the phone company splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. if a customer uses 150 minutes, the monthly cost will be $83. if the customer uses 980 minutes, the monthly cost will be $332. A) Find an equation in the form y- mz +b, where z is the number of monthly minutes used and y is the total monthly of the Splint plan. Answer: Preview Do no use any commas in your answer B) Use your equation to find the total monthly cost if 624 minutes are used Answer: If 624 minutes are used, the total cost will be dollars.
Answers
If 624 minutes are used, the total cost will be dollars is $2,493.92.
Part A :
With the information given in the problem, we know that (i) "if a customer uses 150 minutes, the monthly cost will be $83" and (ii) "if the customer uses 980 minutes, the monthly cost will be $332."
From the information given in (i), we can set up the equation where y = total monthly payment = 83, x = minutes = 150, and where b = monthly fee which is an unknown value.
This gives the equation : y = mx+b --> 83 = 150m + b
*Note: m = the slope = rate, which can be defined as the $/min.
From the information given in (ii), we can set up the equation where y = total monthly payment = 332, x = minutes = 980, and where b = monthly fee which is an unknown value.
This gives the equation: y = mx + b --> 332 = 980m + b
At this point, we have two equations with two unknown values, m and b which are constant in both equations. The values that were given are the (x,y) values. To find the unknown m and b values, we can first use an equation to isolate one of the variables.
Solving for m:
From the first equation, b = 83 - 150m.
We can substitute this value of b into the second equation: 332 = 980m + (83 - 150m)
Solve for m:
332 - 83 = 980m - 150m
249 = 830m
m = 3.33
Solving for b:
From the first equation, since solving for m, we know that 83 = 150(3.33) + b
Now, we know that b = 83 - (150)3.33 = 416.50
Answer for Part A: y = 3.33 x + 416
Part B:
Using the equation y = 3.33 x + 416, we can substitute 624 minutes for x.
y = 3.33 (624) + 416
y = 2493.92
Answer for Part B: If 624 minutes are used, the total cost will be $2,493.92.
Hence the answer is If 624 minutes are used, the total cost will be dollars is $2,493.92.
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Related Questions
Diego Is filling a 1- gallon jug With tea and lemonade. the total amount is less than 1 gallon. what could be the two different amount of tea and lemonade?
Answers
A man has to drive 40 more miles to a meeting in Indianapolis compared to Chicago,
which is 160 miles away. What is the percent increase in the number of miles to
Indianapolis?
Answers
Answer:
25% i believe
Step-by-step explanation:
40 is 1/4 (or 25%) of 160
How did the temperature change? First, it increased by 5 percent and then it increased by 20 percent
Answers
Answer:
The temperature increased by 15%
in a binomial experiment the variable is the number of successes in a fixed number of trials and the probability of success is the same for each trial. which two of the following statements also describe features of a binomial experiment? multiple select question. the trials represent selection without replacement. trials are independent. the outcome of a trial can be classified as either a success or a failure. the distribution is always symmetrical.
Answers
The symmetry of the distribution depends on the probability of success and the number of trials, as it can be skewed when the probability of success is not equal to 0.5.
A binomial experiment is characterized by certain features, and among the statements provided, the two that accurately describe these features are:
1. Trials are independent: In a binomial experiment, each trial is conducted independently of one another, meaning the outcome of one trial does not affect the outcome of any other trial. This independence ensures that the probability of success remains constant across all trials.
2. The outcome of a trial can be classified as either a success or a failure: In a binomial experiment, there are only two possible outcomes for each trial - success or failure. This simplifies the experiment's setup and makes it easier to calculate probabilities, as it focuses on the number of successful outcomes out of a fixed number of trials.
The other two statements are not accurate descriptions of a binomial experiment. The trials do not represent selection without replacement, and the distribution is not always symmetrical.
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Answer please! I DONT UNDERSTAND!!!
Answers
Answer:
Step-by-step explanation: first you would graph them... for the first equation you would start at -2 and go up one left one and for the next equation you would start at 8 and go down one right one
Your aunt offers you a choice of $22,000 in 17 years or $950 today. At a discount rate of 20 percent, how much is your aunt's offer of $22,000 worth today? (Enter your answer as a positive number rounded to 2 decimal places.) If you invest $12,500 today, how much will you have in each of the following cases? Enter all answers as positive amounts. a. In 8 years at 7 percent? (Round your final answer to 2 decimal places.) b. In 17 years at 10 percent? (Round your final answer to 2 decimal places.) c. In 20 years at 12 percent (compounded semiannually)? (Round your final answer to 2 decimal places.)
Answers
At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.
To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.
For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.
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Solve for x.
