The exponential growth function will be: y = 4000(1 + 0.04)⁴
How to solve Exponential growth unctions?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.
We are given;,
Initial population = 4000
Rate of increase = 4%
Let current population be p.
Let number of years passed be t.
Thus, the exponential growth function will be:
y = 4000(1 + 0.04)⁴
Complete question is;
A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.
Part A
Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.
Read more about Exponential Growth Functions at; https://brainly.com/question/27161222
#SPJ1
Answer:
number of emergency response professionals = 3% of population
e = 0.03p
e is a function of p
e(p) = 0.03p
Step-by-step explanation:
edumentum
Given the regular polygon ABCDEF with side lengths of 16 km, find the area of the shaded region. Round your answer to the nearest tenth.
The hexagon surface area is the amount of space on it
The surface area of the hexagon is 665.11 square centimeters
How to determine the surface area?The question is incomplete, as the diagram is not given.
So, I will calculate the surface area of the hexagon.
The side length of the hexagon is given as:
L = 16 km
The surface area of the hexagon is calculated using:
A = 1.5[tex]\sqrt3[/tex]L^2
This gives
A = 1.5 * [tex]\sqrt3[/tex] * 16^2
Evaluate the product
A = 665.11
Hence, the surface area of the hexagon is 665.11 square centimeters
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Please help with algebra
Answer:
54%
Step-by-step explanation:
1 (5x-3x2-6)-(3x2-5x+7)
2 (2m2+7m+8) -(1-2m-2m2)
Answer:
#1 -6
#2 14
Step-by-step explanation:
#1 You would put 5x and then you would subtract it by 3 then you multiply it by 3×2 and your answer will be -6
#2 You would add 2 add 7 add 8 and then you would subtract 1 and subtract 2.and your answer 14
What is the multiplier for a 58% decrease
Answer:
A. 0.58
Step-by-step explanation:
Please Help Me!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $_____(Round to the nearest cent.)
Answer:
$2.25 is the discounted price for each gallon.
Step-by-step explanation:
So you take 40% and convert it into decimal form, which is 0.4. Then you take $3.75 x 0.4 = 1.5. Then subtract $1.50 from $3.75, and that equals $2.25 each gallon.
Have a nice day!
Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?
Answer:
a 40 sheets/min
b 2400 sheets
c25mins
Step-by-step explanation:
a
120/3=40 sheets /min
b
40*60=2400
c
1000/40=25
Answer:
1) 40 sheets/minute 2) 2400 3) 25 minutes
Step-by-step explanation:
25% of z is 150. Find the value of z.
(Can y’all show your work on this so I know how you got it)
Answer:
z = 600
Step-by-step explanation:
Method 1 - ratios
If 150 is 25% then z is 100%:
[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]
Method 2
Calculate the amount for 1%, then multiply by 100% to find z:
25% = 150
⇒ 1% = 150 ÷ 25 = 6
⇒ z = 100% = 6 x 100 = 600
Is the inequality below true or false, if m
m+9
True
False
What are the period and amplitude
of the function?
period T; amplitude : 1.5
•
period T; amplitude
3
•
period : z; amplitude : 1.5
O period
~; amplitude : 3
Answer:
period is pie/2 and amplitude is 3
the meaning of amplitude is on the photo
I'LL MAKE YOU BRAINLIEST IF YOU ANSWER THIS
In the triangle shown, the ratio of the height to the length of the base is 3:4.
Chose True or False on A-C.
A. The area of the triangle is twice the area of a parallelogram with the same base and height
B. The height is 3/4 the base length.
C. The area is 8.64 mm²
Answer:
A. False
B. True
C. True
Step-by-step explanation:
A: Area of traingle = 1/2 × Base Length × Height
Area of parallelogram = Base Length × Height
Therefore, Statement A is False.
B: Base on the ratio for height to base length 3:4,
Statement B is True.
C: Base Length = 4.8 ÷ 4 × 3
= 3.6 mm
Area of Triangle = 1/2 × Base Length × Height
= 1/2 × 3.6 × 4.8
= 8.64mm²
Therefore, Statement B is True.
Determine the value of the angle.
Angle ADF=
Answer:
90 degree
Step-by-step explanation:
we can see that angle adf is a right angle which means it's value is 90 degree
CAN SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE DOWN BELOW!
how long is |MN| when you measure it and do you know anything about the length of |NO| and |OP|?
assuming |MN|= 7.7 ; |NO|= 4.7 ; |MO|= 5.5:
o²= m²+n²
= 4.7²+5.5²
=52.34
o=V52.34
≈7.23
Which measure of spread is least affected by the long tail in the
graph?
