Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
Answer:
DE = 55
Step-by-step explanation:
As you can see from the red marks showing that the lengths of each triangle are the same, it must also be true that E is equal to 55.
(14,-1) is the answer to the question
Answer:

Step-by-step explanation:
we have a exponential function of the form

where
y is the population of bacteria
a is the initial value
r is the rate of growth
x is the number of hours
we have
a=3,000 bacteria

For x=2, y=3,300
substitute


Apply square root both sides




substitute in the equation


<u><em>Predict how many bacteria will be present after 16 hours</em></u>
For x=16 hours
substitute


If x=girls,
then we have 3x boys.
We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.
So there are 12 girls and 36 boys.