On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.

a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.

b. In what months and years do the accounts have approximately the same amount, and what are the amounts?​

Answers

Answer 1

Answer:

$1000 + $25m and $1300 - 25m ;

1100 + 2.75m

2010 (4th month)

2011 ( 7th month)

Step-by-step explanation:

Joline's account :

Initial deposit = $1000

Monthly deposit = $25

Monthly withdrawal = $25

Number of months = 12

Let m = number of month at any point in time

Initial deposit + total deposit

Amount in Joline's account ; first 12 months

$1000 + $25m - - - (1)

Next 12 months :

$1000 + $25 *12 - 25m

1300 - 25m

Sofia's account :

Deposit amount = $1100

Interest per month = 0.25% = 0.0025

1100 + (1100 * 0.0025 * m)

1100 + 2.75m - - (2)

To find the month:

Equate equation 1 and 2, then find m

$1000 + $25m = 1100 + (1100*0.0025*m)

1000 + 25m = 1100 + 2.75m

25m - 2.75m = 1100 - 1000

22.25m = 100

m = 100 / 22.25

m = 4.494

In year 2010, they have approximately the same amount in the fourth month

1300 - 25m = 1100 + 2.75m

1300 - 1100 = 2.75m + 25m

200 = 27.75m

m = 200 / 27.75

m = 7.207

In 2011 ; they have approximately the se amount in the 7th month


Related Questions

Estimate by rounding both numbers to hundreds and then divide.
76 ÷ 57 is approximately

Answers

Answer:

80 / 60 = 1.3 approximately

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

76 → 10057 → 100Divide: 100 ÷ 100 = 1

I hope this helps!

A snow making machine priced at $1800 is on sale for 25% off. The sales tax rate is 6.25%. What is the sale price including tax? If necessary round your answers to the nearest cent.

Answers

Answer:

1434.375

Step-by-step explanation:

If you multiply 1,800 by 25% you get 1,350

you take 1,350 and add 6.25% because the 6.25% is the tax.

Then you will get 1434.37 or 1434.40

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

No

Step-by-step explanation:

If you find the rate, they are the same.

3 minutes/3= 1 minute

3cm/3= 1 cm

Slug= 1 cm per minute

6 minutes/6= 1 minute

6cm/6= 1 cm

Snail= 1 cm per minute

Kaya rented a limousine for prom. There was a one-time charge of $100, plus an hourly rate of $45. Her total cost for the night was $325. Type an equation to find how many hours Kaya rented the limo.

Answers

Answer:

325-100 = 225

225/45 = hours

You're welcome give brainliest thanks

Match the mathematical expression with its translation

Answers

Order from top to bottom

Write an equation in Point Slope Form that has a slope
of -2 and passes through the point (5,7)

Answers

Answer:

y-7=-2(x-5)

Step-by-step explanation:

point slope equation is y - y1=m(x-x1). so input the slope (m) and the point (x,y) into y1 and x1

13x5=64 blank ÷ blank= 13​

Answers

Answer:

65 divided by 5 equals 13.

Step-by-step explanation:

Answer:

65 divided by 5= 13

Step-by-step explanation:

(5x + 1)2 = 7
what are the solutions

Answers

Answer:

0.329 OR -0.729

Step-by-step explanation:

Answer:

x=1/2

Step-by-step explanation:

distribute first (5x+1)2

=10x+2

combine like terms

=10x+2=7 → transpose 2 then change the sign

=10x=7-2

=10x=5

divide bother sides with 10 to let x remain

=10x/10=5/10

=x=1/2

Graphic organizers
a.
Must be artistic
c.
Are timelines only
b.
Show relationships among information
d.
Show cause and effect only


Please select the best answer from the choices provided
HELP ME IM ON A QUIZ AND TIME IS ALMOST UP PLS

Answers

Answer:

Show relationships among information

Answer:

B

Step-by-step explanation:

How much interest. does a $407 investment earns at 6% over a period of 6
years?

Answers

$146.52

You times the 407 by 6%, then you multiply the product by 6, which would leave you with the added amount.

Michelle has 3
3 cups of cereal. A serving of cereal is cup. How many servings of cereal does Michelle have?

Answers

Answer: 4/5

Step-by-step explanation:

A doctor sees 6 patients in 11⁄2 hours. How many patients does the doctor see per hour?

Answers

Answer:

1.0909090909

Step-by-step explanation:

6÷5.5 is 1.0909090909

round to 1 ig

Answer:

4 patients per hour.

Step-by-step explanation:

1 1/2 hour = 90 minutes

90min/6p= 15min per patient

60min/15min= 4

Times are tough for Peter the Penguin and his "Hug a Penguin" business has been on the decline. Last year Peter the Penguin made $570 dollars from selling hugs. If he experienced a 20% decrease in sales how much did he make this year?

Answers

Answer:

the new sales after decrease in sales percentage this year is $456 dollars

Step-by-step explanation:

The computation of the sales made this year is  shown below:

Given that

last year sales would be $570 dollars

And in this year there is 20% decrease in sales

so, the new sales after 20% decrease would be

= Last year sales × (1 - decreased percentage)

= $570 × (1 - 0.20)

= $570 × 0.80

= $456 dollars

hence, the new sales after decrease in sales percentage this year is $456 dollars

The median of a data set 8, 21, 17, and 13 is 15. If 17 is changed
to 18, what will be the new median? ASAP correct answers only pls help

Answers

15 will be the new median.

