Jim currently has​ $1,250 in his bank account and Sally has​ $1,400 in her bank account. Jim deposits​ $27.50 per week and Sally deposits​ $20 per week into her account. After how many weeks will they have the same amount of​ money? Jim and Sally will have the same amount of money after nothing ​week(s). ​(Type an integer or a​ decimal.)

Answers

Answer 1

Answer:

20 weeks.

Step-by-step explanation:

The equations of money deposits of each bankholder as a function of time are, respectively:

Jim

[tex]p_{1} = 1250 + 27.50\cdot t\\[/tex]

Sally

[tex]p_{2} = 1400 +20\cdot t[/tex]

The number of weeks so that both have the same amount of money is:

[tex]1250 + 27.50\cdot t = 1400 + 20\cdot t[/tex]

[tex]7.50\cdot t = 150[/tex]

[tex]t = 20[/tex]


Related Questions

solve for n
-7+2/3n = 13

Answers

Answer:

[tex]- 7 + \frac{2}{3}n = 13 : n = 30[/tex]

Step-by-step explanation:

[tex]-7+\frac{2}{3}n=13[/tex]

Add [tex]7[/tex] to both sides:

[tex]-7+\frac{2}{3}n+7=13+7[/tex]

Simplify:

[tex]\frac{2}{3}n=20[/tex]

Multiply both sides by [tex]3[/tex]:

[tex]3 * \frac{2}{3}n=20 * 3[/tex]

Simplify:

[tex]2n=60[/tex]

Divide both sides by [tex]2[/tex]:

[tex]\frac{2n}{2}=\frac{60}{2}[/tex]

Simplify:

[tex]n = 30[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you. Have a good day! =)

{(9c^6)(3c^6)}=(9c
6
)(3c
6
)

Answers

Answer: 33c12

Step-by-step explanation:

Answer: 27c^12

(9c^6)(3c^6) = 27c^12

Step-by-step explanation:

which expression has the fewest number of significant figures

A 296.54
B 5003.1
C 18.3
D 360.01

Answers

Answer:

18.3

18.3 only has three significant figures while the other numbers have more

C. 18.3
It only has 4 significant figured

Seller Andy require a 2.5% deposit on all offers. Buyer josh wants to offer $452,000 for the property. The property was appraised at $465,000. What must the earnest money deposit be if Josh presents his current offer?

Answers

Answer: $11,300

Step-by-step explanation:

Given the following :

Buyer Josh's offering price = $452,000

Required deposit rate = 2.5%

Earnest money deposit is the product of :

Offering price × required deposit accepted

$452,000 × 2.5%

$452,000 × 0.025 = $11,300

What is 434 divided by 6 and round it up to the nearest tenth

Answers

Answer:

The answer is 72.3

Step-by-step explanation:

What is the kinetic energy of a 44kg cheetah running at 50 m/s?

Answers

Answer:

55,000 Joules,

Step-by-step explanation:

Kinetic energy = 1/2 *mass * velocity^2

= 1/2 * 44 * 50^2

= 55,000 Joules,

Help me with Radians

Answers

L= R x angle = 7 x 2 = 14

Darryl is a plumber. He charges $35 to make a service call and $20 an hour for any repairing. Write an algebraic equation relating Darryl’s charge to the total number of hours of labor required.

Answers

Answer:

Y= 20x+35

Step-by-step explanation

This is the eqaution, because the amount of hours he works is x and the phone call are an added plus. Add them together and youll get y

Solving a two-step equation for y

5y + 12 = 32

a
y=5
b
y=6
c
y=8.8
d
y=4

Answers

HOW DO I START?

Don't worry, you know that this problem only has two small steps, and it's done, it should take less than 45 seconds to complete.

WE ALWAYS WANT TO ISOLATE THE VARIABLE TO FIND Y: MAKE IT BE ALONE!

STEP 1: Subtract 12 from both sides, to start getting 5y alone.

