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%

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Related Questions

Peter has 18 oranges, 27 pears and 12 bananas. He wants to make fruit baskets with
the same number of each fruit in each basket. What is the greatest number of fruit
baskets he can make? How many of each type of fruit will be in the baskets?

Answers

Answer:

3 baskets and 6 oranges, 9 pears, 4 bananas

Step-by-step explanation:

the common denominator is 3

A $600 fax machine is on sale for 20% off. Find the amount of the discount and the sale price.

The amount of discount is $0.

The sale price is $0

Answers

Answer:

The amount of discount is $120

The sale price is $480

Step-by-step explanation:

The amount of discount = Original price × the Percentage off

The amount of discount = $600 × 20 %

The amount of discount = $600 × .20

The amount of discount = $120

The sale price = Original price - Discount

The sale price = $600 - $120

The sale price = $480

A box has 10 red, 5 blue and 5 yellow balls. Draw 6 balls one by one with replacement. Then calculate the probability that

Answers

Answer:

I would say its a 16.5 %

Step-by-step explanation:

Estimate each product 11.9×21=

Answers

Answer:

249.9

uhm.. correct me if im wrong

Can 4x + 10 can be simplified to 14x?

Answers

Answer:

NO

Step-by-step explanation:

“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction)

so you need to sole 4x and after add 10

The answer would be “No” it cannot be simplified .

Which number replaces the question mark? 19 11 11 ? 12

Answers

Answer:

i think 12

Step-by-step explanation:

Answer:

4 + 3 + 2 = 9

Step-by-step explanation:

You have to add all the numbers in the cube.

These are the following ones.

19 = 4 + 8 + 7

11 = 2 + 8 + 1

11 = 5 + 5 + 1

4 + 3 + 2 = 9

12 = 2 + 7 + 3

A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 13 more students than her second class. In total, she teaches 57
students. The equation 2x + x + (x +13) = 57 represents this scenario, where x is the number of students
in her second class.
How many students are in her second class?
Number
students are in her second class.

Answers

Answer:

11

Step-by-step explanation:

2x + x + x + 13 = 57

4x + 13 = 57

4x = 57-13

4x = 44

44/4 = 11

x = 11

To study the effects of a medication on migraines, every 10th adult from an alphabetized list of patients who suffer from migraines were selected. Then, the sample was surveyed about the number of migraines they have each month. The names of the 50 adults selected were written on equal sized tiles, placed in a bag, and mixed well. The people with names on the first 25 tiles selected were given the migraine medication. The remaining 25 people were given a placebo. After six months, all patients were surveyed again about the number of migraines they had each month. The change in the mean number of migraines between the two groups was compared. Which of the following is the best description of the randomization approach? random selection random assignment both random selection and random assignment neither random selection nor random assignment

Answers

Answer:

Random Assignment

Step-by-step explanation:

what is pulmonary function ​

Answers

Answer:

pulmonary function is the blood or gas flow from or to the lungs

Step-by-step explanation:

the lungs take in oxygen and take out c02

The lungs' main role is to bring in air from the atmosphere and pass oxygen into the bloodstream. From there, it circulates to the rest of the body. Help is required from structures outside of the lungs in order to breathe properly.

The hypotenuse of an isosceles right triangle is 4cm longer than either of its legs note that an isosceles right triangle is a right triangle who’s legs are the same length find the exact length of its legs and it’s hypotenuse

Legs ? Cm
Hypotenuse? Cm

Answers

Answer:

Step-by-step explanation:

let the side of triangle=x

hypotenuse=x+4

(x+4)^2=x^2+x^2

x^2+8x+16=2x^2

x^2-8x-16=0

x²-8x=16

x²-8x+16=16+16=32

(x-4)²=16×2=(4√2)²

x-4=±4√2

x=4±4√2

either x=4+4√2=4(1+√2)

or x=4-4√2=-4(√2-1)<0 (rejected)

leg x=4(1+√2)≈4(1+1.414)≈4×2.414≈8.828≈8.83 cm

hypotenuse≈8.83+4=12.83 cm

What is the solution to the system of equations? y=−2x−64x−y=−36 (−15, 24) (−7, 8) (−5, 4) I don't know.

Answers

Answer:

Since y = −2x − 6 and 4x − y = −36, the solution would be B.) (-7, 8).

