Answers
A) Total number of old plans = 3500 + 4700 = 8200
In the new month, the unlimited plans increased by 55%, which adds
0.55 • 3500 = 1925
unlimited plans, while the limited plans decreased by 25%, which subtracts
0.25 • 4700 = 1175
limited plans. Then
Total number of new plans = (3500 + 1925) + (4700 - 1175) = 8950
which corresponds to a percent change of
(8950 - 8200)/8200 ≈ 0.0915 = 9.15%
That is, percent change is given by
(new value - old value) / (old value)
B) The percent change is positive, so it's a percent increase.
Related Questions
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answers
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist
-
Drag the steps for drawing a graph of the function f(x) = 2(x+4)2 - 3 to
arrange them in the correct order. It might help you to draw the graph as
you arrange the steps.
Plot the vertex (-4,-3).
Draw the axis of symmetry x=-4.
Reflect the points over the axis of symmetry and plot (-5, -1), (-6,5), and (-7,15).
Apply the 2x? pattern, from the vertex go right 1 up 2 and plot (-3,-1).
Apply the 2x² pattern again, from the vertex go right 2 up 8 and plot (-2,5).
Apply the 2x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1,15)
Draw a U shaped parabola
Answers
The shape of the graph of quadratic functions is the shape of a parabola.
The steps for drawing a graph of the function f(x) = 2·(x + 4)² - 3 arranged in the correct order are;
(a) Plot the vertex (-4, -3)(b) Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)(c) Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)(d) Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)(e) Draw the axis of symmetry x = -4(f) Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)(g) Draw a U shaped parabola.Reasons:
The given function is; f(x) = 2·(x + 4)² - 3
The function is given in the vertex form; f(x) = a·(x - h)² + k
Therefore, the vertex, (h, k) = (-4, -3)
Step (a);
The vertex can be plotted on the graph
Plot the vertex (-4, -3)Step (b);
Given that the quadratic term is 2·x², the pattern that can be used for the points from the vertex is therefore, 2·x²
From the vertex (-4, -3) apply the 2·x² pattern by going to the right 1 unit and up 2 × 1² = 2 units to get the point (-4 + 1, -3 + 2) = (-3. -1)
Apply the 2·x² pattern, from the vertex go right 1 up 2 and plot (-3, -1)Step (c);
To get the next point, the 2·x² pattern is applied with x = 2, to the vertex to get; (-4 + 2, -3 + (2×2²)) = (-2, 5)
Apply the 2·x² pattern again, from the vertex go right 2 up 8 and plot (-2, 5)Step (d);
A third point on the graph relative to the vertex is obtained again by applying the 2·x² pattern again to the vertex with x = 3, to get;
(-4 + 3, -3 + (2 × 3²)) = (-1, 15)
Apply the 2·x² pattern a 3rd time, from the vertex go right 3 up 18 and plot (-1, 15)Step (e);
The axis of symmetry can be drawn with a vertical line passing through the vertex, which is the line, x = -4
The line x = -4 can be drawn on the graph next
Draw the axis of symmetry x = -4Step (f);
The points obtained relative to the vertex (-3, -1), (-2, 5), (-1, 15) can reflected about the axis of symmetry x = -4, to get;
(-3, -1) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-5, -1)
(-2, 5) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 5)
(-1, 15) [tex]\underrightarrow {R_{(x = -4)}}[/tex] (-7, 15)
Reflect the points over the axis of symmetry and plot (-5, -1), (-6, 5), and (-7, 15)Step (g);
The parabola that is U shaped can be drawn from the points plotted in the steps above.
Draw a U shaped parabolaLearn more about drawing the graph of a quadratic function here:
https://brainly.com/question/6353430
The sum and difference of two positive numbers are 15 and 5 respectively. Find the numbers.
Answers
[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]
PLSSSS HELPPPP ASAPPPP. REWARDING BRAINLIEST. PLS SHOW WORK
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and show your work.
Answers
Answer: B = 90°; C = 60°
Step-by-step explanation:
B is obviously 90° because of the right angle quadrant.
Since it is a right triangle and A is already 30°, just subtract 30 from 90.
