Answer:
[tex]f(x) = 63000(0.97)^x[/tex]
Step-by-step explanation:
Given
[tex]f(0) = 63000[/tex] ---x = 0, in 2012
[tex]f(5) = 54100[/tex] -- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where
[tex]b = rate[/tex]
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
[tex]f(x) = 63000(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]
Set x = 5
[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]
This is true because the calculated values of f(0) and f(5) correspond to the given values
For option (d), we have:
[tex]f(x) = 52477(0.97)^x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
For option (e), we have:
[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]
Set x = 0
[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined
This is false because the f(x) is not undefined at x = 0
For option (f), we have:
[tex]f(x) = 52477(0.97)^{5x[/tex]
Set x = 0
[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]
This is false because the calculated value of f(0) does not correspond to the given value
From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true
The first three terms of arithmetic progression are -5,-1 and 3.Find the six term.
Answer:
15
Step-by-step explanation:
The pertinent general formula for this arithmetic progression is
a(n) = a(1) + d(n - 1), where d is the common difference. That difference is d = 4.
Here, a(n) = -5 + 4(n -1)
Therefore, a(6) = -5 + 4(5) = 15
Answer:
It is 15.
Step-by-step explanation:
Alright, first lets find the pattern. Since its a arithmetic sequence, it has something to do with adding/subtracting.
With the values, -5, -1, and 3. Notice something about them? -1 is 4 more than -5 & 3 is 4 more than -1. There's a pattern! The pattern is that for every new term, it is 4 more than the one before it.
With this, we can make a table to find the 6th term!
(Given)
1st Term: -5
2nd Term: -1
3rd Term: 3
Now, continue adding 4 to each term...
4th Term: 7
5th Term: 11
6th Term: 15
For the 6th term, it has been found that the answer's 15.
I have no clue what its asking me to do or what to do so do it for me please
Answer:
i cant see the question :(
Step-by-step explanation:
plz help me plz plz plz plz plz
Answer:
38
Step-by-step explanation:
The area of a kite is equal to half the product of the diagonals
To find the area we must first find the measures of the diagonals
short diagonal = 2 + 2 = 4
longer diagonal = 8 + 11 = 19
We then calculate the area by multiplying the two diagonals together and then dividing that by 2
A = 19 * 4 = 76
76 / 2 = 38
Hence, the area of the kite is 38m²
38m².
Answer:
Solution given;
diagonal 1=8+11=19m
diagonal 2=2+2=4m
the area of a kite =½*diagonal 1*diagonal 2
=½*4*19=38m²
The area of kite is 38m².
The area of the
rhombus is 52 m2
What is the base of
the rhombus?
i have explained through pictures
Why do you think gas stations often quote a price per gallon that ends in 9/10 of a cent? Do you think this is an appropriate use of fractions? Why or why not?
What is the answer to this question?
Answer:
10
Step-by-step explanation:
70-30=40
50-40=10
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What is the circumference of the table top? Write your answer using
Show your work.
Answer
the diameter is 44
Step-by-step explanation:
the radius is just half of the diameter so to get the diameter from the radius just multiply it by two.
Tell whether the angles
are
complementary or supplementary. Then find the value of c.
(6x + 1)
290
Answer:
Complementary, x=10
Step-by-step explanation:
Complementary angles mean they add up to 90 degrees.
So 29+(6x+1)=90.
30+6x=90
6x=60
x=10
Answer:
Complementary-------- x= 10
Step-by-step explanation:
only 90 degrees
(6x-1)/2930+6x = 90-----------------------------
3. 6x = 60
=======================
x= 10
please help asap!
thanks
Answer:
Option B
Step-by-step explanation:
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
Now substitute the measures of each side in the formula,
(13)² = x² + (12)²
169 = x² + 144
x² = 169 - 144
x² = 25
x = √25
x = 5
Therefore, Option B will be the correct option.
