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.
360 degrees in a circle divided by 5 is 72
Answer:
4 
km
Step-by-step explanation:
To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:
6 
However, we can only subtract fractions that have the same denominator, so we need to convert 
to a fraction with a denominator of 8:
Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:
Now subtract: 
N=25 because 20 divided by 4 is 5 which is 1/5 of n meaning 5x5 is 25
Answer:
Relative minimum : -36
Relative maximum : 64
The rate of change is 336 greater
Step-by-step explanation:
Relative minimum are the minimum values in the interval
Looking at the graph, we find the lowest point in the interval
Relative minimum : (-3, -36) and (3,-36) y value -36
Looking at the graph, we find the highest point in the interval
Relative maximum : (0,64) y value 64
Average rate of change = f(x2) - f(x1)
---------------
x2 - x1
f(7) - f(5) 1469 - 549 920
------------- = --------------- = ------- = 460
7-5 7-5 2
f(4) - f(2) 287 - 39 248
------------- = --------------- = ------- = 124
4-2 4-2 2
We need to subtract
460-124
336
