Answer:
C
Step-by-step explanation: 24x 786 is really 18,864
Answer:
a
Step-by-step explanation:
simple mat h
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
Admission price for an adult ticket and a student is $14 & $6 respectively .
<u>Step-by-step explanation:</u>
Here we have , A group who of 3 adults and 10 students paid $102 for a cavern tour. Another group of 3 adult and 7 students paid $84 for the tour .
Linear equation for statement A group who of 3 adults and 10 students paid $102 for a cavern tour:
⇒ 
, where x is price of adult ticket & y of students .
Linear equation for statement Another group of 3 adult and 7 students paid $84 for the tour :
⇒ 
, where x is price of adult ticket & y of students .
subtracting both linear equation we get:
⇒ 
⇒ 
⇒ 
Putting value of y in equation :
⇒
⇒ 
⇒ 
⇒ 
∴ Admission price for an adult ticket and a student is $14 & $6 respectively .
Answer:
angle V + Angle W = angle U
angle VUF is equal to 94 degrees
Step-by-step explanation:
