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
an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are
Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

 In a triangle ABC. Please find the attachment for figure.

\angle A=70^{\circ}

\angle B=\angle C=55^{\circ}

Side BC=a = 10 in

Using sine law of trigonometry,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute the given value into formula.

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}

Cross multiply and we get

b=\sin 55\times \dfrac{10}{\sin 70}

b=8.72 in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0
3 years ago
FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST! MORE THAN ONE OPTION
dexar [7]
The tay would move to the left because that is a less than sign . positive goes to the right and negative goes to the left . thing of the less sign like a L bc it looks like one .
4 0
3 years ago
Read 2 more answers
Can someone help me​
marta [7]

Answer:

50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
They are offering a selection from 5 appetizers, 6 entrees, and 3 desserts. How many combinations of 1 of each are possible?
Katarina [22]

Answer:

90

Step-by-step explanation:

By Fundamental Counting Principle, there are 5*6*3 = 90 combinations possible.

6 0
3 years ago
-3y -9x =21. -18x +4y =32
Reil [10]

The value of x  is -2 and the value of y is -1.

Step-by-step explanation:

Step 1; The given equations are taken as

-3y -9x =21 or -9x -3y = 21, take this as equation 1

-18x +4y =32, take this as equation 2

Step 2; We multiply equation 1 with 2 and equation 2 with 1 so we can cancel out the variable x in both equations. By doing this we get

-18x -6y =42, take this as equation 3

-18x +4y =32, this is the same as equation 2

If we subtract 3 with 2, we cancel out the x variable and can calculate the value of y.

10y = -10 , y = -10/10 = -1

Step 3; Substituting this value of y in any of the previous equations we will get x's value. Here this value of y is substituted in equation 2.

-18x +4(-1) =32, -18x -4 = 32 , -18x = 36, x=-2.

So we have x = -2 and y = -1.

5 0
3 years ago
Other questions:
  • What angle in radians is subtended by an arc 1.50 m long on the circumference of a circle of radius 2.50 m? what is this angle i
    15·1 answer
  • (Essay Question 7 Points)
    8·1 answer
  • A drug testing company advertises a test for steroids that is 92.1% effective at detecting steroid use. It has a true negative e
    10·2 answers
  • Find negative square root of 49.
    14·2 answers
  • Y + 1/2 = 7/10 solve for y
    14·2 answers
  • HELP!! Algebra help!! Will give stars thank u so much <333
    7·1 answer
  • A skirt originally cost $10. How much will it cost if you sell it in Amazon with 25% mark-up price
    7·1 answer
  • A particle moves along a line with a velocity v(t)=t2−t−6, measured in meters per second. Find the total distance the particle t
    7·1 answer
  • 50 POINTS !!<br><br><br> PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
    6·2 answers
  • Plss help mart brain list
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!