Suppose you have $75 in your savings account and you save an additional $5 each week. Your friend has $30 in his savings account and saves an additional $10
per week. In how many weeks will you have the same amount of money?

Answers

Answer 1

Answer:

9 weeks

Step-by-step explanation:

5x+75=10x+30

-5x        -5x

75=5x+30

-30      -30

45=5x

÷5    ÷5

9=x

x=9

Answer 2

it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.

Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:

Amount of money in your account = $75 + $5x

For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:

Amount of money in your friend's account = $30 + $10x

To find the number of weeks where you both have the same amount of money, we set up the equation:

$75 + $5x = $30 + $10x

Simplifying the equation:

$5x - $10x = $30 - $75

-$5x = -$45

Dividing both sides of the equation by -5 gives us:

x = 9

Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

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Related Questions

A librarian wants to spend no more than $800 on some new desks and chairs for the library. The librarian decides to spend $320 on desks.

If each chair costs $24, what is the maximum number of chairs the librarian can buy for the library and stay within the budget?

Answers

Answer:

I think 20

Step-by-step explanation:

480/24

The maximum number of chairs that the librarian can buy is 20

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Since we are given the amount total budget and the total amount for the desks then the only variable missing is the maximum amount of chairs. This can be solved with the following equation in which :

s represents = the number of chairs,

and we simply solve for s.

800 = 320 + 24s  ... subtract both sides by 300

500 = 24s ... divide both sides by 24

20.83 = s

Now we see that the maximum number of chairs that the librarian can buy is 20 because 21 would make her go over the budget and you cannot have 0.83 of a chair.

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What is the slope of the line shown?

Answers

Answer:

M=(-3)

Step-by-step explanation:

Take two points on the line

(5,1) and (2,2)

the equation to find M is y2-y1/x2-x1

2-5=(-3)  2-1=1

(-3)/1=(-3)

Hope this helps =3

Helpppppp meeeeeeee help mee

Answers

Step-by-step explanation:

29x - 3 + 15x + 7 = 18 because these two angles are supplementary

29x + 15x + 7 - 3 = 18044x = 176 divide both sides by 44x = 4

13y - 17 = 29x - 3 because these two angles are alternate

since we know the value of x

13y - 17 = 29 × 4 - 313y - 17 = 11313y = 113 + 1713y = 130 divide both sides by 13y = 10

Simplify: -2(7m -8n -5p)

............................................

Answers

Answer:

-14m + 16n + 10p ________

What is the simplified form of
72/16
5036
-? Assume x = 0.
6
5x10
6
5x2

Answers

Answer: 72/16=9/2

if x=0 then, 3

cos

2

(

x

)

+

2

cos

(

x

)

1

=

Step-by-step explanation: ok I am sorry that it was not the way you wanted it.

through (-3,3), perp. to y=3x​

Answers

Answer:

Well this point isnt on the line

Step-by-step explanation:

Brady drew a rectangle with an area of 35.52 square centimeters. Staci drew a rectangle with an area of 61.44 square centimeters. How many more square centimeters is Staci's rectangle than Brady's? A. 25.08 square centimeters B. 25.92 square centimeters C. 26.08 square centimeters D. 26.82 square centimeters

Answers

Answer:

B. 25.92 square centimeters.

Step-by-step explanation:

Brady's rectangle has an area of 35.52 cm^2

Staci's rectangle with area of 61.44 cm^2

So, Staci's rectangle is 61.44 -35.52 cm^2 more than Brady's.

Let's simplify it,

It gives 25.92 cm^2

WHY must the same operation be performed on both sides of an equation? ​

Answers

Answer:When you are given a problem, the two sides are equal, so they are equally weighted. As long as you do the same thing on both sides, they remain the same weight. The only way that one side can become "more weight" on a side is if you make a math mistake, and thus the answer would not satisfy the original equation

Step-by-step explanation:looked it up... have a good day!

round 590 divided by 17 to the nearest tenth

Answers

Answer:

420

Step-by-step explanation:

math

Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0.

Answers

Answer:

c. 3/a

Step-by-step explanation:

5ax + 3ax = 4xa+ 12, combine like terms

8ax = 4ax + 12, minus 4ax on both sides

4ax = 12, divide 4a on both sides

youll be left with x = 3/a

Bianca deposits $3000 in a savings account earning 4.25% simple interest per year. How much interest will Bianca earn for a period of 5 years?

Answers

Answer:

$637.50

step by step explanation :

P = $3000

t= 5years

r = 4.25% per annum

Interest = (p×r×t)/100

= (3000×4.25×5)/100

= $637.50

Answer:

uhhhhhhh anywun know ze answer?

Step-by-step explanation:

Determne the domain of the qraph shown. A) 0 8
B) 10, 24
C) 0 20
D 0 10
E) 0 12​

Answers

I think it’s a... I think it’s a carrot

-0.8b = 10.4
What is b and how does it make this equation true......?

