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

use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24​

Answers

Step-by-step explanation:

It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.

If you divide 6 by 1/4, you will get 24.

If you divide 4 by 1/6, you will get 24.

How to create 1/4 from 1,3, and 4?

How to create 1/6 from 1,3, and 6?

Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!

So, the answer is 6/[1–3/4]=24.

Among the given numbers you can see that 6*4 gives you 24 but you have to use 1 and 3 .

You can't multiply 1 and 3 in numerator because you won't get 24, and you can't even divide it by 1,3 .

So only way is to get 1 in the denominator which can be obtained by

6/(1–(3/4)

which simplifies to 6/(1/4) = 24

Simply 8(x-3)+12(x+2)

Answers

Answer:

20x

Step-by-step explanation:

First.... distribute the 8 and 12 to the perenthesis next to them. Then, all like terms. The final answer will be 20 * x or 20x.

Factor 18p-36 to identify the equivalent expressions. Choose 2 answers:

Answers

Answer: 9(2p-4)

The greatest common factor of 18 and 36 is 9.

Divide 9 by 18, and 9 by 36.

36 ÷ 9 = 4

18 ÷ 9 = 2

We have to add p to the 2 as well, and a 4 in parentheses.

We get the answer 9(2p-4).

Answer:

It would be a and c

Step-by-step explanation:

The price of an item yesterday was $180. Today, the price rose to $279. Find the percentage increase.
HELPPP
PLEASSE
DONT SWIPE PAST:,(
I SAW THATTTT

Answers

Answer: 55%

1. 279 - 180 = 99

2. 99 divided by 180 = 0.55

3. 0.55 x 100 is 55.

55 is the percentage

If you were to do the solution to this correctly you would end off with a 55% chance of increasing to ur total.

The level of water in a draining pool can be modeled with the function d(t)= 12 (.72) ^ t, where d is the depth of water, measured in feet, and t is the amount of time it’s been draining, measure in days.

Calculate the average rate of change for 0 greater or equal to t and 4 is greater or equal to t.

Answers

Answer:

[tex]\approx[/tex] -2.195

Step-by-step explanation:

Given the function:

[tex]d(t)= 12 (.72) ^ t[/tex]

[tex]d[/tex] is the depth of water in feet and

[tex]t[/tex] is the amount of time

To find:

The average rate of change for [tex]t[/tex] in the interval [0, 4].

Solution:

The required rate of change in the time interval [0, 4] can be represented as:

Change in the function over the interval [0, 4] and the change in the interval.

OR

[tex]\Rightarrow \dfrac{d(4)-d(0)}{4-0}\\\Rightarrow \dfrac{12 (.72) ^ 4-12 (.72) ^ 0}{4-0}\\\Rightarrow \dfrac{3.22-12 \times 1}{4}\\\Rightarrow \dfrac{3.22-12}{4}\\\Rightarrow \dfrac{-8.78}{4}\\\Rightarrow \bold{-2.195}[/tex]

HELP URGENT I AM TIMED PLEASE SOLVE AND EXPLAIN YOUR ANSWER DUE IN 5 MINUTES :)

Answers

Answer:

njblhgkc dggh,bn bhjvbhj,n hg cfxzedsetxdrycfuvgibkhjnm

Step-by-step explanation:

Ryan achieved an 89% on the same multiple choice test. He answered some questions correctly, left at least one blank and
got at least one wrong answer. He also got some possible points for extra credit. Give one possible answer combination of the
questions Ryan could have answered on the multiple-choice test.

Answers

Answer:

Ryan could have answered multiple choice answers and true or false answers rather than knowledge answer like written prompts

Step-by-step explanation:

Hope this helped:)

I forgot how to simplify like this can someone explain to me how i do this?

Answers

Answer:

Just subtract 11 from 7.

