you begin with $25 in a savings account and $50 in the checking account. Each week you deposit $5 into savings and $10 into checking. After how many weeks is the amount in checking twice the amount in savings? write and solve an equation.

Answers

Answer 1

Let [tex]s_n[/tex] represent the amount is saving account after n weeks, and

let [tex]c_n[/tex] represent the amount is checking account after n weeks.

so:

[tex]s_0=25\\\\s_1=25+5\\\\s_2=25+5+5\\\\s_3=25+5+5+5\\\\.\\\\.s_n=25+5n[/tex]

and

[tex]c_0=50\\\\c_1=50+10\\\\c_2=50+10+10\\\\c_3=50+10+10+10\\\\.\\\\.c_n=50+10n[/tex]

thus to find

"the amount in checking twice the amount in savings"

we solve the equation:

50+10x=2(25+5x),

50+10x=50+10x

this is true for any x (any number of weeks)

Answer: the amount in checking is twice the amount in savings ALWAYS

Related Questions

Two integers, a and b, have a product of 24. What is the least possible sum of a and b?

Answers

The two integers are 6 and 4 because the factors of 24 are 1,2,3,4,6,8,12,24 and 4 and 6 have the smallest sum out of all of them.
1+24=25
2+12=14
3+8=11
4+6=10

What's a name for 7 over 8

Answers

7/8 is called seven-eights (as a fraction)

hope this helps

As said above, 7/8 or seven-eighths is the name of 7 over 8.

What do I write for my problem. Reply quickly please

Answers

5.41 is the weight of jim's dog

10.82 is the question mark

16.23 divided into 3 sections would be 5.41

2 sections of the 3 would be 5.41+5.41 = 10.82

4 3/2
-
3 1/4
________

Answers

4 3/2-3 1/4
11/2-13/4
(22-13)/4
9/4
2 1/4

3 1
4 --- - 3 ---
2 4

11 13
--- - ---- Common denominator is 4
2 4 Multiply first fraction by 2
(2) (1)

22 13
--- - ---
4 4

9
---
4

1
2 ---
4

A segment measures 10 units. One end of the segment has an endpoint at three, -6. What is another possible in point to this segment

Answers

if one end is -6 and the measure is 10 units long, there are 2 other possible ends. -16 or 6.

assumingn ya mean the oint (3,-6)

add or subtract 10 from x or y to get points 10 away

3-10=-7 so a point is (-7,-6)
3+10=13 so a point is (13,-6)
-6-10=-16 so a point is (3,-16)
-6+10=4 so a point is (3,4)

those are 4 out of inifnite points that we can get that are 10 units from (3,-6)
the points are (x,y) such that they satisfy the following equation:
[tex](x-3)^2+(y+6)^2=10^2[/tex]

what is the solution to log2(9x)-log2^3=3?

Answers

Answer:

[tex]x = \frac{8}{3}[/tex] is the solution to [tex]\log_2 9x - \log_2 3 = 3[/tex]

Step-by-step explanation:

Using the logarithmic rules:

[tex]\log \frac{m}{n} = \log m -\log n[/tex]

if [tex]\log_b x = a[/tex] then;

[tex]x = b^a[/tex]

Given the equation:

[tex]\log_2 9x - \log_2 3 = 3[/tex]

Solve for x:

Apply the logarithmic rules:

[tex]\log_2 \frac{9x}{3} = 3[/tex]

⇒[tex]\log_2 3x = 3[/tex]

Apply the logarithmic rules;

[tex]3x = 2^3[/tex]

⇒[tex]3x = 8[/tex]

Divide both sides by 3 we have;

[tex]x = \frac{8}{3}[/tex]

Therefore, the solution for the given equations is, [tex]x = \frac{8}{3}[/tex]

Answer: B or option two on edg

X = 8/3

Step-by-step explanation:

Which lists these numbers in order from least to greatest?

–14.6, 159, 1.07, –1.295, 24.6

A.
1.07, –14.6, 159, 24.6, –1.295

B.
1.07, –1.295, –14.6, 24.6, 159

C.
–1.295, –14.6, 1.07, 24.6, 159

D.
–14.6, –1.295, 1.07, 24.6, 159

Answers

The answer is D because -14.6 is the least and is the only one that has -14.6 first.

The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.

Given numbers: –14.6, 159, 1.07, –1.295, 24.6.

To order the numbers from least to greatest, we consider their values:

–14.6 (negative and smallest)–1.295 (negative and larger than –14.6)1.07 (positive and the smallest positive number in this list)24.6 (positive and larger than 1.07)159 (positive and largest)

so,Order from least to greatest is:

–14.6–1.2951.0724.6159

The correct answer is option D –14.6, –1.295, 1.07, 24.6, 159.

can -60 be a fraction?

