Back in ye olden days, cell phone companies charged for texting. A cell phone company charges 10 cents per text message if a customer sends up to 100 messages per month, 8 cents for 101-200 messages, and 6 cents for 201-300 messages. If today is the last day of the month, and you've sent 200 texts, is it worth it to send 1 more text message?

Answers

Answer 1

Answer: It is worth it.

Step-by-step explanation:

If a customer sends 101 - 200 texts in a month, they get charged 8 cents per text.

If they send 201 - 300, they get charged 6 cents per month.

If you have sent 200 texts, your charge for the month will therefore be:

= 200 * 8

= $16.00

If you send the 201th text, you will be charged 6 cents per text. Total charge would be:

= 201 * 6

= $12.06

If you send 1 more text, it will be worth it because you will save:

= 16 - 12.06

= $3.94


Related Questions

What is the measurement of Angle JKL? *
What is MLJKL? Enter your answer in the box
(2x + 5)
(3x - 6)
M
L

Answers

Answer:

Option (1)

Step-by-step explanation:

From the triangles given in the picture,

Since, JK ≅ KL [Given]

JM ≅ ML [Given]

KM ≅ KM [Reflexive property of congruence]

ΔJMK ≅ ΔLMK [SSS property of congruence]

Therefore, ∠JKM ≅ ∠LKM [CPCTC]

(2x + 5) = (3x - 6)

3x - 2x = 5 + 6

x = 11

m∠JKL = m∠JKM + m∠LKM

            = (2x + 5) + (3x - 6)

            = 5x - 1

            = 5(11) - 1

             = 54

Option (1) will be the answer.

why wont it let me say anything

Answers

Answer:

409

Step-by-step explanation:

786 + 32 = 818

818 ÷ 2 = 409

What type of function is y=2^x +8

Answers

Answer:

y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

Step-by-step explanation:

We know that the general exponential function is of the form

f(x) = aˣ

were a > 0

Given the function

y = 2ˣ + 8

Comparing with y =  aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.

where a = 2

We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.

i.e.

y = 2ˣ + 8

y = 2⁰ +8        ∵ 2⁰= 1

y = 1+8

y = 9

Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.

Therefore, y = 2ˣ + 8 represents the exponential function.

The graph of the function y = 2ˣ + 8 is also attached below.

What’s -9/6 divided by -1/8

Answers

Answer:

-9/6 divided by -1/8 equals 12

Step-by-step explanation:

. A negative divided by a negative is a positive so... 9/6 divided by 1/8

. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8

. Reduce the fraction with 3 so... 3/2 times 8

. Reduce the numbers with the greatest common factor 2 so... 3 times 4

. Multiply the numbers so... 3 times 4 equals 12

what is 15^4/15 simplified?

Answers

Answer:

15^3

Step-by-step explanation:

Since 15^4 means 15 x 15 x 15 x 15, therefore, just subtract the power 4 from one because you are dividing it by 15:

15^4 / 15 = 15^3

How many Terminating Zeros are at the end of 631! when this number is multiplied out

Answers

Answer:

3 zeros

Step-by-step explanation:

When The factorial is the product of all integers that are less than or equal to n but that is greater than or equal to 1. so that The factorial value of 0 is by definition equal to 1. so that suppose that For negative integers, factorials are not defined. so we can do The factorial and can be seen as the result of multiplying a sequence of descending natural numbers (such as 3 × 2 × 1).

          Thus The factorial symbol is the exclamation mark !. like this

Using The factorial formula is  

        If n is a natural number greater than or equal to 1, then

             n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1

When If n = 0, then n! = 1, by convention it. Thus, The factorial of 631 is calculated, through its definition, can we this way: 631! = 631 • 630 • 629 • 628 ... 3 • 2 • 1

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Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?

Answers

Answer:

she was left with 28$ I'm in high school i think I'm right

Step-by-step explanation:

Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23

Determine whether each statement about the equations is true or false

Answers

Answer:

1. False

2. True

3. True

4. False

Step-by-step explanation:

a + 9 = 23

a = 14

3b + 9 = 23

3b = 14

b = 14/3

6c + 9 = 23

6c = 14

c = 14/6 = 7/3

Statement 1: 3a = 14 x 3 = 42, which is not equal to b.

