In the 2nd week of the year Carrie had $700 in her savings account. At 5 weeks she had $325. What is the equation that represents this situation?

Answers

Answer 1

Answer:

y = 125x + 75

Step-by-step explanation:

Let x represents the week and

Let y represent the balance

When x = 2, y = 325.

This means

(x1,y1) = (2,325)

When x = 5, y = 700

This means

(x2,y2) = (5,700)

Required

Determine the equation

First, we need to solve for m, the slope

m = ∆y/∆x

i.e.

m = (y2 - y1)/(x2 - x1)

Substitute values for x and y

m = (700 - 325)/(5 - 2)

m = 375/3

m = 125

Next, we calculate the equation in slope intercept form using

y - y1 = m(x - x1)

Substitute values for m, x1 and y1

y - 325 = 125(x - 2)

y - 325 = 125x - 250

Collect like terms

y = 125x - 250 + 325

y = 125x + 75

Hence, the equation is:

y = 125x + 75

Answer 2

Answer: x=-125+950

Step-by-step explanation:

The value went from 700 to 325 in 3 weeks

700-325= 375 /3 =125

0=950

1=825

2=700

3=575

4=450

5=325


Related Questions

Shonda goes to a restaurant with no more than $15 to spend. She buys a burger that costs
$10.50 and one other item. Write an equation to express how much money Shonda spent at the
restaurant.

Answers

Answer:

she has 4.5

and she should´ve got bacon egg and cheese than that burger

Is weekly wage considered to be quantitive data or categorical data?

Answers

Answer:

Quantitative data

Step-by-step explanation:

Data that can be represented in digits are referred to as quantitative data while data that are in categories or grouped are referred to as categorical data.

A breakdown is:

Quantitative-> Digits e.g. 20, 45

Categorical -> Groups and categories e.g. sex, level, etc.

We understand that weekly wage is represented in digits.

e.g.

The weekly wage of A factory worker is $500.......

From the above example, the wage ($500) is expressed in digits.

The analysis above shows that weekly wage is a quantitative data.

If f(x) = 4x2 – 3x + 7, what is f(-2)?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function

Hi , the answer I choose was wrong , what is the correct answer ? Will choose brainlest so be quick

Answers

Answer:

Not congruent

Step-by-step explanation:

Missing angel Q andK

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax+By=C.
m= - 1/4,(-7,0)
The equation of the line in the form Ax+By=C is _________.
​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

Answers

Answer:

The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]

Step-by-step explanation:

We need to write an equation of line that have slope m= -1/4 and point(-7,0)

We would use slope-intercept form: [tex]y=mx+b[/tex]

where m is slope and b is y-intercept.

We are given slope m = -1/4 but we need to find y-intercept

Finding y-intercept

Using the slope m= -1/4 and point(-7,0) we can find y-intercept (b)

[tex]y=mx+b\\0=-\frac{1}{4}(-7)+b\\0= \frac{7}{4}+b\\b=-\frac{7}{4}[/tex]

Now finding the equation of line having slope m= -1/4 and y-intercept b= -7/4

[tex]y=mx+b\\y=-\frac{1}{4}x-\frac{7}{4}[/tex]

Now converting into form Ax+By=C :

[tex]y=-\frac{1}{4}x-\frac{7}{4}\\y=\frac{-x-7}{4}\\4y=-x-7\\x+4y=-7[/tex]

The equation of the line in the form Ax+By=C is [tex]\mathbf{ x+4y=-7}[/tex]

22,389 ÷ 13=??R??
Please add the remainder and answer! I will give brainliest!

Answers

Answer:

1,722 R=3 hope this helps

Please help I will brainliest!! Really urgent!!

and tell you me how you go it, not just the answer please!❤️

Factor 1/9 out 1/9x + 10/9

Answers

Answer:

the answer is 50/5=89⅔

Answer:   [tex]\frac{1}{9}(x + 10)[/tex]

Explanation:

Consider something of the form ab + ac. We can factor 'a' out to get a(b+c), then use the distribution property to get back to ab+ac.

So factoring is basically reversing the distributive property.

In this case, a = 1/9, b = x and c = 10.