NOW YOU HAVE: 5y = 20

STEP 2: Divide by 5 from both sides, to get the Y fully alone.

NOW YOU HAVE: y = 4

Hopefully this helped!

16x-420>-100 I need help please

Answers

Answer:

x>20

Step-by-step explanation:

Answer:

[tex]x > 20[/tex]

Step-by-step explanation:

[tex]16x - 420 > - 100 \\ 16x > - 100 + 420 \\ 1 6x > + 320 \\ \frac{16x}{16} > \frac{320}{16} \\ x > 20[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the slope of the line graphed

Answers

Answer:

The slope is 3/2

Step-by-step explanation:

To find slope you do rise over run

Rise being how much you go up or go down

Run being how much you move sideways

Always measure Rise first, it is the numerator and then Run as the denominator.

Answer:

m= 3/2.

Step-by-step explanation:

To find the slope, use the two points shown in the graph which as (-1, 2) and (1, 5). Plug these into the slope formula [tex](m= \frac{y_{2}-y_{1} }{x_{2}-x_{1}} )[/tex]

[tex]m= \frac{5-2 }{{1+1}}[/tex]

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

Therefore, the slope of the graph is 3/2.

two rangers at stations located 10 miles apart both see a camper distress signal in the distance the signal is at a compass bearing of 70 degrees from the north station and 40 degrees from the south station find the distance to the angle signal from south station to the nearest hundred

Answers

Answer:

10 miles

Step-by-step explanation:

∠1 = 70° and ∠3 = 40°.  Angles of a triangle add up to 180°, so ∠2 = 70°.

Using law of sines:

10 / sin(∠2) = x / sin(∠1)

10 / sin(70°) = x / sin(70°)

x = 10

Agent Hunt is transferring classified files from the CIA
mainframe to his flash drive.
The variable S models the size of the files on the drive
(in megabytes) after t seconds of transfer.

S= 5t +45

How many megabytes does Agent Hunt transfer
every 10 seconds?​

Answers

Answer:

50MB.

Step-by-step explanation:

Its on Khan Academy lol. Good luck on your unit test!!!

Answer:

50

Step-by-step explanation:

Khan Academy is never wrong >3>

с
60 mm
25 mm
What is the length of the hypotenuse?

Answers

Answer:

65mm

Step-by-step explanation:

From the Pythagorean theorem, we can write it as sqrt(60^2+25^2) which is 65.

-12 = 24 + 4b plz i need help asap plzplzplzplzplz i will give brainilest to the person who answers

Answers

Answer:

b=-9 that the right answer

-12=24+4b
-12-24=4b
-36=4b
-36/4=b
b=-9

x - 5/3 = 1 5/12
URGENT!! I BE OF YOU PLZ HELP!!

Answers

Answer:

x= 37/12

Step-by-step explanation:

1 5/12 = 12/12 + 5/12 = 17/12
X - 5/3 = 17/12
X = 17/12 - 5/3
X = 17/12 - 20/12
X= -3/12
X= -1/4

Which one of these grids is shaded red and blue in the ratio 1 : 1/3 ?

Answers

The grid among the answer choices which is shaded 1 : 1/3 is; Choice A.

Which Grid is shaded red and blue in the ratio 1 : 1/3 ?

It follows from the task content that the ratio of red to blue in each grid is as follows;

Choice A; 9 : 3 = 1 :1/3Choice B; 8 : 4 = 1 : 1/2Choice C; 7 : 5Choice D; 10 : 2 = 5: 1Choice E; 3: 9 = 1: 3Choice F; 6:6 = 1 : 1

On this note, it therefore follows that the grid with the required ratio is Choice A.

Read more on ratios;

https://brainly.com/question/13513438

Sixth grade students were asked, “what grade are you in?” Explain why this is NOT statistical question.