Statement 2: 7/3 is less than 14.

Statement 3: 2c = 7/3 x 2 = 14/3 = b.

Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.

What is the length of segment AB?

A) 2
B)2.5
C) 5
D) 10

Answers

Answer:

10..................

Solve for Y .

-6y + 4x = 8

Answers

Answer:

y= -4/3 + 2x/3

Step-by-step explanation:

Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these

Answers

Answer:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

General Formulas and Concepts:

Calculus

Discontinuities

Removable (Hole) Jump Infinite (Asymptote)

Integration

IntegralsDefinite IntegralsIntegration Constant CImproper Integrals

Step-by-step explanation:

Let's define our answer choices:

A)  [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]

B)  [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]

C)  [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]

D) None of these

We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.

Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.

∴ our answer is A.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit:  Integration

Book: College Calculus 10e

Solve for r.
r/-4 = 250

Answers

Answer: r= -1000

Step-by-step explanation:

Solve for r by simplifying both sides of the equation, then isolating the variable

Answer:

-1000

Step-by-step explanation:

-4 x 250 = -1000

-1000/-4= 250

PLZ MARK BRAINLIEST

have a great day! :)

which set of vaules could be the side lengths of a 30-60-90 triangle

Answers

Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.

Step-by-step explanation:

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

We have,

In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.

The side lengths of a 30-60-90 triangle have a specific ratio.

Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.

The ratios of the side lengths in a 30-60-90 triangle are as follows:

Shortest side: x

Side opposite 60-degree angle: y = x√3

Hypotenuse: z = 2x

Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.

The values must satisfy the above relationships.

Possible sets of values for the side lengths of a 30-60-90 triangle are:

Set 1:

x = 1

y = x√3 = √3

z = 2x = 2

Set 2:

x = 2

y = x√3 = 2√3

z = 2x = 4

Set 3:

x = 3

y = x√3 = 3√3

z = 2x = 6

Set 4:

x = k (where k is any positive constant)

y = x√3 = k√3

z = 2x = 2k

These sets of values satisfy the ratios for a 30-60-90 triangle.

Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.

So,

Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.

Thus,

The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.

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Simplify
(6x^2y^-4)^-3

Answers

Answer:

y^12/216x^6

Step-by-step explanation:

First Im distrubiting the powers.

((6^-3)[(x^2)^-3][(y^-4)^-3])

(216^-1)(x^-6)(y^12)

Move the negative exponents

y^12/216x^6

HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14

Answers

Answer:

[tex](-3.1, -32.5)[/tex]

Step-by-step explanation:

Set the equations equal to each other: 25x+45=15x+14

Solve for x: 10x = -31

Solve for x: x=-3.1

Plug the x value back into one of the equations to find the value of y:

y = 15 (-3.1) +14

y = -32.5

Answer:

7,68

Step-by-step explanation:

y=2x+54

y=15x+14

you can do elimination so you need to multiply the x's by -15 and 2

y=-30x+54

y=30x+15

the x's are canceled out and you add the remaining

y=54. y=68

y=15

To find x you makes an equation of one of the equations given

68=2x+54

14=2x

7=x

The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.​

Answers

The answer would be 14 because you multiple

A rectangular picture frame has side lengths of 12 in by 9.5 in what is the length of the diagonal of the picture

Answers

Answer:

Length of diagonal of picture = 15.30 inches

Step-by-step explanation:

Given that:

Side lengths of picture frame = 12 inches by 9.5 inches

As the picture is rectangular, the diagonal will form hypotenuse of right angled triangle.

Using Pythagorean theorem;

a²+b²=c²

Putting the values in the theorem

[tex](12)^2 + (9.5)^2 = c^2 \\144+90.25=c^2\\c^2 = 234.25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{234.25}\\c=15.30[/tex]

Hence,

Length of diagonal of picture = 15.30 inches

Which of the following triangles is NOT a right triangle?

Answers

Answer:

The first one

Step-by-step explanation:

The third triangle is not a right triangle.

What is a right triangle?

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.

