Answers
We have then:
x: number of devices.
Y: plan charge
For the current plan we have:
[tex]y = 175 [/tex]
For the new plan we have:
[tex]y = 4.5x + 94 [/tex]
Since we want the new plan to be smaller than the current plan, then we have:
[tex]175\ \textgreater \ 4.5x + 94 [/tex]
From here, we clear the value of x:
[tex]4.5x \ \textless \ 175 - 94 x \ \textless \ 81 / 4.5 x \ \textless \ 18[/tex]
Answer:
x <18
Note: The graph is correct
The graph is the region (-∞,18)
i.e. the shaded region to the left of 18 and open circle at 18.
Step-by-step explanation:It was given that the cost of the current plan is: $ 175 per month.
Also, the flat rate of new plan is: $ 94
Also, cost of 1 device is: $ 4.50
cost of x device is: $ 4.50x
Total cost of the new plan for x devices is: $ (94+4.50x)
Now we are asked to find the inequality such that the total cost of new plan is less than the current plan i.e.
94+4.50x < 175
i.e. 4.50x < 175-94
i.e. 4.50x < 81
i.e. x<18
Hence,the graph would be a line to the left of 18 with open circle at 18, since the inequality is strict.
Related Questions
I have another Brainliest
Answers
Ex. To earn volunteer hours, Billy decided not to go to Bob’s birthday party.
In the decimal number 26.513, what number is in the tens place?
Answers
In the decimal number 26.513:
2 is in the tens place.
Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?
Answers
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is find the area of the triangle which will be given by:
A = (1/2) * (b) * (h)
Where
b: base
h: height
Substituting the values we have:
A = (1/2) * (25 1/2) * (15)
A = 191.25 feet ^ 2
Answer:
she will need 191.25 feet ^ 2 to cover the back of the cabin
Bill takes a loan of 9,000.00 at a 8% simple interrst rate for 6 years a.how much interest will he pay after 2 years? b. how much interest will he pay in total for the loan
help plz
Answers
Bill will pay an interest of $1440 after 2 years and a total interest of $4320 over 6 years.
Explanation:The subject of your question is related to simple interest calculation. The formula to calculate the simple interest is I = P * R * T, where I is the interest, P is the principal amount (initial loan), R is the annual interest rate in decimal form and T is time in years.
So when you ask 'how much interest will Bill pay after 2 years?', you plug in your values as follows: I = $9000 * 0.08 * 2 which calculates to $1440.
For the total interest Bill will pay over the 6 years, we substitute the values into the formula again but this time T = 6. So, I = $9000 * 0.08 * 6 which calculates to $4320.
Learn more about simple interest calculation here:https://brainly.com/question/19903178
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Bill will pay $1,440.00 in interest after 2 years and a total of $4,320.00 in interest for the entire loan period of 6 years.
Simple interest can be calculated using the formula Interest = Principal × Rate × Time (I = PRT).
Part A: Interest After 2 YearsThe principal amount is $9,000.00, the interest rate is 8%, and the time is 2 years.
Interest = 9,000 × 0.08 × 2 = 1,440Bill will pay interest of $1,440.00 after two years.
Part B: Total Interest for the LoanAgain, using the same formula but for 6 years:
Interest = 9,000 × 0.08 × 6 = 4,320Bill will pay a total of $4,320.00 in interest over the entire loan period.
What is the coefficient of the term of degree 2 in the polynomial below? x^6+3-2x^2+4x^7-4x a. -2 b. 3 c. -4 d. 4
Answers
x^6+3-2x^2+4x^7-4x
we know that
the term of degree 2 in the polynomial is -2x²
and the coefficient of the term of degree 2 is (-2)
the answer is option a) -2
Answer:
a. [tex]-2[/tex]
Step-by-step explanation:
The given polynomial is
[tex]x^6+3-2x^2+4x^7-4x[/tex]
We rewrite the polynomial in standard form to obtain;
[tex]4x^7+x^6-2x^2-4x+3[/tex]
The term of degree 2 in the polynomial is [tex]-2x^2[/tex].
The coefficient of this term is the constant that is multiplying [tex]x^2[/tex] which is [tex]-2[/tex]
solve
USA Highschool Geometery
Answers
side of length 4 is divided into segments 11 : 13. One is 4*11/24 = 11/6, the other 13/6.
side of length 11 is divided into segments 4 : 13. One is 11*4/17 = 44/17, the other is 11*13/17 = 143/17
side of length 13 is divided into segments 4 : 11. One is 13*4/15 = 52/15, the other is 13*11/15 = 143/15
Help plz!!
Graph of y equals negative 2 times x squared plus 40 x plus 600
Which of the following coordinates is not an intercept for the function?