Answers

Answer:

they're all in the same grade

because they all are in the same grade

While shopping for​ clothes, Tracy spent ​$26 less than 2 times what Curtis spent. Tracy spent ​$12. Write and solve an equation to find how much Curtis spent. Let x represent how much Curtis spent.

Answers

Answer:

Curtis spent $76

(x=76)

Step-by-step explanation:

12 +26

Tracy spent 12 dollars, which was 26 dollars less two times what Curtis spent

(38)2

You then take 12+26 and multiply it by 2

76

brainliest pls?

44 students completed some homework and the histogram shows information about the times taken. Work out an estimate of the interquartile range. In your working you must show the lower and upper quartiles

Answers

Answer:

19 mins

Step-by-step explanation:

1.4 × 5 = 7

0.8 × 10 = 8

1.4 × 10 = 14

1 × 15 = 15

15 + 14 + 8 + 7 = 44

44 / 4 = 11

Lower Quartile of 44 = 11

Lower Quartile = 10 minutes

11 × 3 = 33

Upper Quartile = 29 minutes

The Range is 19 minutes

The Range is 19 minutes.

What is histogram?

A histogram is an approximate representation of the distribution of numerical data.

Here, we have,

1.4 × 5 = 7

0.8 × 10 = 8

1.4 × 10 = 14

1 × 15 = 15

15 + 14 + 8 + 7 = 44

44 / 4 = 11

Lower Quartile of 44 = 11

Lower Quartile = 10 minutes

11 × 3 = 33

Upper Quartile = 29 minutes

The Range is 19 minutes

To learn more on histogram click:

https://brainly.com/question/17145899

#SPJ2

if the ratio of the radii of 2 circles is 3:4 what is the ratio of their areas?
3:4
6:8
9:16
27:64

Answers

Answer:

9:16

Step-by-step explanation:

3^2:4^2=9:16

I hope this helped and have a good rest of your day!

This is the question please solve this question

Answers

a+b=7 and ab=10 the answer is a-5 and b-2 5+2=7 and 5*2=10

Answer:

a-5 and b-2 5+2=7 and 5*2=10

Step-by-step explanation:

a+b=7 and ab=10

Which pyramid has a greater volume and how much greater is its volume?
8 in
4 in
.
9 in
6 in.
8 in
10 in
A) The volume of the pyramid on the left is greater by 8 in

B) The volume of the pyramid on the left is greater by 24in.

C) The volume of the pyramid on the right is greater by 8 in.

D) The volume of the pyramid on the right is greater by 24 in

Answers

Answer:

A)

Step-by-step explanation:

I did the test and got it correct please mark brainliest. I know it is correct.

The ratio of the side lengths of Figure A to the side lengths of Figure B is 3 : 5. The area of the smaller figure is 36 square inches. What is the area of the larger figure?

Answers

since the ratio is 3:5, we can write it as the fraction 3/5. then do 3/5=36/x and now solves for x. cross multiply and you get 3x=180. divide by 3 and x=60. and that’s the area of the larger

Two beach rental companies compared their sales from last weekend. Both companies rent out jet skis and kayaks, and they charge the same prices. Will's Watersports made a total of $780 from renting 12 jet skis and 9 kayaks. Family Fun Rentals made a total of $570 from renting 7 jet skis and 11 kayaks. What is the cost of each type of rental?

Answers

Answer:

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

Step-by-step explanation:

Since they both rent the vehicles at the same price, "x" for jet skis and "y" for kayaks", we can create equations for each store and a system of equations for these, as shown below:

Watersports:

12*x + 9*y = 780

Fun Rentals:

7*x + 11*y = 570

System:

[tex]\left \{ {{12*x + 9*y=780} \atop {7*x + 11*y=570}} \right.[/tex]

We can isolate "x" on the first equation:

[tex]x = \frac{780 - 9*y}{12}[/tex]

And use it on the second:

[tex]7*[\frac{780 - 9*y}{12}] + 11*y = 570\\5460 -63*y = 6840 - 132*y\\132*y - 63*y = 6840 - 5460\\69*y = 1380\\y = 20\\[/tex]

We can now use this value to find "x":

[tex]x = \frac{780 - 9*20}{12} = 50[/tex]

Therefore Jet Skis cost $50 for the rental and Kayaks cost $20.

