Mathematics College

Glenn has $1250 in his savings account. In order to avoid bank fees, glen must keep a minimum of $150 in his account. His cellphone costs him $35 per month. Use inequality to determine how many months Glenn can pay for his cell phone before he would incur fees

Answers

Answer 1

Answer:

31 months.

Step-by-step explanation:

1. Create the inequation.

Let "x" be the time (in months). Hence, the equation should look like this:

$1250-35x\geq 150$.

2. Substract 1250 from both sides of the equation.

$-1250+1250-35x\geq 150-1250\\ \\-35x\geq-1100$

3. Multiply both sides of the inequation by -1 and inverse the comparison symbol.

$(-1)(-35x)\geq(-1100)(-1)\\ \\35x\leq 1100\\$

4. Divide both sides by 35.

$\frac{35x}{35} \leq \frac{1100}{35} \\\\x=\frac{220}{7}= 31.43$

5. Conclude.

The result of the inequation is 31.43. Since we are talking about time (in months), it would be more appropiate to say that Glenn can pay his phone for 31 months, because the balance on his account won't be enough to cover the 32th month without being charges with fees from the bank.

Related Questions

Set of natural numbers is denoted by letter

Answers

Answer: N

Step-by-step explanation: The set of natural numbers is represented by the letter “N”. A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}

If f(x) = 4x² and g(x)=3x, what is (fg)(x)?
(fg)(x)=
(Simplify your answer.)

Answers

The multiplication of the given function is (fg)(x) = 12$x^3$

What is operations of the function ?

Similar to how a function's constituent terms can be added, subtracted, multiplied, and divided, so can functions. These are to be noted as follows:

Addition f( x ) + g ( x ) means to combine two functions, and it may alternatively be expressed as ( f + g ) ( x )

It is possible to write ( f g ) ( x ) to represent the operation of subtracting the g(x) function from the f(x) function.

The two functions are multiplied together when you multiply f (x ) g (x), which can also be represented as (f g ) (x).

Division f (x)/g (x) means to split the two functions in half, and it can alternatively be expressed as (f/g)(x).

Here the given function ,

=> f(x) = 4$x^2$

=> g(x)= 3x

Now (fg)(x) = f(x)*g(x)

=> (fg)(x)= 4$x^2$*3x

=> (fg)(x) = 12$x^3$

Hence the (fg)(x) = 12$x^3$.

To learn more about operations of the function

https://brainly.com/question/28726030

#SPJ13

HELP ASAP!!!

Find the square of 1-4i.

Answers

ANSAWER:

−15+8i

Explanation:

First, you can expand the square of the bynomial:

1/4 squared as a fraction is 1/16.

What are the coordinates of the image of vertex P after a reflection of rx-axis(x, y)?

Answers

Answer: (-7, 4)

1- the x-coordinate of the reflected point is the same as the x-coordinate of the original point

2- the y-coordinate of the reflected point has the same value but opposite sign of the y-coordinate of the original point

Abby owns a square plot of land. She knows that the area of the plot is between 2200 and 2400 square meters. Which of the following is a possible value for the side length of the plot of land.

Answers

The possible value of the side length of the plot of land that Abby owns, which is between 2200 and 2400 square meters is A. 48 meters.

What is the length?

The length is the quantitative measurement of a distance from one point to another position.

Length can also refer to the size of an object that has width or/and height.

Data and Calculations:

The square of 2,200m² = 46.9 meters (√2,200)

The square of 2,400m² = 48.99 meters (√2,400)

The square of the median value of 2,200m² and 2,400m², which is 2,300m² is 48 meters approximateluy.

Thus, the possible value of the side length of the plot of land is A. 48 meters.

