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.
Answer:
Angle R is 99 degree
Angle Y=48 degrees
Angle T is 33 degrees
Step-by-step explanation:
Let angle T be x
Angle R will be 3x
Angle Y will be x+15
Total=x+3x+x+15=5x+15
5x+15=180
5x=165
x=165/5=33
Therefore, angle T is 33 degrees, angle Y=15+33=48 degrees and angle R=33*3=99 degrees
A=future amount
P=present amount
r=rate in decimal
n=number of times per year compounded
t=time in years
given
P=455
r=4%=0.04
n=1
t=2
A=492.128
round
$492.13
3rd option
Answer:
5, 25, 45
Step-by-step explanation:
okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.
