The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?

Answers

Answer 1

The percentage change in the number of burglaries over the two-year period is 35% .

The change in burglaries over the two-year period to have  a 40% increase is 6.7%.

Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.

The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350

The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%

In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used

(x - 1000) / 1000 = 0.40

x - 1000 = 400

x = 1400

The change in burglaries over the two-year period to have  a 40% increase = (1400 / 1500) - 1 = 6.7%

To learn more, please check: https://brainly.com/question/9350849


Related Questions

all graphs range from -10 through 10 ;)​

Answers

Answer:B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

First, we want to find out what is X.

               3x = -6 --->  x = -2

X is -2 so we want the graph point to start at -2 and from there go down to -10.

Use the drop-down menus to complete each statement to show why 5sqrt(7) is between 10 and 15.

Answers

Answer:

First drop down: √4 and √9

Second drop down: 2 and 3

Third drop down: 10 and 15

Step-by-step explanation:

the root of four is 2

the root of nine is 3

thus √ 7 is between 2 and 3

5√7 is between 10 and 15 because 2x5 is 10 and 3x5 is 15.

100 points! show work or else i report

A certain microwave requires 1200 watts. How much would it cost to run the microwave for a total of 30 minutes (defrosting chicken) at a cost of $0.20 per kilowatt hour?

Answers

[tex]\boxed{\sf E=Pt}[/tex]

E is energy

P is power

t is time in hours

E=1200(0.5h)E=600WhE=0.6Kwh

Cost

0.6(0.2)$0.12

Answer:

$0.12

Step-by-step explanation:

Conversions

  1000 watts = 1 kilowatt-hour
  ⇒ 1200 watts = 1.2 kilowatt-hour

  60 minutes = 1 hour
  ⇒ 30 minutes = 0.5 hour

A microwave requiring 1200 watts will use 1.2 kilowatts per hour.

If the microwave is used for a total of 30 minutes, it will use:

⇒ 1.2 × 0.5 =  0.6 kWh

If the cost is $0.20 per kWh, the cost of running the 1200 watt microwave for 30 minutes is:

⇒ 0.6 × $0.20 = $0.12

A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?

Answers

Answer:

50 hours

Step-by-step explanation:

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?

Answers

Answer:

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial.

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

When cubes are added or subtracted, they can be expressed using the following

Determine the probability of selecting a two-child family with one boy and one girl assuming boys and girls are equally likely

Answers

Using the binomial distribution, it is found that there is a 0.5 = 50% probability of selecting a two-child family with one boy and one girl.

For each child, there are only two possible outcomes, either it is a boy, or it is a girl. The probability of a child being a boy or being a girl is independent of any other child, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

Two children, hence [tex]n = 2[/tex].Equally as likely to be a boy or a girl, hence [tex]p = 0.5[/tex].

The probability of one of each is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{2,1}.(0.5)^{1}.(0.5)^{1} = 0.5[/tex]

0.5 = 50% probability of selecting a two-child family with one boy and one girl.

A similar problem is given at https://brainly.com/question/24863377

when randy started his job he earned $8.00 per hour now he makes $450 for working a 40-hour week how much more does he earn per hour than he did when he started

Answers

Answer:

3.25?

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

He now earns:

450/40 = 11.25 dollars per hour.

So he gets 11.25 - 8

= 3.25 dollars more.

685,327 round to the nearest thousand

Answers

Answer:

685,000

Step-by-step explanation:

Answer:

685327.000

 

Step-by-step explanation:

The triangle is to be reduced by a ratio of 1:2.
a

Answers

Answer:

where is the triangle?

Step-by-step explanation:

Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.

Answers

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60

Lillian misses 10% of the free throws she attempts in a season. How many total free
throws did she attempt if she missed 51
help fast

Answers

Answer:

510

Step-by-step explanation:

10/100 = 51

10*10/100 = 51*10

100/100 = 510

thanks in advance big boys​

Answers

Answer:

The answer is sides are congruent by the reflexive property

Step-by-step explanation:

The answer is sides are congruent by the reflexive property because the two red lines on the triangles represnt that they are congruent. The reason teh fourth one can be a correct answer, but it is not, is because the angles are not vertical. The angles would hav eto be in teh middle of the triangle and congruent, to be right. So it is a reflexive property.

Sorry for any gramatical or spelling mistakes!

Write an equation in point-slope form of the line that passes through the point (4,−9) and has a slope of 6.

The equation is y−

Answers

Answer:

Step-by-step explanation:

Okay, so the point-slope form is  

(y - y1) = m(x - x1)  

Where m = the slope of the line

and where (x1, y1) is a point on the line

So, if the slope is 6, then m = 6

Now, you plug that and the point (4, -9) into the equation above.

