Your bank account starts with $1550 and every month $50 is automatically deducted for the cable bill. You want to know how long, x, it would take your account to drop below $0. How many months would it take for your account to drop BELOW $0?

Answers

Answer 1

Step-by-step explanation:

C(x) = 1550 - 50x

With C(x) the cash you have every month (x).

Now we solve:

1550 - 50x < 0

So it becomes:

50x > 1550

x > 31

The 32nd month you'll be broke.


Related Questions

Given that k=cd2 + e find the value of c when k=3 ,d=2 and e = 5

Answers

Answer:

  c = -1/2

Step-by-step explanation:

Put the known values in the equation and solve for the unknown.

  k = cd² +e

  3 = c(2²) +5

  -2 = 4c . . . . . . . subtract 5

  -1/2 = c . . . . . . divide by 4

A store sells hardcover books for $8 and paperback books for $5. You buy 7 books, represented by the equation x + y = 7, where x is the number of hardcover books and y is the number of paperback books. The equation 8x + 5y = 41 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

No. of hardcover book = x

No. of paperback book = y

Cost of one hardcover book = $8

Cost of one paperback book = $5 We are given that:

x+y=7 (Equation 1)

8x+5y=41 (Equation 2)

We can find out value of x and y by solving both equations simultaneously.

Hence, Total number of Hardcover books is TWO while the number of Paperback books is FIVE

Step-by-step explanation:

Simplify
4^33 8^37
—————-
4^15 8^21

A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16

Answers

Answer:

A

Step-by-step explanation:


Find the distance between (-4,-8) and (-4,0).


Answers

Answer:

[tex]\huge\boxed{\sf |AB| = 8\ units}[/tex]

Step-by-step explanation:

Given the two co-ordinates:

A(x1,y1) = (-4,-8)

B(x2,y2) = (-4,0)

Putting them in the distance formula:

[tex]|AB| = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB| = \sqrt{(-4-(-4))^2+(0-(-8))^2} \\\\|AB| = \sqrt{(-4+4)^2+(0+8)^2} \\\\|AB| = \sqrt{8^2} \\\\|AB| = 8\ units\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

9+3x=18-6x find for x

Answers

Answer:

Hiya There!!!

_________________________

Isolate the variable by dividing each side by factors that don't contain the variable.

x =  1

_________________________

“The harder you fall, the heavier your heart; the heavier your heart, the stronger you climb; the stronger you climb, the higher your pedestal.”

― Criss Jami, Killosophy

_________________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

What is the equation please

Answers

Answer:

y = -2/5x - 2

Step-by-step explanation:

Answer:

y = 2/5x -2 or y = 0.4x -2

Explanation:

Step 1: Calculating Slope (m).

m =   [tex]\frac{y2-y1}{x2-x1}[/tex]

m =    [tex]\frac{0-(-2)}{5-0}[/tex]

m =  [tex]\frac{2}{5}[/tex]  

m = 0.4

Now putting value of m in equation (i)

y = 0.4x + b -----(ii)

Step 2: Calculating Y-intercept (b).

Lets choose the first point, (0,-2) for calculating y-intercept:

y = mx + b

-2 = 0.4(0) + b

-2 = 0 + b

-2 = b

b = -2

Now put the value of b in equation (ii)

y = 0.4x + -2

Use the distance formula to answer the question:
What is the distance between (5,9), (1, 6)?

Answers

Step-by-step explanation:

The formula is Distance=√(x2-x1)²+(y2 -y1)²

x1 is 5, x2 is 1, y1 is 9, y2 is 6

D = √( 1-5)² +(6-9)²

D = √(-4)²+(-3)²

D = √16+9

D = √25

D = 5 units

You use a juice mix to make orange juice.
You combine 12 ounces of the mix with 36 ounces of water.

What is a unit rate that describes your juice?


Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?


Answers

Answer:

1. Ounces

2. 62 miles per hour

Step-by-step explanation:

1. 12 OUNCES and 36 OUNCES

2. 496/8 = 62 (check 62x8 = 496)

A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?

Answers

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: https://brainly.com/question/3004254

Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Can someone help me, please? :(((

Answers

[tex]\huge \sf༆ Answer ༄[/tex]

According to given figure ~

Area of whole is equal to :

Area of Triangle + Area of rectangle

And,

Area of Triangle :

[tex] \sf \dfrac{1}{2} ( 7 \times 6)[/tex]

Area of Rectangle :

[tex] \sf7 \times 3[/tex]

Therefore, the Area of whole figure is ~

[tex] \boxed{ \sf (7 \: • \: 3) + \frac{1}{2}(7 \: • \: 6)}[/tex]

So, the Correct choice is ~ A

SOS l don’t understand please help me

Answers

Answer:

that's the answer hope it helps to you

how to calculate fractions without a calculator

Answers

Answer:

Step-by-step explanation:

all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction

HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!! ​

Answers

Answer:

x > -4

Step-by-step explanation:

- 16x < 64

Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)

x > -4

(When dividing or multiplying by a negative the inequality sign flips!)

Hope this helps and have a good day!

What are the answers to these?

Answers

A) -3

B) 5

C) -2

D)-6

i have to write 20 characters so sisiasskklsa

Answer:

a) -3

b)5

c)-2

d)-6

Step-by-step explanation:

4 - 7 =-3

4 is positive and 7 is negative

a positive minus a negative is equal to a negative

3 is negative and 8 is positive, but 8 is bigger than 3, so take the sign of the bigger number which is 8.

c) is the same as question b

same signs rule

a negative + a negative is = to negative

positive and a positive is = to a positive

a negative +/_ a positive = a negative

A money market account dropped to 5/8 its original value of $7.200. What is its current value?