Answer:

-4

Step-by-step explanation:

e + a = ?; where e and a are corresponding angles.

e = 55°

Answers

Answer:

e+a=110° because e and a are corresponding angles ♥️

What is the binary number for 16​

Answers

Step-by-step explanation:

Answer:

0001 0000

this is the answer and i had to make it longer so i could post it

Over the next 12 months you have to read more than 48 books you have to read x books per month the inequality 12x >48 solve this inequality to find the number of books you have to read per month

Answers

Answer:

4

Step-by-step explanation:

12x>48 so divide 48 by 12 to solve for x so x is 4

help me please i have no idea how to do this

Answers

The correct answer is A.

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. In other words, to be coplanar, all points have to lie in the same plane. Point d is not in the plane, therefore all points except d, are non coplanar.

At the amusement park there were t-shirts for sale for $18.95 each. James bought 4 of them. About how much did he spend?
$80.00
$60.00
$24.00
$75.80

Answers

James would be spending the amount of  $75.80 which is the correct answer would be an option (D).

What is the Multiplication operation?

In mathematics, the multiplication operation Values on each side of the operator are multiplied.

We have been given that there were t-shirts for sale for $18.95 each at the amusement park, and James bought 4 of them.

To determine the amount of cost did he spend.

The amount of cost is equal to the multiplication of each t-shirts cost and

quantity.

The amount of cost = the cost of each t-shirt × quantity

The amount of cost = $18.95 × 4

Apply the multiplication operation to get

The amount of cost = $75.80

Therefore, he would be spending the amount of  $75.80.

Learn more about the arithmetic operations here:

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Please help me I don’t understand

Answers

Answer:

the first and fifth one

Step-by-step explanation:

Answer:

the first and second one

Step-by-step explanation:

I need help plz asap

Answers

Answer: Angle A = 34 degrees

================================================

Explanation:

Check out the diagram below.

Segment BD cuts angle EBC in half

So the two smaller pieces DBC and DBE are congruent. Let's call them x.

Let's make y = angle EBA.

Note how the diagram shows the angles x, x, and y forming a straight angle. So we can say

x+x+y = 180

2x+y = 180

y = -2x+180

We'll use this later.

For now, focus on triangle DEB. Angle E is 90 degrees and angle B is x.

D+E+B = 180

28+90+x = 180

x+118 = 180

x = 180-118

x = 62

Which means

y = -2x+180

y = -2*62+180

y = -124+180

y = 56

Now focus on triangle BEA. We have B = 56, E = 90 and A = z

B+E+A = 180

56+90+z = 180

146+z = 180

z = 180-146

z = 34

which is the measure of angle A.

plsssssssssssssss help with 11

Answers

Answer:

1 = $3.50

( I tried my best)

The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above ground?

Answers

Answer:

1,050 feet

Step-by-step explanation:

All you have to do is take the total height 1,454 and subtract the distance from the top to the 86th floor. 1,454-404 which gives you 1,050.

The ending balance on an investment is $1,620.24. If the principal was invested at 8% for nine years, what was the principal?​

Answers

$942
Found this question on an old paper from school .

With a two-year agreement, Sarah can add up to 4 lines for $9.99 each. Her first monthly bill totals 89.96. Sarah did not exceed the "anytime minutes" limit and did not engage in "text messaging". How many lines did she add to her plan? Write an equation, and then solve.​

Answers

Answer:

The answer is 267.

Step-by-step explanation:

If we wanted to represent this scenario as an equation, it would be 22.40-14+.5x (x being the amount of texts after 250). We are using PEMDAS, but because the variable is unknown, we skip multiplication and just go left to right. 22.40 - 14 = 8.40. With 8.40, we now know how much it costed AFTER 250 messages (how much she owes after $14). If we want to find how many PER 50 cents, we have to DIVIDE (reverse of multiplication). 8.4 / .5 = 16.80. Because you can't send .8 of a text message, you round to get 17. 250 + 17 = 267 (messages sent that month).

Therefore the answer is 267 (250 + 17)

Emily can ride her scooter 18 miles in 50 minutes.

c. What is her unit rate in miles per hour?