PLEASE HURRY!!!!!!!
1) Find the 8th term of the sequence.
6, 12, 24, 48, 96,.......

Answers

It would be 768 because you just keep multiplying by 2.

Answer:768

Step-by-step explanation:

Multiply by 2

For example:

6 at the start(6 × 2 ) 12 then 12 × 2 and so on

School polo shirts come in small, medium, large, and extra large. They are available in 3 colors: red, blue, and green. What is the probability of choosing a large blue shirt?

Answers

Is this a questions your asking for math or just

your friend paid $17 for a shirt. This amount was 85% of the total amount your friend spent while shopping. How much did your friend spend

Answers

Answer:

20$

Step-by-step explanation:

[tex]17 \div \frac{85}{100} = 17 \times \frac{100}{85} = 20[/tex]

There are eight black socks six blue socks and 14 White Sox in a drawer if one sock is randomly chosen from the drawer than what is the probability that the sock not be blue

Answers

Answer:

The probability that the socks picked is not blue is 11/14

Step-by-step explanation:

In this question, we are to calculate that a socks selected from random from the group of socks given in the question is not a blue socks.

This means the socks would either be a black or a white socks

Firstly, we find the total number of socks = 8 + 6 + 14 = 28 socks

Now the probability of picking a blue socks will be 6/28 = 3/14

We must understand that the probability of not picking a blue socks = 1 - the probability of picking a blue socks

Thus, the probability of not picking a blue socks will be 1 - 3/14 = 11/14

Answer:

The probability that a sock chosen at random is not blue P = 11/14 = 0.786

Step-by-step explanation:

Probability is the chances of getting a particular outcome.

Given:

Black socks = 8

Blue socks = 6

White socks = 14

Total = 8+6+14 =28

The probability that a sock chosen at random is not blue P;

P = number of non-blue socks ÷ total number of socks

Number of non blue socks = black + white socks = 8+14 = 22

Substituting the values;

P = 22/28 = 11/14

P = 11/14 = 0.786

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Formula for the area of a face of a cube: A = length x width

Let's find the area of one face.

A = 5 x 5

A = 25

Now, let's multiply the area of one face by 6 because a cube has 6 faces.

25 x 6 = 150

A = 150 square centimeters

Hope this helps! :)

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Each share of the convertible preferred stock, which was dilutive in year 8, is convertible into one share of Bricks common stock. What is the number of shares that Brick should use to calculate year 8 diluted earnings per share Can you guys help me plsssI do not get this work I need help ASAP please!!GHI KLM what is the mKLM Henry conducted a survey on an ad done by his company. In the survey, he asked people to evaluate the ad and state whether they found itextremely poor, poor, good, very good, or excellent. What kind of test is Henry conducting in this survey?O A day-after recall testOB.interview testOc rating scale testOD. open-ended test Eat For 10 Hours. Fast For 14. This Daily Habit Prompts Weight Loss, Study Finds This is the title of an NPR article about a 2019 study that recruited 19 overweight adults diagnosed with metabolic syndrome (elevated blood sugar, elevated cholesterol levels, high blood pressure). Participants were asked to restrict any eating to a period of just 10 hours each day. The study found a statistically significant reduction in body weight after 12 weeks of this eating pattern.Define the parameter in this hypothesis test as a sentence in context. Which of the following is NOT an example of mechanical digestion? MULTIPLE CHOICE.A. Amylase breaking down starch in the mouthB. Churning of food in the stomachC. Segmentation of food in the small intestineD. Chewing of food in the mouth On the map above, country A is __________.A.EgyptB.EthiopiaC.SudanD.Libya