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

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.

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

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Yes if you give me brainiest

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:

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What is 0.099 as a fractio

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Answer:

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

Match the mathematical expression with its translation

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76 ÷ 57 is approximately

Answers

Answer:

80 / 60 = 1.3 approximately

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

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Answer:

x^2 + 5 x + =0

Step-by-step explanation:

We need to factor this trinomial by grouping.

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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.

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Michelle has 3
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Answers

Answer: 4/5

Step-by-step explanation:

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

Select the correct answer.
What is the solution to this system of equations?
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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:

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Answers

Answer:

the c

Step-by-step explanation:

Answer: Point C

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

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

N=24

Step-by-step explanation:

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

N=24

Answer:

n = 24

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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

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So the equation is:

y = -38x + 10

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Must be artistic
c.
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b.
Show relationships among information
d.
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HELP ME IM ON A QUIZ AND TIME IS ALMOST UP PLS

Answers

Answer:

Show relationships among information

Answer:

B

Step-by-step explanation:

-4x-y=24 missing value

Answers

Answer:

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Step-by-step explanation:

This is solving for x

Add y to both sides.

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x= -24+y/4

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y=−24−4x

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>-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

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:

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

$146.52

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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

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Answer:

First box:

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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?
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paintbrushes
B.
light bulbs
C.
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D.
drywall anchor screws

Answers

Answer: Light bulbs.

Step-by-step explanation:

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

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

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:

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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

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=10x=7-2

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Answers

Answer:

No

Step-by-step explanation:

If you find the rate, they are the same.

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Answers

Option D.
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