Vehicle A
>
0
1
2
2
3
5
6
0)
7
CO
9
4
Repairs per Vehicle
MAD
IQR
Range
Answer:
IQR
Step-by-step explanation:
I got it right :)
Find the perimeter of each figure. 6 cm 2 cm 2 cm 6 cm
Answer:
That's not full question
Which of the following are solutions to the inequality below? Select all that apply.
4 ≥
r
Answer:
r=1
Step-by-step explanation:
1 is lower than for. The sign also suggests that its could be 4 as well
Calculate the constant difference
1,2,3
1
Step-by-step explanation:
Seeing its an arithmetic sequence
T1=1......T2=2.....T3=3
To get your constant difference
T2=T1 is also equals to T3=T2
so 3-2=1 and 2-1=1
therefore the constant difference is 1
Simplify
chapter name:rationalization of surds
[tex] \frac{ \sqrt{6} }{ \sqrt{2} \times \sqrt{2} } [/tex]
[tex] \frac{ \sqrt{6} }{2 \sqrt{2}} [/tex]
[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ
Answer:
Step-by-step explanation:
Find the exact circumference of a circle with a diameter of 5 inches.
The circumference is
inches.
Answer:
15.7 in
Step-by-step explanation:
You can use the below formula to find the circumference of the circle.
C = π × d
Here,
d ⇒ diameter ⇒ 5 in
Let us find it now.
C = π d
C = 3.14 × 5
C = 15.7 in
Answer:
The exact diameter is 15.707963267948966192313216916398 inches multiplied by full form of pi.
________________________________________________________
SolveSet C as your substitute for circumference.
[tex]C =[/tex]
Now that we have this, we need to assign a value of pi long form followed by the diameter, which is 5 inches².
[tex]C = \pi d[/tex]
[tex]d = 5[/tex]
Lastly, ignore C, and multiply pi by the diameter, d.
[tex]\pi * d = 15.707963267948966192313216916398[/tex] without rounding
________________________________________________________
Questions?Ask in the comments box.
HELP PLEASE <3
What is the area of the circle with the equation 2x2 + 2y2 = 8?
show work pls !!
Answer:
4pi
Step-by-step explanation:
Divide through by two to get
x^2 + y^2 = 4 4 = radius squared radius = 2
area = pi r^2 = 4 pi
Answer: 4π
Step-by-step explanation:
Under the assumption that those are exponents, and your equation is:
[tex]2x^2+2y^2=8[/tex]
You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:
[tex]x^2+y^2=4[/tex]
If you'd like, we can write this in the following way:
[tex](x-0)^2+(y-0)^2=2^2[/tex]
So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:
[tex]A=\pi r^2[/tex]
[tex]A=\pi (2^2)=4\pi[/tex]
what is the expanded form of 812004?
8,00,000 + 10,000 + 2,000 + 4
Eight Lack Twelve Thousand And Four
INTERNATIONAL SYSTEM800,000 + 10,000 + 2,000 + 4
Eight Hundred And Twelve Thousand And Four
hope this is the expected answer!!,if it is correct/satisfying then PLS mark Brainlist(: !!HAVE A NICE TIME!! :)(: !!STAY SAFE!! :)Do 5.8 and 5.08 have the same value? In a full sentence, explain why or why not?
Answer: 5.8 is correct
Step-by-step explanation: because 5.8 is bigger
help me, please??????
Answer:
B
Step-by-step explanation:
The slope of this function is obviously decreasing, and the point where it intersects the y axis, is (0,-2)
Answer B contains this information
Hope this helps!
Solve by factorising.
x² - 7x+10=0
Answer:
x²-7x+10=0
x²-5x-2x+10=0
x(x-5)-2(x-5)=0
(x-2)(x-5)=0 ANS!
Step-by-step explanation:
First we will multiply x² into 10, the answer will be 10x². Now, take L.C.M of 10, the L.C.M will be 5x2 or 2x5. Now we will make sure that:
2x x 5x=10x² while 5x+2x=7x. Now, we know that 7x is in negative so, we will change the signs and it will become x²-5x-2x+10=0. Now take common:
x(x-5)-2(x-5)=0. Now, write the common taken numbers first and then the other brackets in last i.e: (x-2)(x-5)=0
please help like i really need it
Answer:
145 degrees.