So,

[tex]\frac{1}{9}x + \frac{10}{9} = \frac{1}{9}x + \frac{1}{9}*10 = \frac{1}{9}(x+10)[/tex]

Identify the exponential function whose graph is given below

Answers

Answer:

f(x)= -7 * 2^x

Step-by-step explanation:

The graph of the function goes through the point (0,−7) and (1,−14), so if f(x)= ab^x, then

f(0)= ab^0 = a

f(1)= ab^1 =ab

a=-7 and ab =-14 so,

b= -14/-7 = 2

thus the function is f(x)= -7 * 2^x

The exponential function y = -7b² is the required function.

What is an exponential function?

An exponential function is a function which can be defined as y = aˣ,  Where 'x' is  a variable and 'a' is a constant.

From the given diagram,

The graph of the function go through the points (0,-7) and (1,-14),

And graph is exponential,

Let y= abˣ     (1)

y₀ = a and y₁ = ab

At x=0, y₀ = -7 ⇒a=-7

and ab=-14 ⇒ b= 2

Substitute the value of a and b in equation (1) ,

The function,

y = -7b²

The required function is y = -7b².

To know more about Exponential function on:

https://brainly.com/question/11487261

# SPJ2

A person places $308 in an investment account earning an annual rate of 2.1%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 18 years.

Answers

Answer: 449.48

Step-by-step explanation:

The amount of money in the account after 18 years will be $449.5.  

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -

[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]

where -

[A] = final amount

[P] = initial principal balance

[r] = interest rate

[n] = number of times interest applied per time period

[t] = number of time periods elapse

Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.

We have the expression for compounding as -

V = P[tex]$e^{rt}[/tex]

V = 308 x [tex]$e^{(0.021)(18)}[/tex]

V = 308 x [tex]$e^{0.378}[/tex]

V = 449.5

Therefore, the amount of money in the account after 18 years will be $449.5.  

To solve more questions on compound interest, visit the link below -

https://brainly.com/question/14295570

#SPJ2

Halla la suma de 3, ocho veces un número, y tres veces el mismo número

Answers

Answer:

huh?

Step-by-step explanation:

What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?

Answers

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Find f(3) if f(x) = 4x - 10
Multiple choice -
I’ll appreciate it if someone helps

Answers

Answer:

2

Step-by-step explanation:

given f(x) = 4x-10

to find f(3), we simply substitute x = 3 into the function:

f(x) = 4x-10

f(3) = 4(3)-10

= 12-10

= 2

Answer:

2

Step-by-step explanation:

Since f(3), replace all the x's with 3s

f(3) = 4(3) - 10

3/25 divided by 1/8 please help me with this question I am Wrong

Answers

Answer:

.96 or 24/25

Step-by-step explanation:

Hope this helps!

Answer:

24/25

Step-by-step explanation:

3/25 × 8/1

8 × 3/25

3×8/ 25×1

24/25×1

24/25

SOLVE FOR X BRO'SSSS

Answers

Answer:

C) x = -2

Step-by-step explanation:

We just subtract, -19 + 7 = -2

2x + 7y = 28
7x - 2y = 4

Answers

Answer:

Step-by-step explanation:

2x. X = 2. H4. 4=22. 7.(2-x) = x+1 mai. شاليها. • -x=x+1. + (3 - 3 x + 1 +. 6-3x = 4x + 4. Bebetto. 2=7x -. - 4-2=34+12. - ý 2=2y+12. +. 3X= 12-X.


The range of both functions will be ?

A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers

Answers

Answer:

it is b

bbbbbbb!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

what is the value of y when x=2y +4

Answers

Answer:

y = x/2 + 4

Step-by-step explanation:

x = 2y + 4

divide 2 + 4 on both sides in order to isolate y by its self.

x/2 + 4 = 2y + 4/2 + 4

x/2 + 4 = y

y = x/2 + 4

[image above]

i specifically need help with c & e.

Answers

C: 5-2h
E: 5+ 3-4x/6

Answer:

c : 2h-5

e: (4x - 3)/6 +5

Step-by-step explanation:

Why is “3 meals a day” a unit rate?The unchanging value of the ratio between two proportional quantities is

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

'3 meals a day' is a unit rate because there is a 1 in the denominator.

A unit ratio is a fraction between two dissimilar units with a denominator 1.

'3 meals a day' indicate that someone is eating 3 meals in one day.

i.e. unit rate = 3 meals / per day

Therefore, we conclude that '3 meals a day' is a unit rate because there is a 1 in the denominator.

The unchanging value of the ratio between the two proportional quantities is called a constant of proportionality.

