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
Butoxors [25]
3 years ago
6

In a certain year, the population of Smallburg was $4{,}000.$ In the following year, the population increased by $15\%.$ What wa

s the resulting population?
Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

4,600

Step-by-step explanation:

To solve this problem, we need to multiply add 15% of 4,000 back to 4,000.

First, change 15% into a decimal:

15% -> \frac{15}{100} -> 0.15

Next, multiply 4,000 by 0.15:

x= 4,000(0.15)

x=600

The last step is to add the 600 back to 4,000:

4,000 + 600 = 4,600

The population of Smallburg the following year was 4,600.

You might be interested in
Can someone please help I will give brainliest and please if you don’t know the answer don’t put anything due at 12:00
hjlf

Answer:

Answer: (7,-2)

Step-by-step explanation:

Look at the formula

1) (x – h)^2 + (y – k)^2 = r2

the center is described by (h,k)

now look at

(x – 7)^2 + (y +2)^2 = 25

here h=7

but k= -2 because is (y+2) =(y-(-2))

4 0
3 years ago
A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The
vagabundo [1.1K]

Answer:

was shifted 5 unit right side then stretched vertically by the factor 100, Shifted 5 unit right side then stretched vertically by the factor 100

Step-by-step explanation:

Here, parent function,

Transformed function,

Since, if a function f(x) gives cf(x), where c is any number,

Then the function was vertically stretched by factor c,

While, the function gives f(x-c),

Then the function was shifted c unit right.

Hence, the graph of  was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of

6 0
3 years ago
Question (Multiple Choice Wor (07.01) Which of the values in the set {3,4,5,6) is a solution to the equation 4x + 2 = 22? 3 4 5
Murljashka [212]

Answer:

4x+2=22

4x+2-2=22-2

4x=20

4x/4=20/4

x=5

6 0
3 years ago
Please can anyone help answer this question? It would be greatly appreciated!!! :)
Ray Of Light [21]

Answer:

0.667

Step-by-step explanation:

Angle in a circle = 360°

Area of total shaded parts = 60 + 60 = 120°

Area of total unshaded parts = 360-120 = 240°

Probability that a random selected point within the circle falls in the unshaded area

= 240/360

= 2/3

≈ 0.667

I apologize in advance if I made a mistake.

7 0
4 years ago
Read 2 more answers
Given: mAngleEDF = 120°; mAngleADB = (3x)°; mAngleBDC = (2x)° Prove: x = 24 3 lines are shown. A line with points E, D, C inters
N76 [4]

Answer:

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* <em>Look to the attached figure </em>

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

 vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1)                                                     Column (2)

m∠EDF = 120°                                               given

m∠ADB = 3 x                                                 given

m∠BDC = 2 x                                                 given

∠EDF and ∠ADC are vertical angles           defin. of vert. ∠s

∠EDF is congruent to ∠ADC                        vertical angles are      

                                                                        congruent  

m∠ADC = m∠ADB + m∠BDC                        angle add. post.

m∠EDF = m∠ADC                                          defin. of cong.

m∠EDF = m∠ADB + m∠BDC                         substitution

120° = 3 x + 2 x                                               substitution

120 = 5 x                                                         addition

x = 24                                                              division  

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

 angles then they are congruent according to vertical angle

 theorem

6 0
4 years ago
Read 2 more answers
Other questions:
  • 20 characters you happy now?
    14·1 answer
  • Value of the irrational e is
    11·1 answer
  • Perpendicular lines intersect to form what angle? <br> A. 60°<br> B. 90°<br> C. 100°<br> D. 180°
    5·2 answers
  • The depth of a wading pool during a rainstorm was 1.5x+24 inches after it had been raining for x hours. How many inches per hour
    8·1 answer
  • In the morning, Sophie goes to the church then goes to the school. In the afternoon she goes to school to home. The map shows th
    8·1 answer
  • What is the area of parallelogram ABCD?<br><br><br> ____ square units
    9·1 answer
  • How many solutions are there to the equation below?
    6·1 answer
  • 36= W/4 what does w equal ???????????///
    10·2 answers
  • An underground aquifer near Seiling, Oklahoma, sits on an impermeable layer of limestone. West of Seiling the limestone layer is
    10·1 answer
  • Examine △ABC shown below.<br><br><br><br><br> What is the measure of angle B?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!