Answer:
it's a whole number
Step-by-step explanation:
it's a whole number
A powerful way to find out is to solve the equation. Let's try that.
3 (d + 11) = 6 (d + 33)
Eliminate the parentheses: 3d + 33 = 6d + 198
Subtract 3d from each side: 33 = 3d + 198
Subtract 198 from each side: -165 = 3d
Divide each side by 3 : - 55 = d
There it is ... the solution to the original equation.
'd' has to be -55, otherwise the original equation isn't a true statement.
-55 is the ONLY number that 'd' can be. If you write in any other number
for 'd', the equation will be false.
For example, less see what the equation says when d=2 :
3(2 + 11) = 6(2 + 33)
3( 13 ) = 6( 35 )
39 = 210
Is that a true statement ? Is 39 equal to 210 ?
No. 39 and 210 are not equal. They are different.
So the equation is not true when d = 2 .
The equation is true ONLY when d = -55 .
The equation has exactly one solution.
Answer:
a) decay
b) 2,950,000
c) 0.025
d) 
e) 2,409,123
Step-by-step explanation:
<u>Part (a)</u>
Exponential DECAY, since the population was decreasing annually.
<u>Part (b)</u>
Initial amount = 2,950,000 people (in the year 2000)
<u>Part (c)</u>
Decay factor = 2.5% = 0.025 (in decimal form)
<u>Part (d)</u>
General form of exponential decay function:

where:
- a = initial amount
- r = rate of decay (in decimal form)
- x = time (in years)
Given:


<u>Part (e)</u>
To determine the city's population in 2008:

