The function that models exponential growth is:
P(t) = P0*(1 + r)^t, where
P0 = P(0) is the initial value of P
r is the growth rate as a decimal
In our case we have:
P(0) = 2800
r = 0.035 or 3.5%
P(t) = 2800*(1 + 0.035)^t
P(t) = 2800*(1.035)^t
The same exponential function written using y and t is:
y = 2800*1.035^t.
Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
Cosine is
.
Apply the equation:

B is the adjacent side so
cosine is:
Cos(t) = 5/2
Have a great day,
And I hope this helps you!
Answer:
D=(-3,3)
E=(5,0)
F=(2,-2)
Step-by-step explanation:
The coordinates are stated as =(x,y)
Answer:
Lisa's team have played 24 home games and 25 away games.
Step-by-step explanation:
Given:
Let
represents games played at home.
also
represent games played away.
Total number of games played = 49
∴ 
Now according to given data:
Number of home games won = 
Number of away game won = 
Total games won =26
Hence

Now multiplying equation 1 by 3 we get,

Now Subtracting equation 2 by equation 3 we get,

Substituting value of x in equation 1 we get.

Hence Lisa's team have played 24 home games and 25 away games.