Answer:
1,474,951.
Step-by-step explanation:
Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.
![P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years](https://tex.z-dn.net/?f=P%28t%29%3DP_o%281%2Br%29%5Et%2C%24%20where%20%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Blll%7DP_o%3D%24Initial%20Population%5C%5Cr%24%3DGrowth%20rate%5C%5C%24t%3Dtime%20%28in%20years%29%5Cend%7Barray%7D%5Cright%5C%5CP_o%3D919%2C716%5C%5Cr%3D3.7%5C%25%3D0.037%5C%5C%24t%3D13%20years)
Therefore, the population of the city in 13 years time will be:
![P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951](https://tex.z-dn.net/?f=P%28t%29%3D919%2C716%281%2B0.037%29%5E%7B13%7D%5C%5C%5C%5C%3D919%2C716%281.037%29%5E%7B13%7D%5C%5C%5C%5C%3D1%2C474%2C950.9%5C%5C%5C%5C%5Capprox%201%2C474%2C951)
The population be at that time will be approximately 1,474,951.
Answer : the answer is 5 people per T-shirt
Step-by-step explanation: because its 5 people per 1 T-shirt
The constants, -3 and -8, are like terms
The terms 3p and p are like terms
The terms in the expression are p^2, -3, 3p, -8, p, p^3
The expression contains 6 terms.
Like terms have the same variables raised to the same powers.
Let gradient of original line = m = 1/6
Gradient of line perpendicular to this = -1/m = -6
(Gradient = slope)
Answer: 103, 104, 105, and 106
Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.
First represent your 4 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
Since their sum is 418, our equation reads
x + (x + 1) + (x + 2) + (x + 3) = 418.
Simplifying on the left side we get 4x + 6 = 418.
Now we can subtract 6 from both sides of the equation and we have
4x = 412.
Now just divide both sides by 4 and we find that <em>x = 103</em>.
Finally, make sure you list all your answers.
If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106
Therefore, our 3 consecutive integers are 103, 104, 105, and 106.