√x+3 = 2√x-2
Answers
Answer:
To solve for x, we can start by squaring both sides of the equation:
(√x+3)² = (2√x-2)²
On the left side, we have:
(√x+3)² = x + 6√x + 9
On the right side, we have:
(2√x-2)² = (2√x)² - 2(2√x)(2) + 2² = 4x - 8√x + 4
So now we have:
x + 6√x + 9 = 4x - 8√x + 4
Grouping like terms, we can simplify this to:
10√x - 3x + 5 = 0
Now we can solve for x by isolating the radical term and squaring both sides:
10√x - 3x + 5 = 0
10√x = 3x - 5
(10√x)² = (3x - 5)²
100x = 9x² - 30x + 25
Moving all the terms to one side, we get:
9x² - 130x + 25 = 0
We can now solve this quadratic equation by factoring or using the quadratic formula. Factoring, we have:
(3x - 5)(3x - 5) = 0
So the solution is:
3x - 5 = 0
3x = 5
x = 5/3
Therefore, the solution to the equation √x+3 = 2√x-2 is x = 5/3.
Step-by-step explanation:
I need someone’s help please I don’t know this that well
Answers
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
Graph equation Chose a graph that represents the given equation in the picture.
Answers
The general equation for a linear equation is:
\(y=mx+b\)the y-intercept is b and m represents the slope.
the slope can be understood as the change in y over a specified interval in x
\(m=\frac{\Delta y}{\Delta x}\)then, form the equation:
\(y=\frac{2}{3}x+2\)we know that it needs to pass through the point (0,2) as the y-intercept and the slope is a positive, meaning that the line needs to be increasing as x gets bigger.
Answer:
The correct graph is the second option
This would really help if you answered. I'll set it to a pretty decent amount of points
Answers
Answer: Not always the same
Step-by-step explanation:because as its shown every amountof tuna is not the same.
Answer: the price is not always the same/9 pounds
Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6
A bicyclist rides 12 miles in 132 minutes. If she continues at this speed, how long will it take her to travel 66 miles?
Answers
Answer:
726 minutes
Step-by-step explanation:
Answer:
its 726
Step-by-step explanation:
Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Answers
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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if u evenly divide 3/4 of a pizza among 3 people. How much will each person get?
Answers
The blue segment below is a radius of oo. What is the length of the diameter
of the circle?
A. 4.9 units
B. 14.7 units
C. 9.8 units
D. 19.6 units
Answers
Answer:
D. 19.6 unitsStep-by-step explanation:
diameter = 2r
where r = 9.8
plugin value of r = 9.8 into the formula:
diameter = 2(9.8)
= 19.6 units
The length of the diameter of the circle is option D 19.6 units.
What is the diameter?Diameter is defined as the line from one point in the circle to the other point through the center of the circle.
WE know that the diameter = 2r
where r = 9.8
Substitute value of r = 9.8 into the formula:
The diameter = 2(9.8)
The diameter = 19.6 units
Hence, the length of the diameter of the circle is option D 19.6 units.
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Will rank brainliest!!
Answers
Explanation: Subtract 32 degrees from 78 degrees and you will get your answer.
Answer:
x=46 degree
Step-by-step explanation:
32 +x=Angle ABC
32 + x =78 degree
x=78 - 32
x=46 degree
Solve for x ∼
\(\color{purple} \large\frak{3x + 5 = 3(x - 5)}\)
\( \\ \\ \\ \\ \\ \\ \\ \\ \)
Ty
————————————————————————
Answers
3x + 5 = 3x - 15
3x - 3x = -15 - 5
0 = - 20
Problem can't be solved
\(3x+5=3(x-5)\)
Distribute numbers outside of parentheses:
\(3x+5=(3)(x)+(3)(-5)\)
\(3x+5=3x-15\)
Subtract 3x from both sides:
\(3x+5-3x=3x-15-3x\)
\(5=-15\)
Subtract 5 from both sides:
\(5-5=-15-5\)
\(0=-20\)
\(\fbox{No solution}\)
Devon is hired by the city to create a scale mural of a local park. devon is exactly 6 feet tall but in the mural, he is 4.5 feet tall. if the tree in the park is 30 feet tall, how tall should the tree be in the mural?
Answers
The tree should be 22.5 feet tall in the mural.
To determine the height of the tree in the mural, we can set up a proportion based on the scale ratio between Devon's height and the height of the tree.
Let's denote the height of the tree in the mural as 'x'.
According to the given information:
Devon's actual height: 6 feet
Devon's height in the mural: 4.5 feet
Tree's actual height: 30 feet
Setting up the proportion:
(Devon's height in the mural) / (Devon's actual height) = (Tree's height in the mural) / (Tree's actual height)
Substituting the given values:
4.5 feet / 6 feet = x / 30 feet
To solve for 'x', we can cross-multiply:
4.5 feet * 30 feet = 6 feet * x
135 feet = 6x
Divide both sides by 6:
x = 135 feet / 6
Simplifying the division:
x = 22.5 feet
Therefore, in the painting, the tree should stand 22.5 feet tall.
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find the value of x, y, v and w
Answers
Now,
x + 35° = 180° ( Co - interior angle )
◆ x = 145°
Then,
◆ y = x = 145° ( Vertically Opposite angle )
Again,
v + 43° = 180° ( Co - interior angle )
◆ v = 137°
Then,
v + w = 180° (Co - interior angle )
137° + w = 180°
w = 180° - 137°
◆ w = 43°
I hope it's help you...