A solution to the given system of equations is [tex](\frac{100}{3}, \frac{8}{3} )[/tex]

Given the following system of equations:

[tex]y=-2x-64[/tex]  ...equation 1.

[tex]x-y=-36[/tex]   ...equation 2.

To find a solution to the given system of equations, we would use the substitution method:

First of all, we would make x the subject of formula in equation 2.

[tex]x=-36+y[/tex]  ...equation 3.

Substituting eqn. 3 into eqn. 1, we have:

[tex]y = -2(-36+y)-64\\\\y=72-2y-64\\\\y+2y=72-64\\\\3y=8\\\\y=\frac{8}{3}[/tex]

For the value of x:

[tex]x=-36+y\\\\x=-36+\frac{8}{3} \\\\x=\frac{100}{3}[/tex]

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6.
Identify the axis of symmetry of the parabola.



A. y = 1

B. x = 1

C. y = −1

D. x = −1

Answers

Answer:

D. x = −1

Step-by-step explanation:

In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.

Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.

Answers

Answer:

Below in bold.

Step-by-step explanation:

The length of the side opposite to theta:

= √(24^2-21^2)

=  √(24-21)(24+21)

= √(135)

= 3√15.

sin theta = 3√15/ 24 = √15/8.   csc theta = 1/√15/8 = 8/√15 =  8√15/15.

cos theta = 21/ 24 = 7/8.            sec theta = 8/7.

tan theta = 3√15/21 = √15/7.     cot theta = 7/√15  = 7√15/15.

i rlly need help ill give u brainliest​

Answers

Answer:

A. 2^4*5            B. 3^3*2

Step-by-step explanation:

80/2 = 40

40 and 2

20 and 2

10 and 2

5 and 2

So we got 4 2's and one 5 bcz they prime.

27 and 2

9 and 3

3 and 3

So 2 3's and one 2 bcz they prime.

This method requires you to use prime factorization. Basically you break down these numbers into factors that---when multiplied together---equals the original number. For a, you can break the number into 8*10 and they still multiply together to equal 80. But this is not prime factors because you can break them down further. You have to continue doing this until you get prime numbers. For a, you get (2^3)x(5) and for b, you get (3^3)x(2)=54

The high temperatures for the first five days in December were as follows 28, 3, -2, -4 and 12. What is the average temperature.

Answers

Answer:

28 +3 +2+4+12=49

49÷5=9.8

Is X=7 an oblique Line?

Answers

Answer:

no

Step-by-step explanation:

Generally oblique is used to describe the relationship between 2 lines, but only 1 is given. Oblique means slanted to a degree other than a multiple of 90°, usually in reference to the other line.

x = 7 is a vertical line, and that is exactly 90°, -90°, or even 270° or -270° depending on how you look at it, so it is not oblique on its own.

Answer:

x = 7 is not an oblique line.

Step-by-step explanation:

x = 7 is the standard equation for a vertical line, x = a, with an undefined slope.  Vertical lines do not have horizontal change. Hence, its line will not be oblique (or slanted).  

The equations in slope-intercept form (y = mx + b), standard form (Ax + By = C), and point-slope form [y - y₁ = m(x - x₁)] will most likely represent an oblique line, as long as its slope (m) ≠ 0.  A line with a zero slope is a horizontal line (which is also not an oblique line).

Therefore, x = 7 is not an oblique line, but rather a vertical line.  

**PLEASE ANSWER OMG LITERALLY EVERY TIME I TRY POSTING A QUESTION NO ONE EVER ANSWERS**

The rectangle below is dilated by a scale factor of 3/2. Find the area of the dilated rectangle.

Answers

Answer:

  108 square units

Step-by-step explanation:

When the dimensions are multiplied by 3/2, they become ...

  8·3/2 = 12

  6·3/2 = 9

Then the area of the dilated figure is ...

  A = LW

  A = 12·9 = 108 . . . . square units

_____

Additional comment

If you're paying attention, you see that the original area is multiplied by the square of the scale factor.

  A = LW

  A = (8·3/2)(6·3/2) = (8·6)·(3/2)²

This is generally true for the area of scaled figures: the original area is multiplied by the square of the scale factor to get the area of the scaled figure.

