Answer:
- f(t) = 6000*1.03^t
- k = 0.0295588
Step-by-step explanation:
The formula for exponential growth can be written a couple of different ways. One I prefer uses the problem numbers directly:
population = (initial population) × (growth factor)^t
Here, the initial population is 6000, and the growth factor is 1+3% = 1.03. Then the function can be written as ...
f(t) = 6000·1.03^t
__
Another way to write the function is using the form ...
f(t) = (initial population) × e^(kt)
where k is the natural logarithm of the growth factor. In this form, we have ...
k = ln(1.03)
k ≈ 0.0295588
so the function would be written ...
f(t) = 6000·e^(0.0295588t)
Answer:
D and E
Step-by-step explanation:
Explanation is in photo
Answer: 132 handshakes in total
Step-by-step explanation: 11x12 because one of them will be the one shaking hands with everyone else so he would have gotten 11 hands shaked so everyone would have gotten their hands shaked 11 times
Answer:
3. D) 
2. D) 
1. B) 
Step-by-step explanation:
3.
{y = 3x + 7
{y = x - 9
x - 9 = 3x + 7
-3x - 3x
____________
−2x - 9 = 7
+ 9 + 9
__________
−2x = 16
____ __
−2 −2
[Plug this back into both equations above to get the y-coordinate of −17]; 
__________________________________________________________
2.
{−4x + 3y = 12
{−2x + 3y = −18
−½[−4x + 3y = 12]
{2x - 1½y = −6 >> New Equation
{−2x + 3y = −18
_______________
1½y = −24
____ ____
1½ 1½
[Plug this back into both equations above to get the x-coordinate of −15]; 
__________________________________________________________
1.
{−10x - 3y = −18
{−7x - 8y = 11
−⅜[−7x - 8y = 11]
{−10x - 3y = −18
{2⅝x + 3y = −4⅛ >> New Equation
_________________
−7⅜x = −22⅛
______ _____
−7⅜ −7⅜
[Plug this back into both equations above to get the y-coordinate of −4]; 
I am joyous to assist you anytime.
Answer:
the answer is 92.
Step-by-step explanation:
do 28 times 4, 28 for the days and 4 for the total laps each day.