For example,

we know that the equation

[tex]y=kx[/tex]

where [tex]k[/tex] is the constant of proportionality and '[tex]y[/tex]' and '[tex]x[/tex]' are two proportional quantities, directly proportional to each other.

Thus, The unchanging value of the ratio between two proportional quantities is called the constant of proportionality.

15
The length of a plane is 19.2 metres.
Lukas buys a scale model of the plane.
The scale of the model is 1:24
Work out the length of the scale model of the plane.
Give
your answer in centimetres.

Answers

Answer:

[tex]Model = 80cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 19.2\ m[/tex]

[tex]Scale=1:24[/tex]

Required

Determine the scale measurement in centimeters

The scale can be represented as: [tex]Model : Actual[/tex]

[tex]Scale = Model : Actual[/tex]

Substitute 19.2 for Actual Length

[tex]Scale = Model : 19.2\ m[/tex]

Represent as a fraction

[tex]Scale = \frac{Model}{19.2m}[/tex] --- (1)

Recall that:

[tex]Scale=1:24[/tex]

Represent as a fraction

[tex]Scale = \frac{1}{24}[/tex] --- (2)

Equate (1) & (2)

[tex]\frac{Model}{19.2m} = \frac{1}{24}[/tex]

Multiply through by 19.2m

[tex]Model = \frac{1}{24} * 19.2m[/tex]

[tex]Model = \frac{ 19.2m}{24}[/tex]

Convert to centimeter

[tex]Model = \frac{ 19.2 * 100cm}{24}[/tex]

[tex]Model = \frac{ 1920cm}{24}[/tex]

[tex]Model = 80cm[/tex]

Hence, the length of the scale model is 80 cm


Even though Tom's employer knows Tom will be working only 3 months, he has to
withhold the same amount that would be withheld if Tom were a full-time employee.
The deduction for federal tax is 16%. How much of Tom's gross pay was taken for this
tax?

Answers

Answer:

0.48

Step-by-step explanation:

I timed the percentage 0.16×3=0.48

Two points on a line are (-7,10)and (9,2). Two points on a line parallel to that line are are (1,3) and (x,4). What is the value of x

Answers

Answer:

x = -1

Step-by-step explanation:

When two lines are parallel, they have the same slope. To find the value of x, we first have to find the slope of the other line. We can do this by inputting the given points (-7, 10) and (9, 2) into the expression [tex]\frac{y2-y1}{x2-x1}[/tex]:

[tex]\frac{10-2}{-7-9}[/tex]

Solve:

10 - 2 = 8

-7 - 9 = -16

8/-16 can be simplified to -1/2.

The slope of the first line is -1/2. Now we can input the points (1, 3) (x, 4) into the expression used to find slope and equal that expression to the value of the first line's slope. We can do this because we know the slopes will be equal to each other.

[tex]\frac{4-3}{x-1}[/tex] = -[tex]\frac{1}{2}[/tex]

First simplify the left side:

4 - 3 = 1

[tex]\frac{1}{x-1}[/tex] =  -[tex]\frac{1}{2}[/tex]

Now, multiply both sides of the equation by x - 1 to isolate the x on the right side of the equation:

1 = [tex]\frac{-x+1}{2}[/tex]

Multiply both sides by 2:

2 = -x + 1

Subtract 1 from both sides:

1 = -x

Divide both sides by -1 to isolate the x:

-1 = x

The value of x is -1.

To check if our answer is correct we can put the value of x back into the expression used to find slope:

[tex]\frac{4-3}{x-1}[/tex]

[tex]\frac{4-3}{-1-1}[/tex]

Solve:

4 - 3 = 1

-1 - 1 = -2

The slope of the second line is -1/2, which is the same as the slope of the first line, which means that our answer is correct.

Hope this helps :)

is 9pi > 27 a true inequality?

Answers

yes it is a true inquation.

HELP PLEASE ITS TIMED AND GRADED I WILL GIVE BRAINLIEST AND 5 STARS

Answers

C=.80n+7 for question a, question d is 6 toppings. I forget how to do an input output graph for b and c, my bad

SOMEONE PLEASE HELP WITH MY MATH ON MY ACCOUNT PAGE

Answers

Answer:

Ok! :)

Step-by-step explanation:

Select all true statements, 25 points

Answers

Answer:  

the first one and the last one

Step-by-step explanation:

What number am I? I am three digits long. My hundreds digit is an odd number. My tens and ones digit are a multiple of 5. All of my digits equal 16.

