://tex.z-dn.net/?f=P%28t%29%3D120000%280.986%29%5Et)
- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:
![P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time](https://tex.z-dn.net/?f=P%28t%29%3DP_0%281%20%5Cpm%20r%29%5Et%2C%20where%3A%5C%5CP_0%24%20is%20the%20Initial%20Population%5C%5Cr%20is%20the%20growth%2Fdecay%20rate%5C%5Ct%20is%20time)
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:
![P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t](https://tex.z-dn.net/?f=P%28t%29%3D120000%281%20-%200.014%29%5Et%5C%5CP%28t%29%3D120000%280.986%29%5Et)
When t=10 years
![P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)](https://tex.z-dn.net/?f=P%2810%29%3D120000%280.986%29%5E10%5C%5C%3D104219.8%5C%5C%5Capprox%20104220%20%24%20%28to%20the%20nearest%20whole%20number%29)
Step-by-step explanation:
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Answer:
x = 30
Step-by-step explanation:
m<E = [m(arc)AD - m(arc)BC]/2
50 = (130 - x)/2
100 = 130 - x
-x = -30
x = 30