Answer: Hello there!
We know that the culture has 2000 bacteria initially (at t = 0 min), and it doubles when t = 40min, again at t = 80 min, and so on
And the rate of grouth is proportional to the population, then we can obtain an expression of the form:
P(t) = 2000*k(t) where k(t) is the factor that defines the growth of the population:
we know that:
p(0) = 2000*k(0) = 2000
p(40) = 2000*k(40) = 2000*2 = 4000
p(80) = 2000*k(80) = 2000*2*2 = 8000
etc
then we can see that k(t) = 2^(t/40)
where k(0) = 1, k(40) = 2, k(80) = 2*2, etc
then the function that models the population of the culture is:
p(t) = 2000*2^(t/40)
where t is in minutes.
Answer:
107.25cm²
Step-by-step explanation:
Area of triangle = 0.5 * base * height
Base = 14.3 cm
Height = 15 cm
Hence, Area of triangle :
Area = 0.5 * 14.3 * 15
Area = 107.25cm²
Answer:
She deposited dollars
Step-by-step explanation:
Given -
Rate of interest %
Rate of interest compounded quarterly
Time period years
Amount after years dollars
We shall use the following equation for solving this question
Where A is the final amount after time period t
P is the principal amount
r is the rate of interest
and t is the time period
Substituting the given values in above equation, we get -
She deposited dollars
Is
closer to 0 ,
or 1?
is half of
It is not 0 because it is over half
So that leaves
(Half) or 1 (
)
is
above
which is half (
while it is
from
so since
is less than
, then
is closer to
than 1
Answer:
is closer to
than 1
Answer:
x= 7
Step-by-step explanation:
The equation is 8+4= 2(x-1)
Distribute into the parenthesis.
8+4= 2x-2
Now, add.
12= 2x-2
Add 2 to both sides.
12= 2x-2
+2 +2
Then, divide by 2 to both sides to isolate the variable.
<u>14</u>= <u>2x</u>
2 2
x=7