A cell phone company charges an initial price of $500 for a new phone and then $60 each month after the purchase. if c (t) is a rational function that represents the average monthly cost of owning the cell phone, what is the range of the function? (2 points) r: (0, 500) r: (60, 560) r: ℠r: (−[infinity], [infinity])
Answers
The range of the given function is: (500, ∞).
What is the range of a function?The collection of potential output values for a function is known as its range.
Now,
Given:
Initial price of the cell phone = $500Monthly charge = $60Let 't' be the number of months. Then, the function C(t) can be calculated as:
C(t) = 500 + 60t
For range:
The minimum value will be when t = 0, i.e., when no charge has been charged by for each month.
Thus, C(0) = 500 + 60(0)
=> C(0) = 500
The maximum value will be when t = ∞, i.e., for infinite number of months.
=> C(∞) = 500 + 60(∞)
=> C(∞) = 500 + ∞
=> C(∞) = ∞
Thus, the range of the function will be: (500, ∞).
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Related Questions
Describe the relationship between the 6
Answers
The relationship between the 6 in 45,369 and the 6 in 67,420 is that; Clearly, they are not the same values. When written out, 45,369 has a 6 in the tens place, whereas 67,420 has a 6 in the hundreds of thousands place. This is further explained below.
What are relations b/w numbers?Generally, A percentage is another name for this concept. One variant of this word is the "percent," which refers to the ratio of the number of items in a collection to the total number of items in the collection.
In conclusion, natural numbers are a component of the number system that counts from one to infinity and contains all positive integers from one to infinity. Natural numbers are also utilized for the purpose of counting. It does not contain zero (0). In point of fact, the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, etc. are sometimes referred to as counting numbers.
The six that are found in the number 45,369 and the six that are found in the number 67,420 are related in the sense that; Obviously, these are not the same values. In written form, the number 67,420 has a six in the tens place, but the number 45,369 has a six in the hundreds of thousands place.
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Mrs. Hazen bought 4.5 pounds of bananas to make a banana cream pie. There are 16 ounces in a pound. How many ounces of bananas did Mrs. Hazen purchase?
Answers
Mrs. Hazen purchased 72 ounces of bananas to make a banana cream pie, considering that there are 16 ounces in a pound and she bought 4.5 pounds.
To determine the number of ounces of bananas purchased, we need to multiply the number of pounds by the conversion factor. In this case, Mrs. Hazen bought 4.5 pounds of bananas, and since there are 16 ounces in a pound, we can multiply 4.5 by 16 to find the total number of ounces.
Mathematically, the calculation would be: 4.5 pounds * 16 ounces/pound = 72 ounces.
Thus, Mrs. Hazen purchased 72 ounces of bananas to make her banana cream pie. This conversion is necessary to ensure accurate measurements since the weight of the ingredients is typically expressed in pounds or ounces in recipes.
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–3x + 5 = –3x + 10 A. 5/6 B. –5/6 C. no solution D. Idenity
Answers
Answer:
The answer would be C. no solution
Step-by-step explanation:
I hope this helped!
Determine whether the underlined value is a parameter or a statistic. In a national survey on substance abuse, 66.4% of respondents who were full-time college students aged 18 to 22 reported using alcohol within the past month. Is the value a parameter or a statistic? a. Statistic b. Parameter
Answers
the difference between a statistic and a parameter is that a statistic is calculated using a sample of data while a parameter is calculated using the entire population data.the correct option is a. Statistic.
The underlined value in the statement given is a statistic. A statistic is a measure that is calculated using a sample of data, whereas a parameter is a measure that is calculated using the entire population data.
The percentage of respondents who reported using alcohol within the past month is a statistic. It is obtained from a survey on substance abuse involving only full-time college students aged 18 to 22 years.
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In the context of hypothesis testing, what is a test statistic?
a. The confidence level that is to be used to except or reject the null hypothesis.
b. A parameter determine from a sample, such as mean or standard deviation, used to test a hypothesis.
c. A value, determined from sample information, used to test the null hypothesis.
Answers
In the context of hypothesis testing, a test statistic is; c. A value, determined from sample information, used to test the null hypothesis.
