Answer:
In bold below.
Step-by-step explanation:
a) Arithmetic sequence with common difference 3 and first term = 2:
nth term = 2 + 3(n - 1)
= 3n -1.
b) Similar to above with common difference 2 and first term = 9.
nth term = 9 + 2(n - 1)
= 2n + 7.
The function represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
<h3>Population Growth Equation</h3>
The formula for the Population Growth Equation is:
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
, then
Pf=y
Po= 1
, thus
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
brainly.com/question/8935549
Answer:
B. SAS
Step-by-step explanation:
In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.
Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.