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:
![P_f=P_o*(1+\frac{R}{100}) ^t](https://tex.z-dn.net/?f=P_f%3DP_o%2A%281%2B%5Cfrac%7BR%7D%7B100%7D%29%20%5Et)
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
![(100+R}) =30\\ \\ R=-100+30\\ \\ R=-70](https://tex.z-dn.net/?f=%28100%2BR%7D%29%20%3D30%5C%5C%20%5C%5C%20R%3D-100%2B30%5C%5C%20%5C%5C%20R%3D-70)
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
SOLUTION
From the sequence give
–3, 1, 5, 9, . . .
The first term, a = -3
The common difference, d = 4 (gotten by adding 4 to the next term).
The number of terms required n = 6.
Formula for sum of an arithmetic sequence is given by
![S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Clbrack2a%2B%28n-1%29d%5Crbrack)
Substituting these values into the equation above we have
![\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Clbrack2a%2B%28n-1%29d%5Crbrack%20%5C%5C%20S_6%3D%5Cfrac%7B6%7D%7B2%7D%5Clbrack2%5Ctimes-3%2B%286-1%294%5Crbrack%20%5C%5C%20S_6%3D3%5Clbrack-6%2B%285%294%5Crbrack%20%5C%5C%20S_6%3D3%5Clbrack-6%2B20%5Crbrack%20%5C%5C%20S_6%3D3%5Clbrack14%5Crbrack%20%5C%5C%20S_6%3D42%20%5Cend%7Bgathered%7D)
Hence, the answer is 42, option B
Answer:
The fraction of males who are smokers = 10/500 = 1/50
The fraction of females who are smokers = 40/403
The probability that both are smokers is the product of these two:
P(both) = (1/50)*(40/403) = (4/5)*(1/403)
Answer:
B James-Lange theory.........
Answer:
im really not to sure on this one. sorry dude
Step-by-step explanation: