Answer:
Here, K represents the current age of Katie and T represents the current age of Thomas.
(a)
As per the statement:
Katie is currently twice the age of Thomas.
⇒
......[1]
It is also given that in 6 years Katie will be 4 times Thomas's current age.


Subtract 6 from both sides we get;
......[2]
A system of equations that describe the situation is:


(b)
To find the solution:
equate [1] and [2] we have;

Subtract 2T from both sides we have;

Add 6 to both sides we get;

Divide both sides by 2 we have;
T = 3 years
Substitute this in equation [1] we get;
K = 2(3) = 6 years.
Therefore, the current age of Katie and Thomas are 6 years and 3 years.
Answer:
Addition = 3656999
Step-by-step explanation:
Predecessor of number = (Number - 1)
Predecessor of 365000 = 365000 - 1
= 364999
Successor of a number = (Number + 1)
Successor of 3291999 = 3291999 + 1
= 3292000
Now we have have to add the predecessor of 365000 and successor of 3291999,
364999 + 3292000 = 3656999
In other words addition of predecessor of any number and successor of other number will be same as the sum of both the numbers.
Answer:

Step-by-step explanation:
Answer:
lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○
Option C:
is the predicted population when 
Explanation:
The regression equation for an exponential data is 
Where x is the number of years and
y is the population
We need to determine the predicted population when 
The population x can be determined by substituting
in the equation 
Thus, we have,



Using the logarithmic definition
then 


Rounding off to the nearest whole number, we get,

Thus, the predicted population when
is 316
Hence, Option C is the correct answer.