A. (−10, 0)
B. (0, 600)
C. (0, 800)
D. (30, 0)
Answers
Since you can determine the intercept through the equation y=mx+b and b in this equation is 600 so the answer is C
Answer:
0,800
Step-by-step, explanation: took test and got correct
look at the picture below // PLEASE HELP // 30 points
Answers
Perform the indicated operation. then estimate to see whether the proposed results is reasonable. 11.58 + 11.9 + 9.2
32.68
22.68
33.68
31.68 Preform the indicated operation. Then estimate to see whether the proposed result is reasonable.
93.8 - 6.48
87.32
97.44
87.42
94.34
Preform the indicated operation. Then choose the best answer. 27.7 x 1.9 5.363
52.63
53.62
5.263 Choose the best estimate. 64.1 ÷ 97
641
6.41
0.641
6410 Use estimation to determine whether the result is reasonable or not. 108.93 x 32.6 Result: 355.112 Is it reasonable or not?
Answers
2) 87.32
3) 52.63
4) 0.641
5) Unreasonable, the decimal point should be moved 1 space to the right.
Will give BRAINLIEST!! I REALLY NEED HELP..What is -1/2(-3y+10) as a equivalent expression? pls help me
Answers
= (-1/2)*(-3y) +(-1/2)*(10)
= (3/2)y -5
Another equivalent has a common denominator
= (3y -10)/2
If 10*10 is 100 and 100*100 is 10000 what is 10000*10000???? ; )
Answers
You just have to count the zeros..
10*10 (2 zero) = 100
100*100 (4 zero) =10 000
10 000*10 000 (10 zero) = 10 000 000 000
10000 * 10000 is equivalent to 10,000,000
10² is 10 × 10, which equals 100.
10⁴ is 100 × 100, which equals 10,000.
Following this pattern,
we see that large numbers can be simplified using exponents:
The number 10,000 can be written as 10⁴ because:
10 × 10 × 10 × 10 = 10,000
Now, to calculate 10,000 × 10,000:
10,000 is 10⁴, so this is:
(10⁴) × (10⁴) = 10⁸.
So, 10000 * 10000 = 10⁸ = 100,000,000.
So, 10000*10000 is 100,000,000.
Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix
Answers
Since the radius is 30 m then A = 4pi30^2.
30^2 x 4 =3600
A=3600pi m
PLEASE ANY HELPFUL PERSON HELP!!!!!!
Answers
4.5x < 175 - 94
4.5x < 81
x < 81/4.5
x < 18
Math help.... Please....
This doesn't make any sense to me. Pls help me. I'm not begging, but this problem has been stumping me and I don't understand how to do it.... I'm using 99 points to give to a person who maybe can help me. I will give Brainliest if you are correct.
Thank you so very kindly.
When Julia dumped out the big jar of dimes and nickles she found 287 coins. If there was $20.50 in the jar, how many of each kind of coin was there??
Don't answer this unless you actually are answering the question!!! If you have any questions, or it doesn't make sense, please say something in the "Ask for Details" section.
Thanxs again!!!
Answers
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.
Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
0.05(164) + 0.10(123) = 20.50
8.2 + 12.3 = 20.50
20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.
I hope this helps!
~ Notorious Sovereign
Answer:First, you want to solve for the equation for this problem, would be:
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.
Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
0.05(164) + 0.10(123) = 20.50
8.2 + 12.3 = 20.50
20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.
I hope this helps you
The area of a rectangular swimming pool is
10x2 – 19x – 15. The length of the pool is 5x + 3.
What is the width of the pool?
Answers
In the previous problem, Ken predicted a drop in temperature. Explain why a drop in temperature would lead to adding a negative integer.
Answers
Answer:
Because a drop in temperature means decrease in temperature therefore, we take an integer with negative sign and added to previous temperature.
Step-by-step explanation:
Drop in temperature means decrease in the temperature .When the temperature decreases then we take decrease value of temperature in negative integer. Because decrease means the temperature fall down .Hence , the decrease in temperature measure with negative sign .
For example, if we take temperature T= 70°C.
If the temperature decreases by 5°c then the temperature
Decrease in temperature=-5°C
Hence, the temperature T= 70+(-5)=65°C.
Therefore , from example we can say that when temperature decreases by some value in integer . Then ,we get final temperature obtained by adding drop in temperature ( negative integer ) in previous value of the temperature.
Ken is adding a ribbon border to the edge of his kite.Two aides of the kite measure 9.5 inches,while the other two sides measure 17.8.How much ribbon does Ken need?
Answers
9.5 times 2 is 19
17.8 times 2 is 35.6
19 plus 35.6 is 54.6 inches
There are 54.6 inches ribbon does Ken need.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Ken is adding a ribbon border to the edge of his kite.
Here, Two aides of the kite measure 9.5 inches, while the other two sides measure 17.8.
Hence, Total length of ribbon is,
⇒ 2 × 9.5 + 2 × 17.8
⇒ 19 + 35.6
⇒ 54.6 inches
Thus, There are 54.6 inches ribbon does Ken need.
Learn more about the addition visit:
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Can anyone please help
Answers
9)
∠DBC=90-54=36°
∠CAD=∠DBC=36°
10)
∠BOC=1/2(360-2*100)=1/2*160=80°
∠l=1/2∠AOD=1/2∠BOC=40°
11)
JL=10
JA=7==>AL=10-7=3
LC=AL=3
LK=11
CK=11-3=8
KB=KC=8
BJ=JA=7
perimeter=10+11+15=36
Figure ABCD is rotated 90°counterclockwise about the origin. Which of the following gives the correct measure of an image of one of its sides?
