The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
A. Union Street
Hope This Helps!
Step 1:
In a sample of 380 randomly selected reservations, 19 were no-shows.
Step 2:
Proportion of no shows p<0.06.
Step 3:
Test Value
z(19/380)=0.05
Step 4:
Test statistics
a) 0.05-1.124=-1.074
b) 0.05-(-1.943) = 0.05+1.943=1.993
c)0.05-(-0.821)=0.05+0.821=0.871
d)0.05 - 0.222 = - 0.172
e)0.05 -(-1.571) = 0.05+1.571 = 1.621
The above data clearly mentions the test statistics associated with the given samples.
Answer:
f(x) = 6 when -5 < x ≤ -1
Step-by-step explanation:
<h2>For this example I am going to use Cape Coral-Fort Myers Florida which was the fastest growing city of 2017.
</h2><h2>As of January of 2000, the population of the city was 102,286, and as of January 1 of 2010, the population was 154,305; therefore, I'm going to examine a population growth over a period of 10 years.
</h2><h2>I am going to use the standard model for population growth:
</h2><h2>
</h2><h2>Where:
</h2><h2>= time (in years)
</h2><h2>= growth rate
</h2><h2>= initial population </h2><h2>= population after a time </h2><h2>
</h2><h2>Now, I'm going to replace the values in the equation to get :
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>Finally, I will multiply x by 100% to obtain 4% which the growing rate of Cape Coral-Fort Myers from 2000 to 2010.</h2>