The surface area of a figure is 736 in^2. If the dimensions are multiplied by 22, what will be the surface area of the new figure?
Answer:
356 224 in²Step-by-step explanation:
If the dimansions of a figure are multiplied by 22 then its surface is multiplied by 22²
736 in²·22² = 736 in²·484 = 356 224 in²
Help a bab out with Geometry ☹️?
Answer:
1/3*9.7*pi7.6^2ft^3
Step-by-step explanation:
Then round to the nearest hundred,
=586.7ft^3
Use the rule to find the output when the input is –6.
Output = Input ÷ 2
a. –8
b. –3
c. 3
d. –4
Answer: C
Step-by-step explanation:
yes
a shirt normally cost 26 pounds. the price was reduced by 25%. how much does the shirt cost now?
Answer:
19.5 pounds
Step-by-step explanation:
25% of 26 equals 6.5, so 26-6.5 is 19.5 pounds
Please help, Find the perimeter of the figure
Answer:
24
Hope that this helps!
Answer:
24 inches
Step-by-step explanation:
starting from 4 going clockwise, add the inches to get the perimeter:
4 + 5 + 1 + 5 + 9 = 24
Jenna multiplied four numbers together and then divided by -2 the result was a positive value which of the following statements must be true 1 an odd number of factors were negative 2 none of the factors were negative 3 and even number of factors were negative 4 all of the factors were negative
Answer:
1. An odd number of factors were negative
Step-by-step explanation:
The first is true.
If an odd number of factors were negative, you have a negative result.
When you divide a negative by a negative you have a positive.
In this case when you divide the negative product by - 2 you have a positive.
Which point would NOT be a solution to the system of linear inequalities shown below?
Answer:
(-1,1) would not be a solution to the system of linear inequalities presented in the problem. Simply substitute the x and y values in the coordinates provided to see if they would work as solutions.
Hope I helped, have a nice day :)
Answer:
(-1,1)
Step-by-step explanation:
If we try to substitute this values in the second inequality we have
1 > 4 (false)
A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled
by h(t)=-16t2+300 where h is in feet and t is in seconds. How long does it take for the ball to be 44 feet above the ground?
Answer:
The ball reaches 44 ft above the ground after 4 sec.
Step-by-step explanation:
Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t. Indicate exponentiation with " ^ "
-16t^2 + 300 = 44 becomes
-16t^2 + 256 = 0, or 16t^2 = 256. Then, taking the square root of both sides, we get:
4t = 16, or t = 4 sec. The ball reaches 44 ft above the ground after 4 sec.
The ball will take 4 seconds.
What are quadratic equations?A quadratic equation, or simply "quadratics," is a polynomial equation with a degree of two as its highest. This is how it is expressed:
a x² + b x + c = 0 where x is the unknown variable and the constant terms are a, b, and c.
Given equation of height h(t) = -16t² + 300...…..(1)
where h is height in feet and t is time in seconds,
and height at t = 0 is 300 feet
when ball is 44 feet above ground then time is,
put h = 44 in equation 1
44 = -16t² + 300
16t² = 300 - 44
t² = 256/16
t = √16
t = 4
Hence time taken by ball is 4 seconds.
Learn more about quadratic equations;
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PLEASE HELP WITH THIS
Answer:
a.2b.area of one triangular faces =9m²
2×9m²18m²Solve this
4( x + 4)=
Answer:
4x + 16 - simplified
Step-by-step explanation:
If the value of "y" varies directly with "x"
and y = -8 when x = 4.
Find "y" when x = -4.
Enter the number that belongs in the green box.
y = [?]
Factor each polynomial using the Greatest Common Factor.