Given are triangles,

When we apply Pythagoras theorem in the third triangle,

9² ≠ 8²+6²

Hence, The third triangle is not a right triangle.

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f) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?
g) The multiplicative inys​

Answers

Answer:

First number = 60 and another number = 48

Step-by-step explanation:

Let two numbers are 5x and 4x.

The two number are differ by 12. We need to find the numbers.

ATQ,

5x-4x = 12

x = 12

Now first number = 5x

= 5(12)

= 60

Other number = 4x

= 4(12)

= 48

Hence, the numbers are 60 and 48.

what is 350/100 as a fraction and decimal?

Answers

Answer: 350/100 as a decimal equals 3.5

Step-by-step explanation:

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2​

Answers

Answer:

y = (2/5)x + 2

Step-by-step explanation:

The given equation y = (2/5)x - 2​ is already in slope-intercept form.  The equation of the new line has precisely that form, except that the constant is different.  To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:

4 = (2/5)(5) + C, or

4 = 2 + C.  Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.

PLEASEEEEEEEEE HELP


Translate the phrase into an algebraic expression.
The product of b and 9

Answers

Answer:

b(9) also known as: b multiplied by 9

I am not 100% sure but I do agree with the first person's answer so feel free to give them brainliest. Hope I helped though! Have a wonderful day! :)

The algebraic expression for the given phrase is 9b.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given phrase is "The product of b and 9".

Now, the expression is b×9

= 9b

Therefore, the algebraic expression is 9b.

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What is the image point of (-4, 8) after a translation right 3 units and down 3 units?

Answers

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Sherry buys a pair of boots from Rack Room Shoes for $45.00. What is the total amount paid if
the sales tax is 7%?
b. $38.70
a. $52.00
c. $48.15
d. $47.00

Answers

Answer:

Before Tax Price: $45.00

Sale Tax: 7.00% or $3.15

After Tax Price: $48.15

here u go love

Step-by-step explanation:

Answer:

C.)$48.15

Step-by-step explanation:

What is the measure of

Answers

Answer:

The measure of Angle B = 82

Step-by-step explanation:

⁕We have to calculate the angle for A.

‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.

⁕You are going to subtract 143 from 180.

[tex]180 - 143 = 37[/tex]

‣So the angle of A is 37. A triangle equals 180 degrees.

⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.

[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]

‣Therefore, angle B equals 82.

Simplify the expression and combine lime terms
. 2(x + 6) + 3x + 4​

Answers

Answer:

5x+16

Step-by-step explanation:

2(x + 6) + 3x + 4​

Distribute

2x+ 2*6 + 3x+4

2x+12 + 3x+4

Combine like terms

2x+3x     +12 +4

5x+16

Answer:

5x+16

Step-by-step explanation:

WILL MARK YOU BRAINLIEST HELP WITH BOTH IF YOU CAN

Answers

Answer:

10) 51°

11) 152

Step-by-step explanation:

10) 42 + 9 = 51

11) 45(3.5) + 22(-.25) = 157.5 - 5.5 = 152

Answer:

1. it dropped by 51°F

im not too sure abt number 2

Expressed answers As reduced fraction. Find the trig value.
Tan A=

Answers

Answer:

The value of tan A: 40/9

i.e.

tan A = 40/9

Step-by-step explanation:

Given

Hypotenuse = 41

To determine

m ∠ A = ?

Using the trigonometric ratio

tan A = opposite / adjacent

Here:

Opposite of m ∠ A = 40Adjacent of m ∠ A = 9

Thus, substituting opposite = 40 and adjacent = 0 in the equation

tan A = opposite / adjacent

tan A = 40/9

Therefore, the value of tan A: 40/9

i.e.

tan A = 40/9

A cylinder has a radius of 5 cm, and a height of 10 cm. What is the
volume? Use 3.14 as it.

Answers

Answer:

785 cm³

Step-by-step explanation:

3.14x5x5x10=785

sasssssssssssssssssssssssssssssssssssss

Dividing by the wrong number when finding the mean is a:
interpretation error.
data collection error.
measurement error.
sampling error.

Answers

Answer:

measurement error

Step-by-step explanation:

hope this helps

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