Answer:
680,000
Step-by-step explanation:
Population before growing rate: 400,000
Growing rate: 7%
Duration: 10 years
___
First, you will have to calculate how much does the population increase each year with the said rate, so you will have to multiply the rate by the population to determine that amount.
400,000 x 7/100 = 28,000
So the population increases by 28,000 each year, now you will have to multiply that amount by the amount of years to determine how much the amount of increase.
28,000 x 10 = 280,000
This means that the population has increased by 280,000 in these 10 years. Finally, you will have to add that number to the population amount to get the answer.
400,000 + 280,000 = 680,000
Answer:
y = 3x
Step-by-step explanation:
Answer:
<u>PQ = 54</u>
Step-by-step explanation:
The rest of the question is the attached figure.
As shown:
triangle RPQ is similar to triangle RTS.
So, the corresponding sides are in proportion.
![\frac{PQ}{TS}= \frac{RP}{RT}](https://tex.z-dn.net/?f=%5Cfrac%7BPQ%7D%7BTS%7D%3D%20%5Cfrac%7BRP%7D%7BRT%7D)
From the figure:
TS = 36 , RP = 42 AND RT = 28
∴ ![\frac{PQ}{36} = \frac{42}{28} \\](https://tex.z-dn.net/?f=%5Cfrac%7BPQ%7D%7B36%7D%20%3D%20%5Cfrac%7B42%7D%7B28%7D%20%5C%5C)
∴ PQ = 36 * 42/28 = 54
<u>So, the distance between P and Q = 54</u>
9 hours because 8 x 3 = 24 and 3 x 3 = 9
Answer:
or ![x=4](https://tex.z-dn.net/?f=x%3D4)
Step-by-step explanation:
the given function is;
![f(x)=x^3-9x^2+26x-24](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-9x%5E2%2B26x-24)
According to the rational roots theorem, the possible rational roots are;
.
According to the Remainder Theorem, if
, then
is a zero of the polynomial.
![f(3)=3^3-9(3)^2+26(3)-24](https://tex.z-dn.net/?f=f%283%29%3D3%5E3-9%283%29%5E2%2B26%283%29-24)
![f(3)=27-81+78-24](https://tex.z-dn.net/?f=f%283%29%3D27-81%2B78-24)
![f(3)=24-24=0](https://tex.z-dn.net/?f=f%283%29%3D24-24%3D0)
Also,
![f(4)=4^3-9(4)^2+26(4)-24](https://tex.z-dn.net/?f=f%284%29%3D4%5E3-9%284%29%5E2%2B26%284%29-24)
![f(4)=64-144+104-24](https://tex.z-dn.net/?f=f%284%29%3D64-144%2B104-24)
![f(4)=64-64=0](https://tex.z-dn.net/?f=f%284%29%3D64-64%3D0)
Therefore the other roots are;
![x=3,x=4](https://tex.z-dn.net/?f=x%3D3%2Cx%3D4)