Answers

yes [tex] -\frac{60}{1} [/tex]

Yes, any real number can be made into a fraction!
-60 in this case can be made into a fraction by simply putting it over 1. So -60/1 would be it as a fraction.

what is 11.4 divided by 19

Answers

The answer would be 0.6

the answer should be 0.6

Francine and Cheryl received equal scores on a test made up of multiple choice questions and an essay. Francine got 34 multiple choice questions correct and received 14 points for her essay. Cheryl got 30 multiple choice questions correct and received 22 points for her essay. How many points was each multiple choice question worth? Enter your answer in the box. 5 points

Answers

34x +14 = 30x +22

34x = 30x + 8

4x =8

x = 8/ = 2

each question was worth 2 points

(-4x^2+3xy-y^2)/-(-7x^2-xy+6y^2)/(x^2+4xy-2y^2)

Answers

Alright, so we can start off by dividing
-4x^2+3xy-y^2 by -(-7x^2-xy+6y^2)=7x^2+xy-6y^2 using long division, getting

-4/7
_____________________
7x^2+xy-6y^2 -4x^2+3xy-y^2
- (-4x^2-4xy/7-24y^2/7)
__________________
25xy/7+31y^2/7

Since we can't do anything at this point, we do
-4/7+(25xy/7+31y^2/7)/(7x^2+xy-6y^2)

At this point, we can divide this by
(x^2+4xy-2y^2), resulting in
(-4/7+((25xy/7+31y^2/7)/(7x^2+xy-6y^2)))/((x^2+4xy-2y^2)). After that, we can't use long division since the numerator's top x exponent is 1.

Answer:

7x+x^-16x+

Step-by-step explanation:

Dylan is using the Distributive Property to simplify 6 x (9 + 4). Find his mistake and correct it.

Answers

6(9+4)
54+24
78

78 is your final answer.

workout 3(-a + 2a - 4)= -5

Answers

Let's solve your equation step-by-step.3(−a+2a−4)=−5Step 1: Simplify both sides of the equation.3(−a+2a−4)=−5(3)(−a)+(3)(2a)+(3)(−4)=−5(Distribute)−3a+6a+−12=−5(−3a+6a)+(−12)=−5(Combine Like Terms)3a+−12=−53a−12=−5Step 2: Add 12 to both sides.3a−12+12=−5+123a=7Step 3: Divide both sides by 3.3a/3=7/3a=7/3Answer:a=7/3

3(-a+2a-4)=-5
3(-a)+3(2a)-3(4)=-5
-3a+6a-12=-5
+12 +12
-3a+6a= 3a
3a=7
--- ---
3 3
a=2.3

What is 12-(3-1/2)? I NEED ASAP!! THANK YOU

Answers

I believe the answer is 9.5

9.5 because when you subtract 3-1/2 you get 2 1/2 and then you multiply by 12 and get 36 1/2

What is the mode of the following data set

Answers

Hello There!

Mode: Number that occurs most often in a set of numbers

-The mode would be 3-

The number 3 is the only number that occurs 5 times in the set of data. No other numbers appear more than that so our mode is 3.

An architect is designing a house in which a 104-square-foot room and a 130-square-foot room share a wall. What is the greatest possible integer length of the shared wall?

Answers

I think the answer should be 130 - 104 = 26

the difference of a positive integer and its inverse is 15/4. find the integer

Answers

If the integer is x, and the inverse is 1/x, we have x-1/x=15/4 (since difference is subtraction). Multiplying both sides by x, we get x²-1=15x/4. Next, we can subtract 15x/4=3.75x from both sides to get x²-3.75x-1=0. Using the quadratic formula, we get [tex]x= \frac{3.75+- \sqrt{(-3.75)^2-(4*-1*1)} }{2} = \frac{3.75+- \sqrt{14.0625+4} }{2} = 4, -0.25. [/tex]

Since it has to be a positive integer, we get x=4

Diane and Nancy split a bill of 58.40 plus a 15% tip how much did each person pay

Answers

33.58 dollars each for Diana and Nancy

Work: 58.40 and a 15% tip
58.40×.15= 8.76
58.40+8.76= 67.16
67.16/2= 33.58
Answer:$33.58

After a 5% sale discount, the price of an item became $38.00. What was the original price?

Answers

0.95x = 38
x = 38/.95
x = 40

Hope this helped!

The answer will be 40 !!

Is 500 an underestimate or overestimate for the product of 12 and 53

Answers

Underestimate is the answer

The number 500 is underestimate for the product of 12 and 53.

We need check whether 500 an underestimate or overestimate for the product of 12 and 53.

What is product of numbers?

The product of two numbers is the result you get when you multiply them together.

Now, the product of 12 and 53 is 12 × 53 = 636

An underestimate is an estimate that is less than the actual answer to a problem.