How to Interpret Hypothesis Testing?Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample. The null hypothesis is said to be a hypothesis where no important difference between the random variables
The test statistic is defined as a value that is computed from the sample data that is used when making a decision about whether or not to reject the null hypothesis.
Looking at the options and based on the definitions above, option C adequately describes the test statistic.
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Which property of equality was used to solve this equation
9x = 88
9x/9=88/9
X+9 7/9
A.addition property of equality
B.subtraction property of equality
C.multiplication property of equality
D.division property of equality
Answers
Answer:
Step-by-step explanation:
Given the equation 9x = 88, to get the value of x we will apply the division property of inequality. The division property of equality is the property applied to an expression by dividing both sides of an expression with the same constant without compromising the equality sign i.e after division, the expression at both sides of the expression still remains unchanged.
From the expression
9x = 88
Divide both sides by the coefficient of x i.e 9 (division property of equality)
9x/9=88/9
x = 9 7/9
Hence the property that was used to solve the equation is the division property of equality
Answer:Division property of equality
Step-by-step explanation: I did the quiz
Which two triangles are congruent by the SSS Theorem? Complete the congruence
statement.
Answers
Write in standard form
iii)
0.0000574
Answers
Answer:
Forest are going up
Step-by-step explanation:
Because leeds will bottle it
You estimate that a baby pig weighs 20 pounds. The actual weight of the baby pig is 16 pounds. Find the error.
Answers
Answer:
You just estimated
Step-by-step explanation:
4x+5=x(x+8) how do I solve this?
Answers
Answer:
\(x=1,-5\)
Step-by-step explanation:
\(We\ are\ given\ that,\\4x+5=x(x+8)\\Hence\ by\ expanding\ the\ terms,\\4x+5=x^2+8x\\Hence\ by\ moving\ 4x\ and\ 5 to\ the\ RHS\ ,\\0=x^2+8x-4x-5\\Hence\ by\ simplifying\ the\ RHS,\\0=x^2+4x-5\\Now,\\We\ take\ a\ closer\ look\ at\ the\ RHS,\\x^2+4x-5\ can\ also\ be\ written\ as:\\=x^2+5x-x-5\\Now, By\ factorizing,\\x(x+5)-1(x+5)\\=(x-1)(x+5)\\Hence,\\(x-1)(x+5)=0\\Now,\\To\ nullify\ the\ LHS\ to\ 0,\ either\ the\ term\ (x-1)\ or/and\ (x+5)\ should\ equate\ to\ 0.\\Hence,\\x-1=0\\\)\(x=1\ is\ our\ first\ solution\\(x+5)=0\\x=-5\ is\ our\ second\ solution\\Hence,\\x=1,-5\)
Solve for x :
0.4 ( 2 – 4) +0.6x = 1.4
A. x = 2
В.x = 5.4
c.x = -0.2
D.x = 3
Answers
Find the value of x in the givenright triangle.12x = [?1°х5Enter your answer as a decimal rounded to thenearest tenth.
Answers
We are given that we need to find the value of x based on two sides of a triangle (12 and 5).
We are given the side that is adjacent to the angle and the hypotenuse. This means we will use the cosine ratio (CAH).
Therefore, we will find the inverse of cosine at this value.
\(\cos ^{-1}=(\frac{5}{12})=65.37\approx65.4\)Therefore, the measure of x is equivalent to approximately 65.4 degrees.
solving using elimination 5x+ 6 y = -19 5 x + 5 y = -20
Answers
We have to solve this system of equations by elimination.
We can substract the second equation directly from the first equation in order to cancel x.
Then, we can solve for y:
\(\begin{gathered} (5x+6y)-(5x+5y)=-19-(-20) \\ 5x-5x+6y-5y=-19+20 \\ 0x+1y=1 \\ y=1 \end{gathered}\)With the value of y, we can solve for x:
\(\begin{gathered} 5x+5y=-20 \\ 5x+5\cdot1=-20 \\ 5x+5=-20 \\ 5x=-20-5 \\ 5x=-25 \\ x=-\frac{25}{5} \\ x=-5 \end{gathered}\)Answer: x=-5 and y=1
The sum of b and 3
Please this really important
Answers
Answer:
The answer to the question is b+3 (if you need an equation)
The lengths of all sides are different in which type of triangle?.
