A population of size P increasing at the rate of 2% may be modelled as follows
P = P0<span> e</span>0.02 t<span> , where t is the number of years after t = 0 and P</span>0<span> is the population at t = 0. </span>
Let t = 0 corresponds to January 1, 2000 and therefore t = 4 corresponds to December 31. But P is 2,000,000 when t = 4. Hence
2,000,000 = P0<span> e</span>0.02*4
<span>Solve the above for P0</span>
P0<span> = 2,000,000 / e</span>0.02*4<span> = 1 846 000 (rounded to the nearest thousand) </span>
<span>P0 is the population at t = 0 or on January 1, 2000.
A. is the correct answer</span>
Answer:
112
Step-by-step explanation:
A supplementary angle is 1 or more angles that add up to 180 degrees. So, the 2 angles we have are 2x and 3x + 10, and those add up to 180.
In order to make an equation for this, we need to add 2x and 3x + 10 and equal it to 180.
5x + 10 = 180
Now that we have our equation, the goal is to isolate the variable. The most immediate step I see is to subtract 10 from both sides so 5x will be alone on one side of the equation.
5x = 170
Now, to ultimately isolate the variable, we must divide both sides by 5 so that x will be alone.
170 / 5 is 34
5x / 5 is x
x = 34
Now, we plug in our value of x into 3x + 10 to find out what the measurement is equal to.
3(34) + 10 = y
102 + 10 = y
112 = y
3x + 10 is equal to 112.
You need to substitute the “r(x)” and the “c(x)” in the equation of “p(x)”
So you would have something like this after the substitution;
12x-5x-20
Then you need to do the subtraction of the “x”, and you would get something like this;
7x-20 (this is the answer)
It’s -33 my work is in the picture
Answer:
1
Step-by-step explanation:
4 times what equals 8? 2. whats 2 - 1? 1. so y = 1