A. 180
B. 450
C. 1,152
D. 4,500
E. 11,520

Answers

Answer:

Which claim most accurately describes the energy transformation taking place while he practices his guitar?

Sound energy is converted into elastic energy.

Kinetic energy is converted into thermal energy.

Mechanical energy is converted into sound energy.

Electrical energy is converted into mechanical energy.

Step-by-step explanation:

Answer:

C. 4,500

Step-by-step explanation:

Since we have 5/8 of the original 7200, we can multiply and divide.7200*5=3600036000÷8=4500Therefore, the answer is c, 4,500

The graph of a line passes through the points (0, 8) and (4, 0). What is the equation of the line?

Answers

Answer: y = -2x + 8

Step-by-step explanation:

gradient = change in y/ change in x = 8/-4 = -2

y = -2x + c

substitute values in

8 = 0 + c

c = 8

y = -2x + 8

The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

How to find the equation of a line

The line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b

m is the slopeb is the y-intercept

Find the slope

Slope = -8/4
Slope = -2

Determine the y-intercept

Since the y-intercept is the point where the line cross the y-axis, hence b = 8.

FInd the required equation

y = -2x + 8

Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8

Learn more on equation of a line here: https://brainly.com/question/18831322

WILL GIVE THANK,BRAINLY,AND 5 STARS

The long sides of a rectangle measure 5 ft 6 in, and the short sides are 3 ft 4 in. What is the perimeter?

Answers

Answer:

I believe the answer is 17 ft and 8 inches

Step-by-step explanation:

correct me If im wrong

Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.

Answers

Cars be CVehicles be V

Cars are vehicles means cars=Vehicles

So

[tex]\\ \sf\longmapsto C=V[/tex]

Converse statement:-

Vehicles are cars

[tex]\\ \sf\longmapsto V=C[/tex]

The area of a circular field is 16π square miles. What is the diameter of the field in miles.

Answers

Answer:

8

Step-by-step explanation:

1. Divide the area (in square units) by Pi (approximately 3.14159).

2. Take the square root of the result. This is the radius.

3. Now double the radius to get the diameter

Answer:

8 miles

Step-by-step explanation:

When given area, we use the formula of 2√(area/pi). It may look slightly complex, but in this equation, we are fortunate that pi is in our area. This essentially cancels out the pi in the equation, simplifying it to √(16), which is simply 8!

Hope this helps you!

Which of the following proves these
triangles are congruent?
B
ASA
SAA
neither
Help plz

Answers

Answer: I’m pretty sure it’s SAA

Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.

The statement that proves that the triangles are congruent is SAA

From the figure, we have the following highlights

A corresponding side (S) on both triangles is equalTwo corresponding angles (AA) beside one another are also equal

This means that, the congruent statement is SAA i.e. Side-Angle-Angle

Hence, the statement that proves that the triangles are congruent is SAA

Read more about congruent triangles at:

https://brainly.com/question/1675117

If a = 5i and b
-2 + i, then find the value of ab in fully simplified form

Answers

42. 51 $\♤ ●gd rgbdyfurudgdhsuxu

Sally can paint a room in 7 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?

Answers

Answer:

2 hours

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Let x represent the time it takes together. Per hour the Equalizer

1/3hr + 1/8hr = 1/x  Multiplying each term by 24x so as all denominators = 1

8x + 3x = 24

11x = 24

x = 2.18 hrs, the time it takes them together

can somebody help me with this please​

Answers

Answer:

  2 bottles

Step-by-step explanation:

The 15 trees will need ...

  (15 trees)×(10.5 fl oz/tree) = 157.5 fl oz

This is about ...

  (157.5 fl oz)/(33.814 fl oz/L) ≈ 4.66 L

This is just slightly more than the quantity available in 1 bottle. It amounts to ...

  4.66 L/(4.1 L/bottle) ≈ 1.14 bottles

We assume that only whole bottles can be purchased, and that we do not have an inventory of fertilizer on hand.

2 bottles are needed to fertilize 15 trees

The radius of a circle is 6 inches. What is the length of a 135-degree arc?

Answers

14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

Another viable method is to do 2pi*6*135/360=14.14

All 150 eighth grade students at a local middle school were asked how many hours they studied during the week. Each row of the table represents one sample from the population. Find the mean Of each sample


Which row has the greatest mean?
1
2
3
4

Answers

The answer is 2...

It's row 2

Answer:

Row 2 (B)

Step-by-step explanation:

We can find out the answer just simply by adding up each of the rows seperately and finding out which one has the highest value, since all of the rows have the same amount of spaces that you need to divide by. Row 2 has the highest value with 23.

Four runners formed a relay team at
Jan’s high school. The team completed
the relay in 3.86 minutes. Each runner
ran exactly the same time. What was
each runner’s time?

Answers

0.965
3.86/4 = 0.965

One number exceed another by 11, the sum of the two numbers is 5. What are the numbers?​

Answers

Answer:

The first number is -3, the second number is 8

Step-by-step explanation

Let x = the first number

exceeded means add, so the second number is x+11

sum means add, so the equation is x+x+11=5

combine like terms to get 2x+11=5

subtract 11 on both sides, 2x=-6

divide by 2 on both sides, x= -3

second number was x+11, so -3+11 = 8

I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY. Find the value of X

Answers

Answer:

x = 12.81

Step-by-step explanation:

Which graph represents the solution set of the system of inequalities?

{y<2x+2x+y≥−3

Answers

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

If x is directly propotional to y
Given that x=8 and y=2
find x=4.

Answers

Just do 8/4 = 2/y, should be correct.

Answer:

1

Step-by-step explanation:

Using similarity

8/4 = 2/y

2 = 2/y

2y = 2

y = 2/2

y = 1

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