Answers

Answer:

925

Step-by-step explanation:

I think ;)

Anyone help me with this please:)

Answers

Answer:

130 is the answer

Step-by-step explanation:

hope this helps

Solve the inequality 3(x+1)<18

Answers

If yah have any questions just comment

Answer:

3(x+1)<18

3x+3<18

3x<15

x<5

Step-by-step explanation:

The weekly salaries of elementary school teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. If one elementary school teacher is randomly selected, what is the probability that he/she earns less than $450 a week?

Answers

Answer:

The probability is [tex]P(X < 450 ) = 0.18703[/tex]

Step-by-step explanation:

From the question we are told that

    The mean is  [tex]\mu = \$ 490[/tex]

     The standard deviation is  [tex]\sigma = \$ 45[/tex]

Generally the probability that he/she earns less than $450 a week is mathematically represented as

        [tex]P(X < 450 ) = P(\frac{X - \mu }{\sigma} < \frac{450 - 490}{45} )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

   

          [tex]P(X < 450 ) = P(Z < -0.8889 )[/tex]

From the z table  the area under the normal curve to the left corresponding to    -0.8889  is

         [tex]P(Z < -0.8889 ) = 0.18703[/tex]

=>     [tex]P(X < 450 ) = 0.18703[/tex]

Other Questions
please help!!!only answer if you know Independent Activity 3Rewrite the following sentences into three logically-arranged paragraphs that dealswith smoking and its ill-effects to create a complete persuasive text. Do this on yourEnglish notebook.1. Smoking causes heart disease, lung cancer and other atrocious diseases.2. Please put out that cigarette, take a breath of fresh air, and march into thedirection of a smoke-free life.3. Before you light the end of that ugly, little white stick, stop and think!4. It also can shorten your life span up to 20 years.5. Do you want to be one of those people who smells like an ashtray, hasleathery wrinkly skin and who can't walk up the steps without being out ofbreath?6. If you don't care about the health issues, think about your appearance.7. I don't think so. So listen right now before you start.8. Smokers have yellow teeth, black lungs and horrible smell.9. Why would you want to smoke? It's simple.10. Listen up now because there are ways to stop. Answer ASAP PLEASE!! Would it be possible today for people to live by working only one or two days a week? Why or why not? Guys help me, to get 25 examples of computer software ALOT OF POINTS MARKING PEOPLE AS BRAINLIST 1. Which of the following is a characteristic associated with an organism's niche but not with its habitat? a climate b . soil quality c. place in the food webd.location within the ecosystem Please help!! Please?? A new computer virus attacks a folder consisting of 200 files. Each file gets damaged with probability 0.2 independently of other files. What is the probability that fewer than 50 files will get damaged? g what effects can physical systems have on the planet? Even though you are getting closer to the sun as you ascend into the troposphere, why does the temperature drop?the lower atmosphere is heated by the groundwarm air stays below cold airthe troposphere is a stable layerozone blocks the sunlight Which phrase describes air pressure? How does the spread of an airborne pathogen compare to the spread of foodborne and person-to-person pathogens Cutting "steps" or terraces into the sides of hills is one way toA. increase arable land for farmingB. decrease the risks of floodingC. store water during times of droughtD decrease agricultural yields 88-55+ 5x-7=180Find the value of x Use the numbers 2,4,6,8 to make 60. You can use any operations and use brackets as well. There are 9 girls and 11 boys in a class at a PrivateSchool. Of these students, 3 girls and 4 boys are inthe Running Club. What percentage of the studentsat this Private School are in the Running Club?________%i needdd help plzzzzzzz Why was there no tool that identified the measurement of longitude? Determine whether AB and CD are parallel, perpendicular,or neither.A (12,3), B(-3,9), C (-6,4), D (-2,-6) Do you think the American Dream represents the same thing(s) for all Americans? In other words, do you think all Americans equally value the same thing(s) in our country? Why or why not? will brainlist 13. Here is the motive:What variation technique is used to develop the motive in measures 17 - 20? Please select the word from the list that best fits the definition"It leaves the reader wanting more."A. OrganizationB. Fluency *this isn't the answer*C. Word choiceD. VoiceE. Conventions F. Ideas