Answers
Answer: Scalene Triangle
Step-by-step explanation:
Answer:
Scalene Triangle
Step-by-step explanation:
Scalene Triangle: All sides are different
Isosceles Triangle: 2 sides are the same
Equilateral Triangle: All sides are the same.
ill mark u brainliest
Answers
Answer:
The slope represents the number of cookies sold for each dollar.
Answer: it is C
Step-by-step explanation: each point is a number boxes sold and some profit
what was the mean number of miles the hiker walked for the 6 days?
Answers
Answer:
Incomplete question
...
Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled "winner. "
Let X = the number of spins until Marshall wins a prize.
What is the probability that Marshall wins a prize on his 2nd spin?
Recall: P(X = k) = (1 – p)k–1p
Round to 4 decimal places
Answers
The probability that Marshall wins a prize on his second spin = 0.1875
Consider an event X = the number of spins until Marshall wins a prize.
Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.
So, the sample space n = 4
For given event x, the possible outcomes = 1
Using the formula of probability,
p = x/n
p = 1/4
p = 0.25
So, the probability of success p = 0.25
q = 1 - p
q = 1 - 0.25
q = 0.75
To find the probability that Marshall wins a prize on his 2nd spin.
Using formula, \(P(X = k) = (1 - p)^{k-1}p\)
For k = 2,
\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)
P(X = 2) = 0.75 × 0.25
P(X = 2) = 0.1875
Thus, the required probability is 0.1875
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If a plastic cup costs #80.00 and 1/2 dozen of it costs #420.00,find the discount of 1/2 dozen
Answers
Answer: 60
Step-by-step explanation:
Cost of 1 cup = 80
Actual cost of 6 cups = 80 x 6 = 480
1/2 dozen cups were bought for 420
Discount 480 - 420 = 60
(8th grade math) how do i do this???
Answers
Answer:
y = 5, y = -5
Step-by-step explanation:
In this question, you would have to solve the equation for "y".
Solve:
-3y² = -75
Divide both sides by -3.
y² = 25
Square root both sides to cancel out the exponent.
√y² = √25
y = ±√25
Simplify the square root for both positive and negative terms.
y = 5
y = -5
Your final answer would be y = 5 and y = -5
Can someone help me!!
Pls!
Answers
Answer:
s=+5, -5
Step-by-step explanation:
4s²=100
s²=100/4
s²=25
s=√25
s=±5
reak-Even and Target Proff Analyels LO5-4, LO5-5, LO5-6 Outback Outfitters sells recreational equipment. One of the company's products, a small camp stove, sells for $50 per unit. Variable expenses are $32 per stove, and fixed expenses associated with the stove total $108,000 per month. Requlred: 1. What is the break-even point in unit sales and in dollar sales? 2. If the variable expenses per stove increase as a percentage of the selling price, will it ressit in a higher or a lower break-even point? Why? (Assume that the fixed expenses remain unchanged.) 3. At present, the company is selling 8;000 stoves per month. The sales manager is convinced that a 10% reduction in the selling price would result in a 25% increase in monthly sales of stoves. Prepare two contribution format income statements, one ander present operating conditiors, and one as operations would appear after the proposed changes. Show both total and per unit data on your statements. 4. Refer to the data in (3) above. How many stoves would have to be sold at the new selling price to attain a target profit of $35,000 per month?
Answers
1. The break-even point in unit sales and in dollar sales is 4,500 units and $324,000 respectively.
2. If the variable expenses per stove increase as a percentage of the selling price, will it result in a higher break-even point.