Learn more about calculating possible side lengths at https://brainly.com/question/17139119

#SPJ1

Question Completion with Answer Options:

A. 48 meters

B. 46 meters

C. 44 meters

D. 50 meters

expanded form
1.2 x 2 x 2 x 2 =
2.5x5x5
3.1 x 1 x 1 x 1 x 1 =
4.3 x 3
5. 10 x 10 x 10 x 10 x 10

Answers

Answer:

1. 2

2. 5

3. 1

4. 3

5. 10

Step-by-step explanation:

1. Expanded Notation Form:

2 =

Expanded Factors Form:

2 =

2 × 1

Expanded Exponential Form:

2 =

2 × 100

Word Form:

2 =

two

1. 16
2. 125
3. 1
4. 9
5. 100000

An airplane is cruising at a rate of 550 miles per hour. Write an equation that shows the relationship between the number of hours of cruising, x, and the number of miles traveled, y.

Answers

Answer: y = 550x

Step-by-step explanation:

if 60 percent of the days in june were sunny how many days were actually sunny

Answers

Answer:

18 days sunny

Step-by-step explanation:

So theres 30 days in June and you have to find 60 % of 30 since 60 % of them are sunny

60% of 30 = 18

What is the simplest value of 4⁰

Answers

Answer:

Step-by-step explanation:

I have more question then this and no bots

Answers

Answer:

square root of 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

-p•(51+z)=dz+84
Please help.

Answers

Answer:

(-84 - 51p)/(d + p)

Hope it helped

Find the range of the function represented by the list of ordered pairs below.
{(5,-8),(-1, -9),(0, -11), (9,1)}

Answers

What????????????? Im not speake inglês

A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.

Answers

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

- The item costs $350 before tax.

- The sales tax rate is 14%.

- To find the sales tax amount, multiply the cost of the item by the tax rate:

Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

- Add the sales tax amount to the original cost of the item:

Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

- The spinner has 10 equal-sized slices.

- There are 4 yellow slices, 3 red slices, and 3 blue slices.

- Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

- Yellow: Kala got 400 yellow results out of 1000 spins.

- Red: Kala got 300 red results out of 1000 spins.

- Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

For more such questions on spinner, click on:

https://brainly.com/question/32737567

#SPJ8

How many
1/4-foot cubes would fill the inside of the prism?
Write the answer in the box.

Answers

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

Learn more about the cuboid visit:

https://brainly.com/question/26403859

#SPJ1

What term generally describes small chunks of rocks and debris in space? meteorites meteoroids meteors meteorides

Answers

Answer:

When in space it is a meteorite. When it is entering the atmosphere, it is a meteor. When it hits the earth it;s classified as a meteoroid.

Hope this helps.

Step-by-step explanation:

Answer:

Meteorite s

Step-by-step explanation:

took the test

You can do brainiest if you want but you don't have too

TAKE MY LOAF YOU BEAUTIFUL HUMANS!! (っ • ₃ • )っ❤❤

What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

For more such questions on square

https://brainly.com/question/27307830

#SPJ8

URGENT PLEASE ANSWER TO GET BRAINLIEST!

Answers

Answer:

24 cm ( squared )

Answer:

Step-by-step explanation:

To find surface area of a cube you find the area of a side and multiply it by 6

In this example, 2 times 2=4

4 times 6 is 24

Hope this helped

Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot

Answers

The expression that is equivalent to StartRoot $8 x^7 y^8$ EndRoot is ($2 x^3 y^4$ StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot $8 x^7 y^8$ EndRoot:

We can rewrite 8 as $2^3$, and since the square root can be split over multiplication, we have StartRoot $(2^3) x^7 y^8$ EndRoot. Applying the exponent rule for square roots, we get StartRoot $2^3$ EndRoot StartRoot $x^7$ EndRoot StartRoot $y^8$ EndRoot.

Simplifying further, we have 2 StartRoot $2 x^3 y^4$ EndRoot StartRoot $2^2$ EndRoot StartRoot $x^2$ EndRoot StartRoot $y^4$ EndRoot. Finally, we obtain 2 $x^3 y^4$ StartRoot 2 x EndRoot, which is the expression in question.