The equation for the line that has a slope of −38 and passes through (0, 10) is please help me with this problem.

Answers

Answer:

y = -38x + 10

Step-by-step explanation:

Slope- intercept form:

y + mx = b

Given

m = -38 and point (0, 10)

As per given point, y-intercept is b = 10

So the equation is:

y = -38x + 10

What is 0.099 as a fractio

Answers

Answer:

fraction: 99/1000 Step-by-step explanation:

Troy is chasing his little brother Kyle, but Kyle got a 30 second head start. If Kyle is traveling at 2 feet per second on his tri cycle and Troy is traveling at 5 feet per second on his skateboard, how many seconds will it be before Troy catches Kyle?

Answers

Answer:

20!

Step-by-step explanation:

when you add how far kyle's already traveled you get sixty, the rest of the tt lecture explains the rest, leaving you with 20 seconds

Complete each statement with a number that makes the statement true.
Column A
Column
1.
17 degrees
8. 8 degrees C
2
<-3 degrees
b. 16 degrees C
3.
>-4 degrees
64 degrees
4
-10 degrees C>
d. 5 degrees C

Answers

Answer:

Step-by-step explanation:

1). (d). 5°C < 7°C

2). (a). - 8°C < - 3°C  

3). (c). 4°C > - 4°C

4). (b). - 10°C > - 16°C

Select the correct answer.
What is the solution to this system of equations?
3x + y= 17
x + 2y = 49
ОА.
It has no solution.
B.
It has infinite solutions.
O C.
It has a single solution: x= 15, y= 17.
OD
It has a single solution: x = -3, y= 26.

Answers

Answer:

OD. x=-3, y=26

Step-by-step explanation:

hope it helps

Divide 2/8 by 9/18. Input your answer as a reduced fraction.

Answers

Answer:

the answer in simplest form is 1/2

Step-by-step explanation:

you would do keep flip switch so

2/8 would stay the same but 9/18 would be 18/9 then multiply 2/8 by 18/9 then put in simplest form by dividing

After divide, the value of fraction is 1/2.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Divide 2/8 by 9/18.

Now, We can divide the numbers as;

⇒ Divide 2/8 by 9/18

⇒ 2/8 ÷ 9/18

⇒ 2/8 × 18/9

⇒ 36/72

⇒ 1/2

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Whats a negative number that has an absolute value greater than 10

Answers

Answer:

-11

Step-by-step explanation:

Absolute value means the distance from 0 so in this case, anything that is 10+ from 0 will work

Answer:

-11

Step-by-step explanation:

The absolute value of -11 is 11, and that is greater than 10.

I hope you enjoyed the answer, and if it was helpful, please mark this as brainliest! Thank you! :)

Please help, I will give brainliest to correct answer!!
n/4 = 6
What is the value of n?

Answers

Answer:

N=24

Step-by-step explanation:

N/4=6 (times 4 to the other side)

N=24

Answer:

n = 24

Step-by-step explanation:

1) Isolate n!

n/4 = 6

×4 ×4

n = 24

I need help with this

Answers

Answer:

First box:

1/8 of 5, 5 x 1/8, 5 divided by 8

Second Box:

8 divided by 5, 1/5 of 8,

Third Box:

5 x 8

Step-by-step explanation:

Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54 for 18 pieces of sandpaper at his local hardware store. Which purchase had the highest per item cost?
A.
paintbrushes
B.
light bulbs
C.
sandpaper
D.
drywall anchor screws

Answers

Answer: Light bulbs.

Step-by-step explanation:

Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.

Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.

Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.

Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.

can anyone help me with Combining like terms with negative coefficients
I'm not good at math

Answers

Yes if you give me brainiest

Help 2.0 mathhhhhhhhhhh

Answers

Answer:

the answer is -13/15

Step-by-step explanation:

hope this helps

What is an equation of the line that passes through the points (4,1) and (8, -3)?
O A. y = x - 3
O C. y = -x + 3
B. y = x - 11
OD. y = -x + 5

Answers

Option D.
Find slope first, then b for y intercept

-4x-y=24 missing value

Answers

Answer:

For solving x         x= -24+y/4  For solving Y                y=−24−4x

Step-by-step explanation:

This is solving for x

Add y to both sides.

−4x=24+y

Divide both sides by -4

and the answer is

x= -24+y/4

THis is solving Y

Add 4x to both sides

−y=24+4x

Multiply both sides by -1

and the answer is  

y=−24−4x

i kinda understand this but not really and i really need the ec points.

Answers

Answer:

the c

Step-by-step explanation:

Answer: Point C

It is not a factor of 2 because 3 aint

-28+4x=4(x-7) how many solutions marking brainlest

Answers

Answer:

x^2 + 5 x + =0

Step-by-step explanation:

We need to factor this trinomial by grouping.

The first step in this process consists of splitting the middle term into two terms.

In our example, 5x  has been split into 2x and .

Notice that one common factor can be factored from the first 2 terms, and another from the second 2 terms

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