You have $35 in your bank account and deposit $2.50 each week. At the same time, your cousin has $115 but is withdrawing $7.50 each week. When will the accounts have the same balance? How much will they have?
What are the variables and equations, and how do you solve?

Answers

Answer 1

Answer:

$55

Step-by-step explanation:

Let w = the no. of weeks

35 + 2.50w = amount you will have in the account after w weeks

115 - 7.5w = amount cousin will have in the account after w weeks

You need to set these expressions equal to each other.

35 + 2.50w = 115 - 7.5w     Multiply thru the equation

                                            by 10  to remove the fractions

350 + 25w = 1150 - 75w

100w = 800

w = 8 weeks

35 + 2.50w = 35 + 2.5(8) = 35 + 20 = $55

115 - 7.50w = 115 - 7.50(8) = 115 - 60 = $55


Related Questions

Find the area of the circle. Round your answer to the nearest hundredth.
2 cm

Answers

Answer:

12.57 if 2cm is the radius,

3.14 if 2cm is the diameter

Step-by-step explanation:

If the radius 2cm

A = πr^2 = π·2^2 ≈ 12.56

If the diameter 2cm

A= πr^2 = π·1^2 ≈ 3.14

A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found.

Answers

Answer: increased by 30%

Step-by-step explanation:

40*0.3=12 and 40+12= $52

3*3*3*3= 81 is an example of ___

Exponential form

Standard form

Expanded form

Slope-intercept form

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Answer:

expanded I believe or the first one good luck

It is an example of Exponential form

Help me solve this problem please

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The last two choices.

Supplementary and linear

Which number line shows the solution to the inequality -2(3x - 1) <8?

I need this please!!!!

Answers

Answer:

C

Step-by-step explanation:

I haven't done this math in years but from what I remember this should be the correct answer.

B. is the correct option to choose.

What is inequality ?

An inequality is comparing of non-equal terms or expressions.

According to the given question we have to solve the given inequality and represent it in form of a number line with appropriate symbols.

Given,

-2(3x - 1) < 8.

- 6x + 2 < 8.

- 6x < 8 - 2.

- 6x < 6.

- x < 6/6.

- x < 1.

x > -1.         ( Think of moving the terms to the other side to make x positive )

This will be represented in a number line with open circle staring from -1 to positive infinity.

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If x/5 = 4/15, what is the value of x? Please hurry and answer!!! In a test!!!!​

Answers

Answer:

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

Step-by-step explanation:

(✿◡‿◡) <-- she helped u on your test, the least you can do is give her brainliest

I just want the coordinates, thanks :)

Answers

0,1 and 1,4
youre welcome !!

Answer:

(0,1) and (1,4)

Step-by-step explanation:

Factor 21x^2 - 37x + 12

Answers

answer: (7x-3)(3x-4), rewrite 37x as 9x-28x and factor out 3x from 21x^2-9x. then factor out 7x-3 and you should be good. i hope this helped!

1/2s+3/4s+1/4s+4 equals?

Answers

step1) Combine multiplied terms into a single fraction

step 2)Multiply by 1

step 3)Combine multiplied terms into a single fraction

step4) Combine multiplied terms into a single fraction

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A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discount off the price.Sales tax of 5% was applied after the disscount.What was the final price of the windchime?Show your work.

Answers

Answer:

30 - 5% (1.5) = 28.5

28.5 + 5% (1.43) = 29.93

The chimes cost $29.93

Plz help I’m need help

Answers

I can’t really help you too much with the graphing but what you do with ordered pairs is whatever is the first number (example for point A it’s -2) you go and find it on the horizontal line. Once you find it on the horizontal line you either go up or down the graph by how many units the second number is (4 so you would go up four in the graph) and then you plot the point
here you go, just put dot on it

Expand "6y" in algebra​

Answers

Answer:

6 x y

Step-by-step explanation:

Expanded

Or add y 6 times

y + y + y + y + y + y

Answer:

Step-by-step explanation:

y + y + y + y  + y + y

Hope that helps!

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Answers

Answer:

58

Step-by-step explanation:

9. DOG WALKING Evan, a dog walker, charges $3 every block that he walks a dog. He also charges a $5 pick up fee when he comes to get a dog. How many blocks will he need to walk a dog in order to earn $26? Write an equation and solve the equation.

Answers

Answer:

Evan will have to walk 7 blocks

Step-by-step explanation:

Evan will have to walk 7 blocks because he gets $5 from picking up the dog, so subtract 5 from 26 to get 21. Next, you want to divide 21 by 3 to get 7 because $3 a block and you need to find how many blocks he needs to do.