($2 x y^2$ StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have $2 x y^2$StartRoot $(2^3) x^3$ EndRoot. Applying the exponent rule for square roots, we get $2 x y^2$ StartRoot $2^3$ EndRoot StartRoot $x^3$ EndRoot.

Simplifying further, we have $2 x y^2$ StartRoot 2 x EndRoot. Squaring the entire expression, we obtain ($2 x y^2$ StartRoot 2 x EndRoot)^2.

Therefore, the expression ($2 x^3 y^4$ StartRoot 2 x EndRoot)^2 is equivalent to StartRoot $8 x^7 y^8$ EndRoot.

For more such questions on expression

https://brainly.com/question/1859113

#SPJ8

In your own words, please describe the difference between the regression equation ^y= b0 +b1xt and the regression equation Y=B0+B1x

Answers

In summary, the difference between these two regression equations is mainly in the notation used to represent the regression coefficients, with lowercase letters used in simple linear regression models and uppercase letters used in multiple linear regression models.

What is equation?

In mathematics, an equation is a statement that asserts that two mathematical expressions are equal to each other. It usually contains one or more variables, which are placeholders for values that can vary. Equations are used to describe mathematical relationships and to solve problems. They can take many forms, such as linear equations, quadratic equations, polynomial equations, exponential equations, and so on. The specific form of an equation depends on the type of problem being solved and the mathematical relationships involved.

Here,

Both the regression equations ^y = b0 + b1x and Y = B0 + B1x are used to model the relationship between a dependent variable (y or Y) and an independent variable (x). However, the key difference between these two equations lies in the notation used to represent the regression coefficients.

In the first equation ^y = b0 + b1x, the regression coefficients are represented with lowercase letters (b0 and b1). This notation is typically used in simple linear regression models where there is only one independent variable. The hat symbol (^) over the y indicates that this is an estimated value of y based on the model.

In the second equation Y = B0 + B1x, the regression coefficients are represented with uppercase letters (B0 and B1). This notation is typically used in multiple linear regression models where there are two or more independent variables. The capitalization of the letters helps to distinguish them from the coefficients in the simple linear regression model.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

PLEASE HELP ME!!! THANK YOU

Answers

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

How to find the solution set of the ienquality?

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Need ANSWER ASAP

Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1

a) Graph the five key points of Parent function on the provided grid.

b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=

c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)

Answers

Answer:

See explanation below.

Step-by-step explanation:

Given transformed function:

$y=-2 \sin \left[2(x-45^{\circ})\right]+1$

Part (a)

The parent function of the given function is: y = sin(x)

The five key points for graphing the parent function are:

3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)

(See attachment 1)

Part (b)

Standard form of a sine function:

$\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}$

where:

A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)

Therefore, for the given transformed function:

$y=-2 \sin \left[2(x-45^{\circ})\right]+1$

Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1

Part (c)

See attachment 2.

Need ANSWER ASAPConsider the following transformed functiony = 2 Sin [2( 45)] + 1a) Graph the five key

Can somebody help me pls 3/10 +16/100 = 19/100 ??? Is it correct

Answers

Answer:

yes it is correct 3/10+16/100=19/100

I Need Help please!!

Slope of one of the dotted lines:

Slope of the line of reflection:

Answers

Answer:

see explanation

Step-by-step explanation:

calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

consider the middle dotted line

with

(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line

m = $\frac{8-(-3)}{6-(-5)}$ = $\frac{8+3}{6+5}$ = $\frac{11}{11}$ = 1

consider the line of reflection ( the solid line )

with

(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line

m = $\frac{4-3}{-1-0}$ = $\frac{1}{-1}$ = - 1

Priscilla invested 20,000 at rate of 12% over 5 years. Much to her surprise, her investment paid off, and her account grew by an additional $12,000. What is the principal in this scenario?

Answers

The principal in this scenario is $ 8000.

What is simple & compound interest?

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time.

Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time.

