Answer: 12x5
Step-by-step explanation:
2 =1 5= 12x5
We want to see how much the population of goats grows each year. We will see that the correct option is c: 17%.
<h3>
Exponential growth of populations</h3>
We know that:
- The initial number of goats is 1,500.
- After 11 years, the population is 8,400.
The population can be modeled with an exponential equation as:
P(t) = A*(1 + r)^t
Where:
- A is the initial population.
- r is what we want to find, it depends on how much the population increases.
- t is the time in years.
So we have:
P(t) = 1500*(1 + r)^t
And we know that after 11 years the population is 8,400, so we have:
P(11) = 1500*(1 + r)^11 = 8400
Now we can solve this for r:
(1 + r)^11 = 8400/1500 = 5.6
(1 + r) = (5.6)^(1/11) = 1.17
r = 1.17 - 1 = 0.17
r = 0.17
To get it in percentage form, you just need to multiply it by 100%
0.17*100% = 17%
This means that the population increases a 17% each year, so the correct option is c.
If you want to learn more about exponential growth, you can read:
brainly.com/question/13223520
P(1)=1/6
P(1,1)=(1/6)(1/6)=1/36
Answer:
16/40
Step-by-step explanation:
The example probability is literally the probability determined FROM EXPERIMENTATION.
Since the "experiment" gave 16 successes out of 40 trials (16 heads + 24 tails), the E.P. is 16/40
Answer: (first half) Dylan= $10.5 per hour
Angela$10 per hour
(second half) No because they have different rate as the one before
Step-by-step explanation:
step one : divied how much money they make by the number of hours
Dylan
$336/32 hours = $10.5 per hour
Angela
$420/42 hours = $10 per hour
Step two: multiply the answer you got for Dylan by 25 hours and Angela by 42
Dylan
10.5 (25) = $262.5
Angela
10 (42)= 420
(Rates)
Dylan rate before = $336
Rate after solving = $262.5
Angela rate before = $420
Rate after solving = $420
i hope this helps ;)