A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
the mark-up?

Answers

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

Which figure can be formed from the net?

Answers

first option ,, it will be the first option

Answer:

the answer is the bottom right one.

Step-by-step explanation: I took the k12 test

HELP ASAP!!!!! A circle is shown. Secant A D and tangent E D intersect at point D outside of the circle. Secant A D intersects the circle at point B. The length of A B is a, the length of B D is 10, and the length of D E is 12.
Which equation results from applying the secant and tangent segment theorem to the figure?

12(a + 12) = 102
10 + 12 = a2
10(a + 10) = 122
10(12) = a2

Answers

Answer:

C)

10(a + 10) = 12 2

Applying the secant-tangent segment theorem, the equation that will result using the figure given is: C. 10(a + 10) = 12².

What is the Secant-tangent Segment Theorem?

The secant-tangent segment theorem states that if a tangent and a secant intersect at a point outside a circle, then the square of the measure of the products of the secant segment and its external secant segment equals the square of the measure of the tangent segment.

Thus, using the figure given, the equation that results from applying the secant-tangent segment theorem would be: C. 10(a + 10) = 12²

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How do you think statistics may at times not say something? How can a well-designed study be used to carefully say everything that is important about a population? Is it possible to do so?

Answers

Answer:

While statistics are extremely valuable, they are also notorious for being a means that people use to make false and misleading arguments. Also far too often statistics are obtained by taking a sample from a larger group and assuming the whole group has the same characteristics as the sample.

A sample provides a smaller set of the population for review, that delivers data that is useful to represent the whole population. Surveying a smaller sample, as opposed to the entire population, can save precious time for researchers and offer urgent data.

Step-by-step explanation:

Hope it is helpful.....

Solve

b/5 - 37 < -44

Answers

Answer:

Step-by-step explanation

B<-35

HELP ASAP PLS ME AND MY TEACHER ARE ON A 1 ON 1 CALL

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MIGHT BE WRONG BUT I THINK ITS 5.742Step-by-step explanation:

.Peter has 288 coins. 25% of these coins are $1 coins. He wants to increase tt
number of $1 coins to 64%. How many more $1 coins must he collect?​

Answers

He needs to collect 112 more $1 coins.

3. Find any three rational numbers between 1/2 and 3/2​

Answers

Answer:

[tex] \frac{2}{3} \\ \\ \frac{2}{2} \\ \\ \frac{4}{3} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

For example 1/1, 2/3 and 4/3

Step-by-step explanation:

There is a great way to generate rational numbers between other rational numbers using:

[tex]\textrm{If:~~~~~~} \frac{a}{b} < \frac{c}{d}\vspace{7pt}\\\textrm{Then:~} \frac{a}{b} < \frac{a+c}{b+d} < \frac{c}{d}[/tex]

So we know that (1+3)/(2+2) is between 1/2 and 3/2 without checking.

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Lets continue by finding numbers between 1/2 and 1/1; and 1/1 and 3/2

(1+1)/(2+1) = 2/3

(1+3)/(1+2) = 4/3

We could also look for a number between 1/2 and 2/3 and find

(1+2)/(2+3) = 3/5

And so on, so forth :)

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Answers

Answer: the top is 4 and the | is 4 too. The other __ is 8 because 12 - 4 is 8. And the final | is 4 because it’s 8/2

Step-by-step explanation:

please help me, i'll mark you brainiest
20 points

Answers

Answer: 4! 300:75     Hope you have a great day! Good luck on any stressful school homework stuff you have today too!

Step-by-step explanation: A fraction consists of two numbers and a fraction bar:

300/75

The number above the bar is the numerator: 300

The number below the bar is the denominator: 75

Divide the numerator by the denominator to get fraction's value:

300/75 =

300 ÷ 75 =

4:1

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Answers

Answer:

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Step-by-step explanation:

Answer:

74

Step-by-step explanation:

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Answers

Answer:

0.65x = 5.20, 8 pears

Step-by-step explanation:

We put x beside 0.65 because that is the unknown number of pears we can buy with $5.20. To find out how many pears you could buy, we just solve for x. So let's do it!

0.65x = 5.20

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Hope that helps, let me know if you need more help or have questions! :)

Your answer must be simplified


X
- > -2
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Answer: =−19w+27

Step-by-step explanation:Hope this help :D

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r=17/3 alternative form would be r= 5 2/3, r=5.6 those would all be the answers depending on what form you need
They are right ;) ..

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Answer:

7x-2+5x-10+4x=180°

16x-12=180

16x=192

x=192/16

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