Mark me as brainliest...
find u.(v x w)
u = (6,0,0)
v = (1,1,1)
w + (0,6,6)
Answers
u x (v x w) = (-36, 36, 0), The vector u x (v x w) is equal to (-36, 36, 0). then take the cross product of u with the result.
To find u x (v x w), we need to calculate the cross product of v and w first and then take the cross product of u with the result.
Cross product of v and w:
v x w = (1, 1, 1) x (0, 6, 6)
= (6, -6, 6)
Now, taking the cross product of u and the above result:
u x (v x w) = (6, 0, 0) x (6, -6, 6)
= (0*(-6) - 0*6, 0*6 - 0*6, 6*(-6) - 6*0)
= (-36, 36, 0)
The vector u x (v x w) is equal to (-36, 36, 0).
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Can someone pls answer this if u do then I love u
Answers
Answer:I think it’s a
Step-by-step explanation:
82837848+8383830.84-73327.00.73 =?
Answers
Answer:
91148351.8327
Step-by-step explanation:
Calculator
Given a collection of 2023 closed squares of total area 4, prove that they can be arranged to cover a unit square (overlaps are allowed)
Answers
We can arrange the 2023 squares to cover the unit square, with overlaps allowed.
We can prove that a collection of 2023 closed squares of total area 4 can be arranged to cover a unit square by using the pigeonhole principle. Since the total area of the squares is 4, the average area of each square is 4/2023. Let's take a unit square and divide it into 2023 smaller squares of area (1/2023) each. By the pigeonhole principle, we can assign one of the 2023 squares to each of the smaller squares. Since the average area of each square is 4/2023, each of the assigned squares will overlap with at most 4 other squares. Therefore, we can arrange the 2023 squares to cover the unit square, with overlaps allowed.
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Madelyn has x nickels and y dimes, having a maximum of 15 coins worth no
less than $1 combined. At least 2 of the coins are nickels and at least 9 of the
coins are dimes. Solve this system of inequalities graphically and determine
one possible solution.
Answers
9514 1404 393
Answer:
2 nickels, 9 dimes
Step-by-step explanation:
When there are a number of overlapping shaded areas on the graph, I find it convenient to use the reverse of the inequalities. That makes the unshaded area the solution space. Here, the vertices of the triangular solution space are ...
(2, 9), (2, 13), (6, 9)
Any of the grid points within (or on) this triangle is a possible solution. One of them is (2, 9) corresponding to 2 nickels and 9 dimes.
__
Three solutions are shown:
(x, y) = (2, 9), (3, 10), (4, 11)
the rectangular prism is onlu partially filled with 1 unit cubes. how many unit cubes will it take to completly fill the figure?
Answers
Multiplying these values, we get 20x3=60. Therefore, it will take 60 unit cubes to completely fill the rectangular prism.
To find the number of unit cubes required to completely fill the rectangular prism, we need to know the total number of unit cubes that can fit inside the prism. We can determine this by counting the number of unit cubes that can fit in one layer of the prism, and then multiplying it by the number of layers in the prism.
Let's assume that the dimensions of the rectangular prism are length (L), width (W) and height (H), and that it is partially filled with unit cubes. We can count the number of unit cubes in one layer of the prism by multiplying L by W. This gives us the area of the base of the prism, which is the number of unit cubes that can fit in one layer.
Next, we need to count the number of layers in the prism. This is simply the height (H) of the prism. Once we have both these values, we can multiply them to find the total number of unit cubes required to fill the prism.
For example, if the dimensions of the rectangular prism are L=4, W=5 and H=3, and it is partially filled with unit cubes, we can count the number of unit cubes in one layer as 4x5=20. The number of layers in the prism is 3. Multiplying these values, we get 20x3=60. Therefore, it will take 60 unit cubes to completely fill the rectangular prism.
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Find the lowest common multiple of 15 and 12
Answers
Answer:
its 60
Step-by-step explanation:
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. What is the total amount she earned over these three days? $ Day Item Price 1 Sofa Chair $350 N Loveseat $500 3 Couch $1,200
Answers
Answer:
Step-by-step explanation:
46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08
ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08
Answer: 614
Step-by-step explanation:
because i did it on edge 2020
Tell me about something you love! It could be a special interest, game, book, person, movie, etc.. Just ramble.
(i just wanted to give people a chance to talk about their interests)
Answers
i like mantises! their cute funky bugs. they can turn their heads 180 degrees and are the only insect that can move their head. there are around 2,000 spices of them, most live in tropics, but 18 types are in north America. I have a praying mantis pet, and her name is creature, shes about 6 inches long!
what's a variable?????????????
Answers
Answer:
In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.
Step-by-step explanation:
Answer:
VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.
CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w
EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.
TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.
What is BC in simplest radical form
Answers
Answer:
Step-by-step explanation:
Draw altitudes from A and D to get two 30°-60°-90° triangles.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
BC = 3√3 + 16 + 9√3 = 16 + 12√3
The value root of 46 of lies between which two consecutive integers
Answers
Answer:
6 and 7
Step-by-step explanation: