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
soldi70 [24.7K]
3 years ago
12

Starting in the year 2012, the number of speeding tickets issued each year in Middletown is predicted to grow according to an ex

ponential growth model. During the year 2012, Middletown issued 200 speeding tickets ( P 0 = 200 ). Every year thereafter, the number of speeding tickets issued is predicted to grow by 15%. If P n denotes the predicted number of speeding tickets during the year 2012 + n , then Write the recursive formula for P n P n = × P n − 1 Write the explicit formula for P n P n = If this trend continues, how many speeding tickets are predicted to be issued in 2025?
Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

Recursive formula:

P_{n} = (1.15)P_{n-1}

P(0) = 200

1070 speeding tickets are predicted to be issued in 2025

Step-by-step explanation:

The number of speeding tickets in an year, in function of the number in the previous year, can be given by the following formula:

P_{n} = (1+r)P_{n-1}

In which P_{n-1} is the number of tickets issued in the previous year and r is the rate the number of tickets increase.

Every year thereafter, the number of speeding tickets issued is predicted to grow by 15%

So r = 0.15 and

P_{n} = (1.15)P_{n-1}

During the year 2012, Middletown issued 200 speeding

So P(0) = 200.

Then the recursive formula is:

P_{n} = (1.15)P_{n-1}

P(0) = 200

Write the explicit formula for P n P n = If this trend continues, how many speeding tickets are predicted to be issued in 2025?

2025 is 13 years after 2012.

So this is P(12).

We can expend the equation in the following format

P(12) = (1.15)^{12}P(0) = (1.15)^{12}*200 = 1070

1070 speeding tickets are predicted to be issued in 2025

You might be interested in
I need help ASAP!!!Please explain the answer
Stells [14]

Answer:

The formula for area is length times width.

it's 8m long, and 6m wide. When we multiply it, we get 48m that is for one side of the cube, so we count how many sides there is. There's 6, so we multiply 6 times 48 and the complete surface area for the whole cube is 288m

4 0
2 years ago
1) Has zeros at -2 and 4, both being double roots<br><br> 2) As x→∞, y→−∞
irina1246 [14]
-(x+2)^2(x-4)^2

Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4

If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.

The negative in front flips the function over the x-axis and holds true to the given limit.
3 0
2 years ago
Find the length of each trapezoid.
Dmitry [639]

Answer:

ghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Given f (x) = -3x + 4, solve for x when f (x) = 1
Solnce55 [7]

Answer:

1

Step-by-step explanation:

8 0
2 years ago
What is the slope of this line?
dalvyx [7]

\bf 6x-2y+22 = 0\implies 6x-2y=-22\implies -2y=-6x-22 \\\\\\ y=\cfrac{-6x-22}{-2}\implies y = \cfrac{-6x}{-2}-\cfrac{22}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{3}x+11\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

6 0
2 years ago
Other questions:
  • ❗️Please help BIG POINTS❗️
    10·1 answer
  • A linear equation has more than one intercept. what can you conclude about the graph of the equation?
    12·1 answer
  • Solve for h. 6.51 - 9.32 + h = 1.02 Enter your answer as a decimal in the box. h=
    13·1 answer
  • Simplify the expression.
    11·1 answer
  • Exponential form of 16807
    6·2 answers
  • The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate
    13·1 answer
  • In a certain college, 37% of the physics majors belong to ethnic minorities. Find the probability that, from a random sample of
    11·1 answer
  • What are the solution's of x2-4=0
    6·1 answer
  • An airplane 40,000 feet above the ground begins descending at a rate of 1,500 feet per minute. Write an equation to model the si
    9·1 answer
  • Follow the steps to finish solving the equation -3x +18 = 7x
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!