(y -(-9)) = 6(x - 4)

y + 9 = 6(x - 4)

This is the point slope form of the line

What property is illustrated by the statement? 5(- 7 10 )=(- 7 10 )5 A) Commutative Property of Multiplication B) Commutative Property of Addition C) Associative Property of Multiplication D) Associative Property of Addition

Answers

Answer:

commutative property of multiplication

Step-by-step explanation:

Name the property used: commutative property of multiplication

Answer: commutative property of multiplication

Of 90 gallons of water the average person uses each day, 30% is used outdoors. Mason wants to know how much water is used outdoors. How much water is used outdoors.

Answers

Answer:

The Awnser is 27 for both I did that I-ready before

Step-by-step explanation:

Answer:

27 for both blanks

Step-by-step explanation:

I just did it on iready and I got it correct

HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...

Answers

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

I need help for these 5 questions​

Answers

Answer:

1. 6²=36

2. 289[tex]\frac{1}{2}[/tex] = 17

3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]

4. 10³=1000

5. [tex]5^{4}[/tex]=625

Step-by-step explanation:

Answer:

1. 6² = 36

2. 289^1/2 = 17

3. 14^-2 = 1/196

4. 10³ = 1000

5. 5⁴ = 625

Step-by-step explanation:

I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").

please help!

15 - (-20)

Answers

I think it should be 35
35, the two negatives cancel out if they are next to each other, making it a plus sign instead, so its 15 + 20 = 35

What is the equation of this graphed line?



Enter your answer in slope-intercept form

Answers

Answer:

Step-by-step explanation:

slope m = Δy/Δx = (6 - (-6)) / (2 - (-4)) = 12/6 = 2

b is the y intercept when x = 0.

b = 2

y = 2x + 2

Kevin Went for a drive in his new car. He drove at a speed of 56 miles per hour for 358.4 miles. for how many hours did he drive?​

Answers

Answer:

Kevin Drove For 6 Hours and 40 Minutes

Step-by-step explanation:

56 times 6.4 Equals 358.4

Convert it into miles 56MI X 6.4(HR) = 358.4MI

Calculate the average of these values: 38, 48, 58, 68?​

Answers

Answer:

53 is the average value.

Step-by-step explanation:

To find the average, or mean of multiple values you first add them all up:

38+48+58+68=212

Then you count how many different numbers there are, (there are 4 numbers here, if there are 2 of the same numbers you still count them both, just so you understand).

Then you need to divide the total you got, 212, by the total amount of numbers, 4, to get the average amount, 53.

I hope that my answer has helped you, have a great day, ask any questions you have below.

Two air ducts together remove 525 cubic feet of air per minute. The larger duct removes 45 cubic feet of air less than twice the amount of air removed by the smaller duct. How many cubic feet of air per minute are removed by each duct?

Answers

Answer:

I don't know

Step-by-step explanation:

The smaller duct removes 190 cubic feet of air per minute and the larger duct removes 335 cubic feet of air per minute.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Let's assume that the smaller duct removes 'x' cubic feet of air per minute.

So, The larger duct removes (2x - 45) cubic feet of air per minute.

x + (2x - 45) = 525.

3x = 525 + 45.

3x = 570.

x = 190.

So, the smaller duct removes 190 cubic feet of air per minute and the larger duct removes (2(190) - 45) = 335 cubic feet of air per minute.

learn more about linear equations here :

https://brainly.com/question/11897796

#SPJ2

Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?

A. 25
B. 30
C. 75
D. 83

Answers

Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times

Step-by-step explanation: Please mark brainliest

Answer:

75 -- i think

Step-by-step explanation:

let me know if im right.

Help me with questions please​

Answers

Answer:

530.93 OR 530.9

Step-by-step explanation:

Since we know what the radius is 13 we replace R with 13 in the formula form area of a circle. area = [tex]\pi 13^{2}[/tex]

So now we multiply 13 squared or 13 x 13 which equals 169

Now we multiply pi and 169 which gives us 530.929 depending on what number you should round to give  us our answer.

530.93

530.9

hello I need help please help me​

Answers

Answer:

1) equation

2) equation

3) expression

4) expression

Step-by-step explanation:

An equation has a result, or something that equals to .

Numbers 1 and 2 have the word "is" which means equaled to, so they are equations. 3 and 4 don't, so they are only expressions.

Hope that helped :)

Step-by-step explanation:

Examples:

[tex]a+4;\ 3b;\ \dfrac{x}{4}-\text{these are the expressions}\\\\x=5;\ c+5=3c;\ p=q-\text{these are the equations}[/tex]

[tex]1.\ n+4=12-\bold{the\ equation}\\\\2.\ 5\cdot n=50-\bold{the\ equation}\\\\3.\ C\cdot 7-\bold{the\ expression}\\\\4.\ 6\cdot(12+t)-\bold{the\ expression}[/tex]

i need help on this math problem

Answers

Answer:

[tex]\sqrt{81}[/tex] = 9

[tex]\sqrt{169}[/tex] = 13

Step-by-step explanation:

Write the prime factorization of 26.​

Answers

Answer:

The factors of 26 are 1,2,13,26 The prime factors of 26 are 2 and 13.