90 - 30 = 60
Thus, C is 60°.
Correct me if I am incorrect.
Which graph represents a function?
Answers
Answer: B
Step-by-step explanation:
Write as an equation/inequality: "The product of four and a number is the sum of the number and twelve."
Answers
Answer: 4x = x+12
Step-by-step explanation:
Find the volume of the sphere. Use 3.14 for pi please help..
Answers
Answer and Explanation: The volume of the sphere is 1.44×10^6 cubic inches(to be specific, 1,436,755 cubic inches). The explanation, which is the formula for the volume of a sphere, is in the image.
Answer:
V≈1.44×106
Step-by-step explanation:
hope this helps
solve the equations 3/4x = 21
Answers
Therefore, the answer is 28.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Write the following numbers in order from least to greatest: -5.6, 7.95, 2.06, 0, -6.89
Please help :)
I think I know it but can someone help me double check
Answers
Answer:
-6.89, -5.6, 0, 2.06, 7.95
Step-by-step explanation:
Hope this helps!
-6.89.-5.6,0,2.06,7.95
Negatives are always lesser values than positives.
Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
592 sq. ft
512 sq. ft
960 sq. ft
800 sq. ft
Answers
Hope this helps!
please help me asap
ty..
Answers
Answer:
Y = 10x + 20
Step-by-step explanation:
sorry if im wrong
Answer:
y = 2x - 4
Step-by-step explanation:
10x - 5y = 20
Subtract 10x both sides
-5y = 20 + (-10x)
Divide by -5
y = -4 + 2x
y = 2x + (-4)
Please answer with an explanation (polynomials)
Answers
Answer:
[tex]-8p^2+10p-3[/tex]
Step-by-step explanation:
[tex](-1+2p)(3-4p)[/tex]
Distribute
[tex]-1(3-4p)+2p(3-4p)[/tex]
[tex]-3+4p+6p-8p^2[/tex]
Then you will organize it into standard form and combine the like terms
[tex]-8p^2+6p+4p-3[/tex]
[tex]-8p^2+10p-3[/tex]
Hope this helps!
Which explanation correctly tells whether these ratios are equivalent and why?
Yes because 3 x 2 = 6 and 14 x 2 = 28.
No because there is no scale factor to get from 3 to 14.
Yes because 3 x 5 = 14 and 6 x 5 = 28.
No because when I use the cross products, 3 x 14 = 42 and 6 x 28 = 168.
Answers
Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.
Step-by-step explanation:This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.
=> Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.=> Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.Hoped this helped.
[tex]BrainiacUser1357[/tex]
given the function f(x)=3x-5, for which value in the domain does f(x)=-38?
Answers
[tex]f(x) = -38\\\\\implies 3x -5 = -38\\\\\implies 3x = -38 +5 \\\\\implies 3x = -33\\\\\implies x = -\dfrac{33}{3}\\\\\implies x = -11[/tex]
f (x) = 3x - 2 - g (x) = 2x + 1
Answers
Answer:
Step-by-step explanation:
The answer is easy it’s 24
Pablo has $5,483 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much will he have in 3 years?
(compound interest formu)
Answers
Answer:
$6347.26Step-by-step explanation:
Given:
Initial amount P = 5483Interest rate r = 5% or 0.05Compound number n = 1Time t = 3 yearsFind the total amount in 3 years:
[tex]A = P(1+r/n)^{nt}[/tex][tex]A = 5483*(1+0.05/1)^{1*3}=5483*(1.05)^3 = 6347.26[/tex]Here we've been given,
Principal amount (p) = $5843 Compound number (n) = 1 Rate of Interest (r) = 5% = 5 × 1/100 = 0.05 Time (t) = 3 years A = ?The standard formula for Compound interest (C.P) is given by,
[tex]:\implies\tt{A = p( { \frac{1 + r}{n} )}^{n \times t} } \\ \\ \\ :\implies\tt{A = 5483( { \frac{1 + 0.05}{1}) }^{1 \times 3} } \\ \\ \\ :\implies\tt{A = 5483 \times {1.05}^{3} } \\ \\ \\ :\implies\tt{A = 6347.26}[/tex]
Find the new amount given the original amount and the percent of change.
