1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lena [83]
2 years ago
10

In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent

Mathematics
1 answer:
BaLLatris [955]2 years ago
5 0

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.

You might be interested in
.......................................................
Maru [420]
Whats your question?
4 0
3 years ago
conjectures math statement 2(x^2+5)=60 what is the reason? 2x^2+10=60 what is the reason? 2x^2=50 what is the reason? x^2=25 wha
sveta [45]
2(x^2+5)=60 to 2x^2+10=60
distributive property (a(b+c)=ab+ac)

2x^2+10=60 to 2x^2=50
property of equality or something like thht (a=a and b=b, so a-b=a-b) and also
 addative inverse (a+-a=0) (added -10 to both sides)

2x^2=50 to x^2=25
propery of euality and multiplicative inverse (a times 1/a=1) and one produce property (1 times a=a)

x^2=25 to x=+/-5
property of equality and something else
3 0
3 years ago
Read 2 more answers
What is 0.58 as a fraction
zvonat [6]
0.58
= 58/100
= 29/50
7 0
3 years ago
Read 2 more answers
96 divided by 6 distributive property of multuiplication
ololo11 [35]

Do 96 divided by 6.

6 goes into 96 16 times. therefore, your answer is 16

6 0
3 years ago
Suppose 100 people all toss a hat into a box and then proceed to randomly pick out a hat. what is the expected number of people
tatuchka [14]
1 person because there is 1 in 100 chance that you get your hat back
4 0
3 years ago
Other questions:
  • Determine the 20th derivative of y = sin(2x).
    15·1 answer
  • The cube root of which of the following numbers is between 2 and 3? A. 30 B. 7 C. 12 D. 5
    12·1 answer
  • Which of the following expressions is in simplified form?
    6·2 answers
  • The axis of symmetry of the graph of y = -(x+4)2 -6 is
    5·1 answer
  • "How did you program your robot to move in a perfect triangle?" Arianna asks, sounding impressed. "It always comes back to exact
    11·2 answers
  • Calculate the distance between these points in the coordinate plane.
    7·1 answer
  • 12 more than m machines
    9·1 answer
  • What number is equal to 3 thousands+ 7 tens+ 5 ones
    15·2 answers
  • Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his incline skates 32 cm in circumference. How man
    14·2 answers
  • PLEASE HELP! if f(1) =6 and f(n) =f (n-1)+1 then find the value of f(6)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!