It is Given that:

Priscilla invested 20,000 that means the total amount she invested.

Amount= $ 20,000

Rate of interest=12%

Time= 5 year

Interest= $12,000.

By the formula;

Amount = principal + Interest

Principal = Amount - Interest

Principal= $ 20,000- $12,000

Principal=$ 8000

Hence, the principal in this scenario is $ 8000.

Learn more about simple interest here:

https://brainly.com/question/5319581

#SPJ1

What the probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is .

Answers

The probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is 0.688 .

Given :

the probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is .

From the table :

Total number of selected apartments is,

n = 125

The number of selected apartments located in York,

y = 39

The number of selected apartments located in Lancaster,

l = 47

Probability p = 39 / 125 + 47 / 125

= 39 + 47 / 125

= 86 / 125

= 0.688

Learn more about the probability here:

https://brainly.com/question/11234923

#SPJ4

Full question :

The following contingency table shows the number of two-bedroom apartments grouped by monthly rent and location.

Monthly Rent York Lancaster Dover Total

$600 to under $700 6 15 9 30

$700 to under $800 30 21 24 75

$800 to under $900 15 18 12 45

Total 51 54 45 150

What the probability that a randomly selected apartment from this group has a monthly rental from $800 to under $900 or is located in york is .

A container is in the shape of a right rectangular prism. Hayden wants to put a stick in the container.
What is the length in inches of the longest stick that will fit in the container

Answers

Answer:

13 in.

Step-by-step explanation:

First figure out the length of the diagonal of the base.

3²+4²=c²

9+16=c²

25=c²

√25=c

c=5

Now we can figure out the stick using the same method.

5²=12²=c²

25+144=c²

169=c²

√169=c

c=13

which pair of lines are perpendicular lines?

Answers

Answer:

D.) y = -1/4x - 6 and y = 4x + 11

Step-by-step explanation:

If two lines are perpendicular, that means that their slopes are opposite reciprocals, or that the product is equal to -1. -1/4 times 4 is -1, so they are perpendicular.

Solve for m.

m+15<−123
Responses

m>−11315
m is greater than negative 1 and 13 over 15

m>−1715
m is greater than negative 1 and 7 over 15

m<−1715
m is less than negative 1 and 7 over 15

m<−11315
help

Answers

The solution to the value of m in the inequality m + 1/5 < - 1 2/3 is "m is less than negative 1 and 13 over 15".

The correct answer option is option D

How to solve inequality?

Inequality is a statement that is of two quantities I'm which one is specifically less than (or greater than) another. The symbols of inequality are;

Greater than >Less than <Equal to =Greater than or equal toLess than or equal to

m + 1/5 < - 1 2/3

substract 1/5 from both sides

m < -5/3 - 1/5

m < (-25-3) / 15

m < -28/15

Therefore, from the inequality m + 1/5 < - 1 2/3, m is less than negative 1 and 13 over 15.

Complete question:

m + 1/5 < -1 2/3

Responses

A. m > −1 13/15

m is greater than negative 1 and 13 over 15

B. m > −1 7/15

m is greater than negative 1 and 7 over 15

C. m < −1 7/15

m is less than negative 1 and 7 over 15

D. m < −1 13/15

m is less than negative 1 and 7 over 15

Answers

Answer:

$216\sqrt{3}$ $cm^{2}$

Step-by-step explanation:

Length of edge:

$12$

Length of apothem:

$\frac{\sqrt{3}}{2}*12$

$6\sqrt{3}$

3 × Length of edge × Length of apothem:

$3*12*6\sqrt{3}$

$216\sqrt{3}$

The answer is 96√3 cm²

i) Hence solve cosec 3y ÷ cot 3y + tan 3y = 0.5 for 0
$ \leqslant y \leqslant \pi \: radians \: giving \: your \: your \: am \\ answer \: in \: terms \: of \: \pi$

Answers

The value of y is π/9 or 7π/9 for the range 0 ≤ y ≤ π.