So, the number is underestimated.

Therefore, the number 500 is underestimate for the product of 12 and 53.

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Number c is really difficult

Answers

Multiply each term in the equation by 4/1.
9-2y+2y+4=24

Combine like terms
13=24

Because the result is false, it is no solution.

What is 485 times 34

Answers

the answer is 16,490

16,490 is the answer to your question.

149 x 5 multiply using partial products

Answers

Hi there! Partial products is multiplying each bottom number by the top number. So what did was 9 * 5 = 45. Dropped the five, and carried the 4 to the next number. 5 * 4 + 4 is 24. Drop the 4, and carried the two to the next number. Then I did 5 * 1 + 2 and I got 7. The product of 149 * 5 is 745.

Is 16.6 a whole number, lnteger number, or a rational number

Answers

16.6 is a rational number because a whole number is a number without a decimal. An integer is a set of whole numbers (including zero) and negative numbers. A rational number basically is a number with a decimal or a fraction.

16.6 is a rational number

A rational number is a number that can be expressed as a ratio or a fraction of two integers

Examples of rational numbers are [tex]\frac{3}{7}[/tex], [tex]\frac{1}{2}[/tex]

16.6 can be expressed as [tex]16\frac{6}{10}[/tex] 0r [tex]16\frac{3}{5}[/tex]

An integer is a number without fractions or decimals

For example, integers are 2, 3, 0 - 1000

A whole number is a number that is a positive integer. It does not include negative numbers, fractions or decimals.

Examples are 1, 2, 10

To learn more about rational numbers, please check: https://brainly.com/question/15815501?referrer=searchResults

Help!! what is -2r-1= -11

Answers

-2r - 1 = -11

So here you want to group all like terms onto either side.

So you can first do this by getting rid of the -1 by adding 1 instead.

-2r -1 + 1 = -11 + 1

-2r = -10

And then now you can just divide both sides by -2.

-2r = -10

/-2 /-2

r = 5

-2r-1= -11
+1 +1
-2r= -10
r=5

Sasha hikes into a canyon. She takes a break at the rest stations every 2/3 of a mile. If she started at sea level and has hiked down to the fourth rest station, what is Sasha’s elevation now? Select all that apply.

a. -8/3
b. -4 2/3
c. 14/3
d. 2 2/3
e 4/3

Answers

Answer:

a. -8/3 miles below sea level.

Step-by-step explanation:

Sasha started at sea level and has hiked down to the fourth rest station.

Now sea level is 0.

Sasha takes a break at the rest stations every 2/3 of a mile.

This means she is down to 4 rest points means 4 times 2/3

This becomes = [tex]4\times(\frac{2}{3} )=\frac{8}{3}[/tex]

But the answer will be in negative as she is below 0.

So, correct answer is: a. -8/3 miles below sea level.

Shasha's elevation at the fourth rest station is 2 2/3

Position of rest station = 2/3 of a mile

Sea level = 0

The 4th rest station will be located at :

4 × 2/3 = 8/3

Therefore, the position of the fourth rest station from Shasha's starting position is (0 + 8/3) = 8/3

Since, she's hiking upward her position will be 8/3 = 2 2/3

Therefore, Shasha's elevation is

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

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Which is a correct classification for the triangle?

Answers

Well we know the missing angle is 1oo degrees because 53+27 gives you 80 so you subtract the from 180 and get 100 so taking that into consideration and the shape of the triangle its self you can determine that this is an....obtuse angle !

Steve washed 15 cars in 3 hours.how many cars can he Wash in 7 hours?

Answers

15/3 = x/7.

Use cross products and multiply 15*7= 105/3= 35.
He can wash 35 cars in 7 hours..
Hope this helps!
Can u plz mark me as brainliest? I really need it!

Steve washed 15 cars in 3 hours and can wash 35 cars in 7 hours.

We have given that Steve washed 15 cars in 3 hours.

We have to determine if the cars can be Washed in 7 hours.

What is the condition given?

15/3 = x/7.

Use cross products and multiply 15*7

= 105/3

= 35.

He can wash 35 cars in 7 hours

To learn more about hours visit:

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how much more is 3/8 gallon than 1/4 gallon?

Answers

1/8 more

1/4 = 2/8

3/8-2/8 =1/8

Which statements include two quantities in the real world that are additive inverses?

Select each correct answer.

Juana drove 25 miles east and then drove 25 miles west.

An elevator goes up 10 stories and then goes down 10 stories.

A chlorine ion has 17 positively charged protons and 18 negatively charged electrons.

Daniela opens a bank account and then deposits $200.

Answers

It would be the answer with Juana. Additive integers are adding a postive and negative number to add to zero ex) -5+5=0. So in this situation you can think of west and east as positive and negative.

A & B for sure! Hope this helps!!

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