PLZZZZ HELP BRAINLYEST AND 100 POINTS
Identify the number of real and imaginary solutions for: f(x)=x4+3x3+2x−6
(Write answer as a number, not a word)
Imaginary=
real=

Answers

Answer:

2 imaginary; 2 real

You can factor it as ...

 f(x) = (x^2 -16)(x^2 +1) . . . . . . . . . x^2-16 is the difference of squares

 = (x -4)(x +4)(x^2 +1)

The two linear factors have real zeros; the quadratic factor has two imaginary zeros. There are 2 imaginary and 2 real zeros.

Step-by-step explanation:

Hope this helps:)

Use properties to evaluate 1/3 (-15 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

A. -5/2

see the attachment for explanation

hope it helps

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{\dfrac{1}{3}(-15 \div \dfrac{1}{2})(\dfrac{1}{4})}\\\\\mathbf{= \dfrac{1}{3}(-15\div 0.5)(0.25)}\\\\\mathbf{= \dfrac{1}{3}(-30)(0.25)}\\\\\mathbf{= -10(0.25)}\\\\\mathbf{= \boxed{\bf -\dfrac{5}{2}}\approx -2.5}\\\\\\\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{Option\ A. -\dfrac{5}{2}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\bf{Amphitrite1040:)}[/tex]

For a particular event, 808 tickets were sold for a total of $3110. If students paid $3 per ticket and no student paid $5 per ticket. How many students tickets were sold?

Answers

Jsnsjsjsjsjshsjshshsjsjsjdhshshjxjxjxjsjdjxjdjsjdjdjdjdjddjjddi

please what is measurement BAC

Answers

Answer:

54 degrees? I'm not an expert, but judging by the pic, I would say 54 degrees.

fred bags groceries at Wegman's. on average he fills 21 bags for every three customers what IS FREDS AVERAGE RATE OF CHANGE

Answers

Answer:

The rate of change will be the number of bags Fred fills for 1 customer.

Write a ratio.

21 : 3

x : 1

To solve for x, cross multiply.

3x : 21

Divide both sides by 3.

x = 7

Fred’s average rate of change is 7 bags.

:)

After doing the math the answer is seven

The diameter of a circle is 4 centimeters. What is the circle's circumference?
d=4 cm
Use 3.14 for .

Answers

Answer:

12.56cm.

Step-by-step explanation:

Given that the diameter of a circle is 4 centimeters

The equation to find the circumference would be C=πd

C=3.14x4

=12.56

The circumference of the circle would be 12.56cm.

Hope this helps :)

Pahelp yawa T^T[tex]{\blue{\rule{25pt}{1pt}{\purple{\rule{30pt}{3pt}{\red{\rule{50pt}{5pt}{\purple{\rule{30pt}{3pt}{\blue{\rule{25pt}{1pt} }}}}}}}}}}︎︎︎︎︎︎︎︎ ︎︎︎︎︎︎︎︎[/tex]

pasagut 6-7 lang T^T
sabog na akow HAHAH​

Answers

ACcBD

6-7

y < -1 -4

x > -4 y + 2

hope it helps

wait Lang SA 6-7

Answer:

ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok

Translate this phrase into an algebraic expression.
Five more than the product of 11 and a number
Use the variable n to represent the unknown number.

Answers

Answer:

5+(11 x n)

Step-by-step explanation:

I hope this helps

‏Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me

Answers

I think it’s C because 1.04 is closest to 1

How can you prove a triangle is a right triangle? (4 points)

a
Use the distance formula to see if at least two sides are congruent.

b
Use the slope formula to see if any sides are perpendicular.

c
Use the distance formula to see if all three sides are congruent.

d
Use the slope formula to see if any sides are parallel.

Answers

Answer:

a

Use the distance formula to see if at least two sides are congruent.

Step-by-step explanation:

If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle

brainiest to whoever correct

Answers

Answer:

y = 138

Step-by-step explanation:

90 + 4x + 3x + 6 = 180

96 + 7x = 180

7x = 84

x = 12

———

3(12) + 6

36 + 6

42

———

180 - 42 = 138

find the amount of money Khairul had initially

Answers

Answer

Find the amount of money Khairul had initially

money with Khairul initially = 6x = 6(60) = 360

Step-by-step explanation:

what is the percent of change from 5 to 7

Answers

Answer:

The answer is 20% have a great day

Answer:

40%

Step-by-step explanation:

that's what googl e said

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