cosec 3y /( cot 3y + tan 3y) = 0.5

Trigonometry formula is:

cosec Ф = 1/ sin Ф

cot Ф = cos Ф/ sinФ

tan Ф = sinФ/ cos Ф

$\frac{\frac{1}{sin 3y} }{\frac{cos 3y}{sin 3y} +\frac{sin 3y}{cos 3y} }$ = 0.5

$\frac{\frac{1}{sin 3y} }{\frac{cos 3y^{2} + sin 3y^{2} }{sin 3y cos 3y} }$ = 0.5

sin² 3y + cos ² 3y = 1

1/ sin 3y × sin 3y cos 3y = 0.5

cos 3y = 0.5 = 1/2

cos π/ 3 = 1/2

For 0≤ y ≤π

0 ≤3y ≤ 3π

So 3y = 2kπ + π/3 , k = 0, 1

y = π/ 9 or 7π/ 9

Therefore the value of y is π/9 and 7π/ 9 for the given range.

To know more about trigonometry refer to the link given below:

https://brainly.com/question/13729598

#SPJ9

Other Questions

True/False? Superbosses look for the best way to use the talent around them by requiring that people fit into established roles? What is the square root of 36?A.4B.6C.8D.10 help im on timer ;-; A gas pipeline has a grade of 1 inch to onefoot. If the line runs from the back wall ofthe shop 20 yards to the tank, what is thedrop? Willow carries 6 notebooks and 2 textbooks in her backpack. Each notebook weighs 110 grams and each textbook weighs 1,000 grams. What is the total weight of the notebooks and textbooks in Willows backpack? I need help with this practice problem solving It asks to answer by in filling in the four boxes you would like to simulate an attack on your network so you can test defense equipment and discover vulnerabilities in order to mitigate risk. which tool would you use to simulate all the packets of an attack? answer etherflood tcpreplay tcpdump wireshark One way you could figure out the theme is to...A: Skim through the storyB: Just read the beginning of the storyC: Think about what the character has learnedD: Read the ending of the story Define the term labour force Congress created about ____________ u. S. District courts, of which ____________ are located within the 50 states. Egyptians did not have a mathematical system for addition, subtraction, multiplication or division.TrueFalse The orange-red band that comes last in the column chromatography is: Group of answer choices Unreacted ferrocene Diacetyl ferrocene Acylium ion Ferrocene-acetic anhydride mixture Acetyl ferrocene which type of topology defines the operational relationship between the various network components? Which combination of cofactors is involved in the conversion of pyruvate to acetyl-CoA?A) Biotin, FAD, and TPP B) TPP, lipoic acid, and NAD C) Biotin, NAD, and FAD D) NAD*, biotin, and TPP E) Pyridoxal phosphate, FAD, and lipoic acid Which of the following best describes the governmental structure of Australia?a) federal stateb) unitary statec) British colonyd) monarchye) indigenous society 1) Are any of the following statements true? Explain your answer.A. Bank capital is an asset in the bank balance sheet.B. The banks assets provide the bank with income.C. A bank issues liabilities to acquire funds. name the chemical compound (Table: The Utility of California Rolls) Use Table: The Utility of California Rolls. Marginal utility begins to diminish with the roll. 2 3 4 5 6 7 Table: The Utility of California Rolls Number of 0 1 California rolls Total utility 0 20 35 45 50 50 45 35 O A. sixth OB fifth O c. second OD 7)The depth of the bottom of the foundations (Df) has influence in the bearing capacity of shallow footings.True or False A square is inscribed in a circle of diameter 12 millimeters. what is the area of the shaded region? a square is inscribed in a circle with a diameter of 12 startroot 2 endroot millimeters. everything outside of the square is shaded. recall that in a 45 " 45 " 90 triangle, if the legs each measure x units, then the hypotenuse measures x units. (72 " 144) mm2 (72 " 72) mm2 (288 " 288) mm2 (288 " 144) mm2