The formula below gives T, the approximate time in years it takes a population to double if the annual growth rate is r percent.
1 answer:
You might be interested in
Answer:
a₈ = 37
Step-by-step explanation:
The given arithmetic sequence is: 3, 8, 13, 18, 23, . . .
The recursive formula for the sequence is:
Here, represents the
of the sequence.
And, represents the
of the sequence.
'+5' denotes that '5' is added to the term to get the
term. In other words, the difference between two consecutive numbers in the sequence is 5.
Now, we are asked to find a₈ i.e., n =8.
Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.
So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.
⇒ a₆ = 23 + 5 = 28.
⇒ a₇ = 28 + 5 = 32.
⇒ a₈ = 32 + 5 = 37.
Therefore, the term of the sequence is 37.
Answer:
The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Mean of the Population = 1900
Given random sample size 'n' = 45
Mean of the sample x⁻ = 1000
Standard deviation of the sample = 225
<u><em>Null Hypothesis</em></u>:-
There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.
<u><em>Alternative Hypothesis</em></u> :-
There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012
<u><em>Step(ii</em></u>):-
Test statistic
t = -900 /33.54 = -26.517
|t| = |-26.517|=26.517
Degrees of freedom
γ = n-1 = 45-1 =44
t₍₀.₀₁ , ₄₄₎ = 2.326
The calculated |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance
Null hypothesis is rejected at 0.01 level of significance
There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012