Answer:
–9(3x³ – 8x + 9)
Step-by-step explanation:
–27x³ + 72x – 81
The above equation can be factorised as follow:
–27x³ = –3 * 3 * 3 * x * x * x
72x = 2 * 2 * 2 * 3 * 3 * x
–81 = –3 * 3 * 3 * 3
Common factor = 3 * 3
Greatest common factor = 9
Thus,
–27x³ + 72x – 81 = 9(–3x³ + 8x – 9)
–27x³ + 72x – 81 = –9(3x³ – 8x + 9)
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x≥−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x+3/ −3 ≤1
Step 1: Simplify both sides of the inequality.
−2/ 3 x−1≤1
Step 2: Add 1 to both sides.
−2/ 3 x−1+1≤1+1
−2/ 3 x≤2
Step 3: Multiply both sides by 3/(-2).
( 3/ −2 )*( −2/ 3 x)≤( 3/ −2 )*(2)
x≥−3
Answer:
x≥−3
Can someone please help me with math.
Answer:
D
Step-by-step explanation:
If you multiply all sides by 2 you get the same dimensions.
Find the volume of a right circular cone that has a height of 12.4 m and a base with a
diameter of 5.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
84.4
Step-by-step explanation:
done
Volume of a right circular cone is 84.39 m³
What is volume?
The amount of space occupied by a three-dimensional figure as measured in cubic units.
Given:
height = 12.4 m. base diameter= 5.1 m, radius= 5.1/2 m
Volume of right circular cone= 1/3* π* r²*h
= 1/3*3.14* 2.55*2.55*12.4
= 84.39 m³
Hence, the volume of right circular cone is 84.39 m³
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Emerson deposited $194 into the bank. What will the balance be if Emerson left the money there for 7 years with an interest rate of 7.67%?
Answer:
You just have to round to the cent place to get your answer
Step-by-step explanation:
Hope it helped!
-Brainly User
Answer:
298.16
Step-by-step explanation:
you divide 7.67 by 100 then you would take that number and multiply it by 194 and 7 and then add your total to 194
Need help I u get it right I’ll mark u as branniest
Answer:
primero debemos resolver la ecuacion sumamos 3d mas 10d luego pasamos el mumero 8 al otro lado entonces se convertira en negativo 8 el resulatdo de esta ecuacion sera 13d elevado al cubo =-8
13d^{3}=-8 entonces
entonces remplazamos en la formula cuadratica 3d=a 0=b -8=c y lo rremplazas en la formula cuadratica
Step-by-step explanation:
First we must solve the equation we add 3d plus 10d then we pass the number 8 to the other side then it will become negative 8 the result of this equation will be 13d cubed = -8
13d 3 = - 8 then
then we replace in the quadratic formula 3d = a 0 = b -8 = c and you replace it in the quadratic formula
what is x? Options: 60 or 100
Answer:
60 degrees
Step-by-step explanation:
180 - 120= 60
A rectangular prism has a volume of 100 cm3. The length of the prism 25 cm, the height is 2 cm, but the width is unknown. What is the width of the rectangular prism?
4cm
2cm
3cm
none of the above
Answer:
w = 2 cm
Step-by-step explanation:
100 = 25 x 2 x w
w = 2 cm
The width of the rectangular prism is 2 cm.
What is volume?Volume is the amount of space occupied by a solid shape.
To calculate the width of the rectangular prism we use the formula below.
Formula:
V = lwh................. Equation 1Where:
l = Length of the prismw = Width of the prismh = Height of the prismV = Volume of the prismMake w the subject of the equation
w = V/lh................Equation 2From the question,
Given:
l = 25 cmh = 2 cmV = 100 cm³Substitute these values into equation 2
w = 100/(25×2)w = 100/50w = 2 cmHence, the width of the rectangular prism is 2 cm.
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Two rectangles are similar. One is 2.5 meters by 9 meters. The longer side of
the second rectangle is 22.5 meters. What is the other side of the second rectangle?
Pls pls help quick I rlly don’t know I just need a value for x
Step-by-step explanation:
3(x - 3) = 3(2x - 3)
3x - 9 = 6x - 9
- 3x - 9 = -9
-3x. = 0
x = 0