Answer:
831.1 million
Step-by-step explanation:
If the exponential model describes the population after 2003 and we must determine the population of the country in 2003 then t=0 because the time only starts after 2003:
e to the power of 0 is equal to 1:
The population in 2003 is 831.1 million
Let's solve your equation step-by-step.
<span><span><span><span>x2</span>+4</span>+32</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 1: Simplify both sides of the equation.
<span><span><span>x2</span>+36</span>=<span><span>12<span>x2</span></span>+48
</span></span>Step 2: Subtract 12x^2+48 from both sides.
<span><span><span><span>x2</span>+36</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)</span></span>=<span><span><span>12<span>x2</span></span>+48</span>−<span>(<span><span>12<span>x2</span></span>+48</span>)
</span></span></span><span><span><span>−<span>11<span>x2</span></span></span>−12</span>=0
</span>Step 3: Use quadratic formula with a=-11, b=0, c=-12.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a
</span></span></span><span>x=<span><span><span>−<span>(0)</span></span>±<span>√<span><span><span>(0)</span>2</span>−<span><span>4<span>(<span>−11</span>)</span></span><span>(<span>−12</span>)</span></span></span></span></span><span>2<span>(<span>−11</span>)
</span></span></span></span><span>x=<span><span>0±<span>√<span>−528</span></span></span><span>−<span>22
Hopefully this helps!
</span></span></span></span>
Answer:
1.y-intercepts (0,8)
2.Domain: (-∞,∞),{x/x ∈R}
Range: (-∞,∞),{y/y ∈R}
Step-by-step explanation:
Answer:
The population of the city in 2020 is 3,839,832
Step-by-step explanation:
Given:
Population at 2000 = 315,000
Rate at which the population increases = 2%
To Find:
The Population in the city after 2020 = ?
Solution:
The population in the city after 2020 can be found by using Exponential growth function.
Exponential growth occurs when a quantity increases by the same factor
Exponential growth function is 
Where
y is the final amount
a is the initial amount
r is the rate of increase
t is the time period.
Now substituting the values ,
In 2020 i.e., after 10 years
y = 3,839,832.42
Answer:
10
Step-by-step explanation:
We can write the equation 38=4y-2 because LZ and DO are equivalent
Isolate x:
38=4y-2
38+2=4y-2+2 (add 2, addition property of equality)
40=4y
40/4=4y/4 (divide by 4, division property of equality)
10=y