Step-by-step explanation:
It is 180 minus 35 because they always have to equal 180 so I subtracted 180 by 35
determine if - 2r + 6r^5 + sr is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial
The polynomial, - 2r + 6r^5 + sr is a trinomial.
The degree of the polynomial is 5.
What is a Polynomial?A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.
The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.
Given the polynomial, - 2r + 6r^5 + sr:
It has three terms, therefore, it is a trinomial.
The degree of the polynomial is 5.
Learn more about polynomials on:
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Convert: 82 inches = _____ feet _____ inches
A. 27 feet 1 inch
B. 6 feet 10 inches
C. 6 feet 8 inches
D. 984 feet 0 inches
PLS ANSWER IF SURE
Answer:
B. 6 feet 10 inches
Step-by-step explanation:
82 inches = 6 feet 10 inches
1 ft = 12 inches
Divide 82 by 12 Quotient = 6 ftRemainder = 10 inches-> 82 inches = 6 feet 10 inches
Solve 3x2 = -12x - 15.
Ox= -4 + 2i
Ox=-4+1
Ox=-2 + 2i
Ox= -2
Answer:
x = -2 - i, -2 + i.
Step-by-step explanation:
3x2 = -12x - 15
3x^2 + 12x + 15 = 0
Divide through by 3:
x^2 + 4x + 5 = 0
x^2 + 4x = -5
Completing the square:
x^2 + 4x + 4 = -5 + 4
(x + 2)^2 = -1
x + 2 = √-1 = i
x = -2 - i, -2 + i.
Find the area of each circle with the given radius or diameter. Use 3.14 for pi.
Answer: (Note*: Radius is half of the diameter, so the d = 2 and d = 12 have been converted into radius's instead to solve the problem).
r^2 = 4 in: 50.24 in^2.
r^2 = 2 in: 12.56 in^2.
d = 2 or r^2 = 1 in: 3.14 in^2.
r^2 = 8 in: 200.96 in^2.
d = 12 or r^2 = 6 in: 113.04 in^2.
Step-by-step explanation: To find the area of a circle, you need the radius squared times pi, which is 3.14. The following is solved below:
4^2 x 3.14 = 50.24 in^2.
2^2 x 3.14 = 12.56 in^2.
1^2 x 3.14 = 3.14 in^2.
8^2 x 3.14 = 200.96 in^2.
6^2 x 3.14 = 113.04 in^2.
Therefore, the following above are the answers you need.
Let me know if this is right! :)
Answer:
r = 4.) 50.24
r = 2.) 12.56
d = 2.) 3.14
r = 8.) 200.96
d = 12.) 113.04
Step-by-step explanation:
The formula for finding the area of a circle would be π(pi) x r (radius)²
1.) r = 4
4 x 4 = 16
16 x 3.14 = 50.24
2.) r = 2
2 x 2 = 4
4 x 3.14 = 12.56
3.) d = 2
2 ÷ 2 = 1
1 x 1 = 1
1 x 3.14 = 3.14
4.) r = 8
8 x 8 = 64
64 x 3.14 = 200.96
5.) d = 12
12 ÷ 2 = 6
6 x 6 = 36
36 x 3.14 = 113.04
-kiniwih426
What is the domain of the function graphed below?
Answer:
The second option
Step-by-step explanation:
Hello!
The domain of a graph is the interval in which the graph is on the x values.
This graph has all the x values that are greater than or equal to -3, as the graph is to the right of it.
The answer would be the second option: [tex]D : x/x \geq -3[/tex]
The range is the y-values of the graph. The y value of this graph is above 0, so it would be y ≥ 0
find the x and y intercepts of the linear equation 2x - 4y = -20
Answer:
see explanation↓
Step-by-step explanation:
We are given the following equation of a line:
[tex]2x-4y=-20[/tex]
To determine the x-intercept we must set "y = 0":
[tex]2x-4(0)=-20[/tex]
[tex]2x=-20[/tex]
Now, we divide both sides by 2:
[tex]x=-\frac{20}{2}=-10[/tex]
Therefore, the "x" intercept is -10.
To determine the y-intercept we set "x = 0":
[tex]2(0)-4y=-20[/tex]
[tex]-4y=-20[/tex]
Now, we divide both sides by -4:
[tex]y=\frac{-20}{-4}=5[/tex]
Therefore the y-intercept is 5.