Answers

Answer:

-13.375 is the answer

What is 3 to the -3 power simplified

Answers

Answer:

[tex]\frac{1}{3^3}[/tex]

Step-by-step explanation:

Anything to a negative power is pretty much,

(1 divided by (the whole exponet and with bae but the exponent is positive))

so i this case, it is 1/ 3^3

5) Find the LCM of 12 and 32​

Answers

Answer:

the Lowest Common Multiple of 12 and 32 is= 96

25
The graph models the proportional relationship between the amount of money
Tessa earns and the hours she works. Decide if each statement is true or false.
Choose True or False for each statement
20
15
Money Earned (5)
10
True
False
1
2
3
Hours
a. The point (1, 12.5) means Tessa makes $1.00 in
12.5 hours
b. The point (1, 12.5) identifies the constant of
proportionality
c. The point (0,0) means the constant of
proportionality is o.
d. The point (0.5, 6.25) means that Tessa earns
56.25 every half hour.

Answers

Answer:true false true false

Step-by-step explanation:

What is the unit cost per bottle if a pack of 6 bottles of juice sells for $4.80?

Answers

Answer:

4.8/6 = $0.80

Answer:

0.80

JKJKJKJKJKJ

What is the slope of the function?
-6
-4
4
6​

Answers

Answer:

-6

Step-by-step explanation:

TO find the slope pick two points and do y2 - y1 / x2 - x1

I picked the first two:

2 - 8/ -1 - -2 = -6/ 1 = -6

The slope of the given line is - 6 as per slope-intercept form.

What is the slope of a straight line?

The linear equation y = mx + c represents the slope-intercept form of a line passing through the point (x, y).

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

The slope of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:

m = (y₂ - y₁)/(x₂ - x₁)

Therefore, the slope of a line that passes through (-2, 8) and (-1, 2) is

= (2 - 8)/[- 1 - (- 2)]

= - 6/1

= - 6

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15 – 4(x – 3) = 5x + 9
I need the answer with work shown

Answers

Answer:

2

Step-by-step explanation:

15-4(x - 3)=5x+9

15-4x+12=5x+9

collect the like terms

27-9=5x+4x

18=9x

divide both sides by 9

x=2

Answer:

Your answer is: x = 2

Step-by-step explanation:

Hope this helped : )

The graph shows the amount of savings over time in Eliana's account. Lana, meanwhile, puts $40 each week into her savings account. If they both begin with $0, who is saving at the greater rate?

Answers

Lana, because Eliana put 37 in each week based on the graph given.

Answer:

Lana

Step-by-step explanation:

Write the equation of the line that passes through the points (7,-9) and (2,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line

Answers

Answer:

y=-2x+3

Step-by-step explanation:

see the attached above.

I really sorry if you can't read me what I have done.

Best of luck :-)

Help needed plz help me.ASAP

Answers

Answer:

Step-by-step explanation:

well remember that the equation format is y=mx+b

y=2/3-2

Answer:

y=2/3x-2

Step-by-step explanation:

what is the change between -15 and 11

Answers

Answer:

26

Step-by-step explanation:

Take the second number and subtract the first number  and take the absolute value

| 11 - -15|

|11 +15|

|26|

26

Answer:

26 units apart

Step-by-step explanation:

Since we want the total change/distance, subtract and take the absolute value.

-15 - 11 = -26

|-26| = 26

Best of Luck!

i need help with this question

Answers

Answer:

Not at all

Step-by-step explanation:

On the left side, we have 3 people pulling with a force of 50n. That makes the total force 150. On the right side, we have 2 people pulling with 75n force which makes the total force 150n ad well. If the force is the same on each side then the rope cannot move. If they force on one of the sides was greater than the rope would move to that side

-Hope this helps

Answer:

I would say it will move to the ( Right ) because even tho there’s more students on the left there is also more force to the right making the right side have the most force.

Step-by-step explanation: so the answer is it will move to the right because of the higher force.

FR I NEED HELP IM SERIOUSLY GONNAAA CRYYYYY

Answers

Answer:

point a

Step-by-step explanation:

Help please ASAP! THANKS!!!!

Answers

Answer:

(3,1)

Step-by-step explanation:

Deductive reasoning uses all of the following except...
A. Laws
B. Patterns
C. Facts
D. Rules

Answers

B patterns is not applied

36= 2² x 3² how do i get the number to my prime factor

Answers

Answer:

add up the exponents on each prime number

Step-by-step explanation:

2^2= 2x2

3^2=3x3

so 36=2^2x3^2=2x2x3x3

Answer:

3

Step-by-step explanation:

36

| \  

18   2

| \  

9   2

| \  

3   3

4 (x - 1) = }(12x – 3)

Answers

Answer:

x= -1/8

Step-by-step explanation:

try using symbolab

Calculate the slope between the points: (4, -3) and (4,7)
a
m=-1.25
b
m=undefined
C
m=0.5
m=0

Answers

Answer:

B

Step-by-step explanation:

Slope = 10/0 = undefined

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