Step-by-step explanation:

Answer:

2 and 13

Step-by-step explanation:

First, we can see that the last digit of

26

is even, and thus

26

is divisible by

2

. If we divide by

2

, we find

26

2

=

13

. As

13

is a prime number, there are no further prime factors of

26

, and so the prime factorization of

26

is

2

×

13

.

here's my question. ​

Answers

Answer:

30 Chocolates

Step-by-step explanation:

The box was new and therefore full, so it had 5/5 of chocolates left.

When Bob ate 18, 2/5 were left, so he must have eaten 5/5 - 2/5 or 3/5 of the chocolates:

5/5 - 2/5 = 3/5

You know that 3/5 of the chocolates are 18, as he ate 18 chocolates. Divide 18 by 3 to get 6:

18 / 3 = 6

This is 1/5 of the chocolates. Multiply this by 5 to get 30:

6 * 5 = 30

This is 5/5 of the chocolates and therefore the total is 30 chocolates.

Joleen and Pablo want to fertilize a rectangular garden
with an area of A square feet. They know that 5 cups of
fertilizer will cover an area of 240 square feet. They each
write an equation to represent the relationship between
the area, A, and the number of cups of fertilizer, c.
Joleen's equation: A = 480
Pablo's equation: c = 45
:

Which of the equations is correct? Explain how you know.

Answers

Answer: A

Step-by-step explanation:

Because 489 + 45

The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)

Answers

Answer:63

Step-by-step explanation:

Took the test

Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

What is the Line of Best Fit?

The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.

Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.

y = 61 + 2

y = 63

Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.

Learn more about line of best fit on:

https://brainly.com/question/17143626

Other Questions
Henry steps onto an elevator at the first floor. He goes up to the 9th floor and then comes down 2 floors. He then goes up 4 floors and down 6 floors. What floor is Henry on? Jim sells used drones for 70% of the original manufacturer's purchase price of a new drone.Jim also sells new drones for 15% more than the manufacturer's purchase price of a new drone. Write a function to to determine the total amount a customer saves if they purchase a used drone rather than a new drone from Jim's store. Let x represent is the manufacturer'spurchase price of the drone. Does each pair of expressions form an equation when joined with an equals sign?Select Yes or No for each pair of expressions.Expressions(1/3) +1 and 2 - 8/9(1+ 1/5)^2 and 216/25 Which of these examples would NOT be considered a hypothesis? Help pls its really hard I cant figure it out!! Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution -2(x + 4) + 9x = 4 - 7x how does the structure of compounds determines the properties of the compounds? Find the sum of 382 - 8 - 10 and 1042 +2 - 10. Need help with this geometry question Which of the following events contributed to the start of the modern era Solve each equation for the specified variable.a. a-q=a+sx for xb. kx-bf=fy/m for yc. a-q=a+sx for qd. kx-bf=fy/m for mPLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH Briefly describe 2 reasons why the USA followed a policy of IMPERIALISM? (expanded around the world) how do you solve this linear programming inequality equation?1 > 3P + 10 Function: More on describing a personAudience: Readers of a school newspaperGoal:To write an article about Iz Bola, a new exchange student12 POINTS and brainliest!!! Please help?! As you read chapters 25-31, you should have identified characters that could be considered mockingbirds and other characters thatcould be considered blue jays. In a paragraph, share one character who is symbolic of a mockingbird and one character who issymbolic of a blue jay. Defend your claims with examples from the story that support behaviors of each type of bird. Be sure toexplain how your examples support your claim.Please see the rubric for a scoring breakdown. negative effects of fire arms trafficking Twice carries Siddhartha across the river ? Design a solution to the Zebra Mussel invasion. What steps may be taken to reduce the negative impact of Zebra Mussels in the rivers and lakes in North America? Your response should include a logical way to reduce the number of Zebra Mussels. You should include 2-3 steps regarding how your method will work. Complete the following equations (note that the equations are not balanced). Use the activity series if necessary. An activity series, listed as most reactive to least reactive: Upper L i, Upper K, Upper B a, Upper S r, Upper C a, Upper N a, Upper M g, Upper A l, Upper M n, Upper Z n, Upper C r, Upper F e, Upper C d, Upper C o, Upper N i, Upper S n, Upper P b, Upper H, Upper S b, Upper B i, Upper C u, Upper A g, Upper P d, Upper H g, Upper P t, Upper A u. PbCl2 MgSO4Upper C subscript 3 upper H subscript 8 plus upper O subscript 2 right arrow. ? Pb O2 MgCl PbMg ClSO4 PbSO4 MgCl2 Pb(SO4)2 MgCl. What would you done for our nation of you are soldier ?