B'C' = √17
C'D' = √10
D'D' = 5
A'B' = √17
Answers
What would happen to the buying power of your investment after one year if your rate of return was 3% and the rate of inflation was 3%?
Answers
Given:
Rate of return = 3%Rate of inflation =3%
Buying Power = 3% - 3% = 0%
Thus, the buying power will remain same for the year.
Suppose you are given the graph of y = f (x) . Explain how to obtain the graphs of
a. y = f (x / 2)
b. y = f (x - 2)
c. y = f (2 x - 1)
Answers
.. f(x) ⇒ f(kx) . . . . . . horizontal compression by a factor of k
.. f(x) ⇒ f(x -k) . . . . . right shift by k units
a) Each point (x, y) gets moved to (2x, y). The graph is expanded horizontally by a factor of 2.
b) Each point (x, y) gets moved to (x+2, y). The graph is translated horizontally 2 units to the right.
c) Each point (x, y) gets moved to ((x +1)/2, y). The graph is translated horizontally 1 unit to the right, then compressed horizontally by a factor of 2.
What is the exact value of sin 30° ?
Enter your answer, as a simplified fraction, in the box.
Answers
1. By defnition, sine is one of the trigonometric functions. The sine of an angle can be written as below: "sin(α)".
2. The sine of 30 degrees, is:
sin(30°)=1/2
3. Therefore, the answer for the exercise shown above: sin(30°)=1/2
How do you write 230% as a fraction or mixed number in simplest form?
Answers
If your credit score is 750, how much will you pay in interest by the end of 1 month if you owe $2,375.00?
$31.17
$24.74
$18.31
$11.38,
Answers
The interest is 1/12
Then 9.25% multiplied by the $2,375 balance
(0.0925 * 2375) / 12 = 219.69
=219.69 / 12
= $18.31
Answer:
$18.31
Step-by-step explanation:
Credit score = 750
Period (n) = 1 month
Debt = $2375
Since the score is 750, from the table annual rate = 9.25%
Monthly rate (r) = 9.25/12 = 0.7708%
Interest =.PRT/100
P= principal amount
R= rate
T = time taken
Interest = (2375*0.7708*1)/100
= 18.6065
= $18.31 (approximately )
SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building?
Please round to the tenths place.
Please show work/steps and provide units with your answer.
2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is
9/
. What is the value of cos P?
A.9/41
B.41/9
C.40/41
D/41/40
Answers
The distance between the person and the building can be written as:
[tex]x=c\cdot \cos(\theta)[/tex]
C would be the line connecting the top of the building and the person(hypotenuse).
The height of the building is:
[tex]h=c\cdot \sin(\theta)[/tex]
If we get the c from the first equation and plug in the second one we get:
[tex]h=\frac{x}{\cos(\theta)}\cdot\sin(\theta)=x\cdot \tan(\theta)=32ft\cdot3.45=110.4$ft[/tex]
Part 2
If we P and Q are complementary that means that they sum is 90 degrees.
Because of this sin(Q) must be the same as cos(P).
Sum of the angles in any triangle is 180 if we have a right triangle and two complementary angles that means that those two angles have to be 45 degrees. Sin and cos are the same for the 45-degree angle.
I attached the diagram that would make this clear.
Please help if you know how to do this type of math! :)
Answers
Area = (L1 + L2)*h/2
L1 = 10.2
L2 = 12.2
h = 12.6
all givens are in cm.
Area = (10.2 + 12.2)*12.6/2
Area = 22.4 * 6.3
Area = 78.12 cm^2
plz help me on this question
Answers
So the answer is:
g(x) = f(x) - 2
(B)
Someone please explain how the GCF of x^4 and x^3 equals x^3. This has me stumped.
Answers
GCF is the greatest common factor. its the value of the factors that are common to both the numbers being compared. In other words the product of the factors that are common to both numbers or the greatest factor common to both numbers.
factors of x⁴ = x * x * x * x = (x * x * x) * x
factors of x³ = x * x * x = (x * x * x)
factors common to both are (x * x * x) Therefore GCF is x³
A water tank has the shape of an inverted right circular cone of altitude 12 ft and base radius 6 ft. if water is being pumped into the tank at a rate of 10 gal/min, approximate the rate at which the water level is rising when it is 3 ft deep
Answers
.. π(1.5 ft)^2 = 2.25π ft^2
The rate of rise is then
.. (10 gal/min)*(77/576 ft^3/gal)/(2.25π ft^2) ≈ 0.18911 ft/min
_____
The rate of change of depth is equal to the rate of change of volume divided by the surface area. Here's how you can get there from derivatives.
V = (1/3)Bh
V' = (1/3)(B'h +Bh')
Here we have B = π(h/2)^2 = (π/4)h^2, so B' = (π/2)h*h'
V' = (1/3)((π/2)*h^2*h' +(π/4)h^2*h')
V' = (π/4)h^2*h'
V' = B*h'
What is 6 divided by 1/3
Answers
to find the answer, you must flip the second fraction, and change the division into a multiplication
6 x 3
6 x 3 = 18
18 is your answer
hope this helps