3. Income statements before and after changes are implement net income of $36,000 and $(28,000) respectively.
4. The company has to sell 5,401 units to achieve the target profit of $35,000 per month.
1. The break-even point in unit sales and dollar sales is computed as follows:
Break-Even Point in Unit Sales = Fixed Costs / Contribution Margin per Unit = $108,000 / ($50 - $32) = 4,500 units
Break-Even Point in Dollar Sales = Fixed Costs / Contribution Margin Ratio = $108,000 / ($50 / $18) = $324,000
2. If variable expenses per stove increase as a percentage of selling price, it will result in a higher break-even point. Since variable expenses would have a higher percentage of revenue, contribution margin would be lower, making it more challenging to cover fixed costs.
3. Present Income Statement
Sales (8,000*$50) $400,000
Less variable expenses (8,000*$32) (256,000)
Contribution Margin $144,000
Less fixed expenses 108,000
Net Income $36,000
Income Statement if Changes are Implemented
Sales (8,000*$45) $360,000
Less variable expenses (8,000*$35) (280,000)
Contribution Margin $80,000
Less fixed expenses 108,000
Net Loss $(28,000)
4. The contribution margin ratio is 36% ($18/$50). So, the sales revenue required to achieve the target profit is:
$35,000 / 0.36 = $97,222
The number of units required to be sold is:
$97,222 / $18 = 5,401 units
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A rectangular enclosure at the zoo is 35 feet long by 18 feet wide. The zoo wants to double the area of the enclosure by adding the same distance x to the length and width. Write and solve an equation to find the value of x. What are the dimensions of the enclosure?
Answers
Answer:
the value of x is 10
Step-by-step explanation:
The new length is 35+10=45 and the new width is 18+10=28.
What is Area of Rectangle?Area of rectangle is length times of breadth.
Given that enclosure at the zoo is 35 feet long by 18 feet wide. It means length is 35 feet and width is 18 feet.
Area of Rectangle=Length × Width
=35×18
=630
The zoo wants to double the area of the enclosure by adding the same distance x to the length and width.
(35+x)×(18+x)=1260
630+35x+18x+x2=1260
x2+53x+630-1260=0
x2+53x-630
Now use the quadratic formula we get
x=10.
The new length is 35+10=45
The new width is 18+10=28.
Hence the new length is 35+10=45 and the new width is 18+10=28.
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Giving brainlyist......
Answers
Answer:
159 / 13 = 12.2307692
13 x 12 = 156
159 - 156 = 3
12 bags will be filled
3 oranges will remain
Have a lovely day!
A cylinder has a radius of 4 centimeters and a height of 12 centimeters. A smaller cylinder has linear dimensions that are one-fourth the dimensions of the larger cylinder. Compare the surface area of the smaller cylinder to the surface area of the larger cylinder.
Answers
A bakery sells 8 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
A
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
1616 99
3232 2525
B
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
2626 55
2828 77
C
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
4040 55
5656 77
D
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
2424 44
4040 66
please answer the question im sturggling .
Answers
Answer:
A 1
Step-by-step explanation:
8x11=88
1x11=11
Factor the trinomial.
x^2-16x+48
Answers
Answer:
(x - 4)(x - 12)
Step-by-step explanation:
Given
x² - 16x + 48
Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)
The factors are - 4 and - 12, since
- 4 × - 12 = + 48 and - 4 - 12 = - 16 , thus
x² - 16x + 48 = (x - 4)(x - 12)
Answer:
the correct option is (x-4)(x-12)
Step by Step explanation:-
x^2-16x+48
x^2-12x-4x+48
by taking the common factor out,
x(x-12)-4(x-12)
(x-4)(x-12)
Hope it helps you!
-2 x (-7) =
24 divided by (-3) =
Answers
Answer:
1) 14
2) -8
Step-by-step explanation:
-2 × (-7) = 14
24 ÷ (-3) = -8
(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answers
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
Substitute the values of x and y into the expression -3x^2+ 2y^2 + 5xy - 2y + 5x^2 - 3y^2. Match that values to one of the numbers.
1. x = 0.5, y = -1/10
2. x = -1, y = -3
3. x = ¾ , y = ⅖
4. x = 0, y = 2.5
5. x = √2, y = √2
6. x = 2, y = -1
A. -11.25
B. 0.44
C. 14
D. -1
E. 9.17
Answers
Answer:
c
Step-by-step explanation:
try calculator and see which fits