$7; 10% increase
The new amount is
Answers
Step-by-step explanation: 7 x 110% = 7 x 1.1 = 7.7
I'm bad at math helpppppp
Answers
Answer:
2x + y = 18
y = 4x - 12
x = 5, y = 8
Step-by-step explanation:
x = 1st number
y = 2nd number
We can use the substitution method as we know what 'y' equals; that value will get plugged in for 'y' in the first equation as follows:
2x + 4x - 12 = 18
6x - 12 = 18
6x = 30
x = 5
y = 4(5) - 12 which is 20-12 or 8
y = 8
the area of a triangle is 162 square meters. the height is 18 meters. what is the base
Answers
Answer:
Triangle Area = (1/2) * base * height
base = 2 * Area / height
base = (2 * 162) / 18
base = 324 / 18
base = 18 meters
Step-by-step explanation:
If (6^2]^p = 6^10, what is the value of p?
A.) 2
B.) 3
C.) 4
D.) 5
Answers
Now you have like bases, so you can set the powers equal to each other. So now, 2p=10. Now p=5
I'm not sure if this s corrct. Can you guys check it for me?
Answers
Answer:
YUP!
Step-by-step explanation:
Let's take the 60 degrees angle first. 180-60=120
3x+x=4x
120/4=30
So you were right!
:))
please help with this
Answers
Answer:
v = 32
Step-by step explanation:
Step-1: Subtract 15 both sides
⇒ v/4 + 15 = 23
⇒ v/4 + 15 - 15 = 23 - 15
⇒ v/4 = 8
Step-2: Use cross multiplication
⇒ v/4 = 8
⇒ v = 8 × 4 = 32
A car travels at an average rate of speed of 60 miles per hour for 72 hours. How many miles does
this car travel?
Answers
Answer:
4320 miles
Step-by-step explanation:
distance= speed× time
60 ×72= 4320
HELP PLEASE!!!!!!!!!!!!
Answers
Simplify, and Write answer without parentheses
Answers
Answer:
w^18
Step-by-step explanation:
exponents are multiplied when there is a parenthesis between them
Answer:
[tex]w^{18}[/tex]
Step-by-step explanation:
the "power to a power" rule allows you to multiply those two exponents. [tex](x^{a} )^{b} =x^{ab}[/tex] is the formula for this rule. in this question, x is w, a is 3, and b is 6. we can multiply the 3 and 6 and get 18 and keep the base the same.
2. List the like terms in each of the following:
i) 6a , 13b2 , -2a , 2a2 , -b2 , bc
Answers
i m not sure about the answer ...
what is 8 1/5 as a improper fraction
Answers
Answer:
41/5
Step-by-step explanation:
So the answer is that 8 1/5 as a decimal is 8.2.
We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.
Find all x-intercepts of the function. Express your answer as a list of x-values.f(x)=4x^4-64
Answers
Answer:
[tex]x=\pm2[/tex]
Step-by-step explanation:
[tex]f(x)=4x^4-64[/tex]
[tex]0=4x^4-64[/tex]
[tex]0=x^4-16[/tex]
[tex]16=x^4[/tex]
[tex]\pm2=x[/tex]
Please help me with my math homework what is the answer!!!
Answers
Answer:
Step-by-step explanation:
The letters are easy enough.
y^3 determines that 3 ys are needed. y^2 is taken in by the cubed.
x^4 determines that 4 xs are needed. x^3 is part of x^4 and you don't need any more xs
12 and 42 are the parts that will cause the problem. Factor them both into prime factors
12: 2 * 2 * 3
42: 2 * 3 * 7
You need two 2s.
You need one 3
You need one 7
LCD = 2 *2*3 * 7 = 84
HELP PLEASEEEEEE ill give u 30 point plays brainly u dont even have to show ur work
Answers
Answer:
1) 32/7
2) 7/5
3) 13/4
4) 32/15
5) 19/2
6) 57/14
Step-by-step explanation:
Use a calculator and/or multiple the coefficients with the value of the denominator then add it to the numerator and multiply.