Answers

Answer:

22.5 miles per hour (rounded answer)

Step-by-step explanation:

This is a fraction equal to

18 miles ÷ 0.8 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.8

18 miles ÷ 0.8

0.8 hours ÷ 0.8

=  

22.5 miles

1 hour

=  

22.5 miles

hour

= 22.5 miles per hour

Answer:

there is no miles per hour because she wasn't riding for an hour

share £40 in the ratio 1:3:4

Answers

Answer:

hi

Step-by-step explanation:

1x+3x+4x= £40

1. 8x=£40

2. X=40/5

3. X=£5

1×£5= £5

3×£5= £15

4×£5= £20

each will get

£5

£15

£20

Hope It Helps You

One Saturday, a butcher sells a total of b pounds of beef at $6.00 per pound. She also sells some pork for $7.00. On Sunday she sells b pounds of beef again, but at the sale price of $4.00 per pound. She also sells some pork for $9.00. Given that she made the same revenue of d dollars each day, which of the following systems of equations can be used to find out how many pounds of beef, b, she sold each day?

Answers

The equations that can be used to find out how many pounds of beef, b, she sold each day will be:

d = 6b + 7.

d = 4b + 9

How to illustrate the equation?

From the information given, the butcher sells a total of b pounds of beef at $6.00 per pound and she also sells some pork for $7.00.

Therefore, the equation will be:

d = (6 × b) + 7.

d = 6b + 7.

d = (4 × b) + 9

d = 4b + 9

Learn more about equations on:

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Emie read that the movie made 25,992,412.50 in its third week he also read that the average ticket price for this week was 8.35how many people saw the movie this week

Answers

Given :

Collection in third week, C = $25,992,412.50 .

Average ticket price, T = $8.35 .

To Find :

Number of people who saw movie in  week.

Solution :

Let, number of people are x.

[tex]\text{Number of people }=\dfrac{\text{Total amount }}{\text{Average price}}\\\\= \dfrac{25,992,412.50 }{8.35}\\\\[/tex]

≈ 3112864

Therefore, around 3112864 people saw the movie this week.

Hence, this is the required solution.

Jen and Brandy are studying soil. They each collected a sample of soil from the front yard of the school and then analyzed its components. Finally, they compared their results and found that they were very different. Their findings are recorded in the chart below.
How should Jen and Brandy proceed?

A.They should discuss their results and try to figure out why they are different.

B. They should ignore the differences in their results and complete their lab report.

C. They should argue about which student is right.

D. They should ask their teacher which set of results are more accurate.

Answers

Answer:

A. They should discuss their results and try to figure out why they are different.

May I have Brainliest once you confirm that it's correct?

Answer:

C

Step-by-step explanation:

[6×(4−2)+(21×23+1)]÷32

Answers

Answer:

Step-by-step explanation:

15.5

Answer:

15.5 is your answer. can I solve. for these u say yes or no

6.What is the radius of the circle?

Answers

Answer:

Radius is half the diameter of a circle

Step-by-step explanation:

If the diameter was 6, then the radius is 3

A logo is made of a square and a semicircle. The square has side lengths of 12 inches. One side of the square is also the diameter of the semicircle. What is the approximate total area of the logo?

Answers

Answer:

The square has side lengths of 22 inches. One side of the square is also the diameter of the semicircle

Step-by-step explanation:

Hopefully its right!

pleaseeee helpppppp asapppp

Answers

Answer:

30

Step-by-step explanation:

Express the recurring decimal 0.56 (Just the 6 is recurring) in its simplest form.

Answers

Answer:

17/30 17 over 30

Step-by-step explanation:

Answer:

17/30

Step-by-step explanation:

All 3 marks are awarded if for maths watch

If done like the following;

x = 17/30

"Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as many stamps as Lyle. Together they have 364 stamps. How many stamps does Amanda own?" Please help me :c

Answers

Answer:

112 stamps

Step-by-step explanation:

Shaquille and Amanda's stamps are described in terms of Lyle's, so:

Lyle's = 6x                     6x+3x+2x=364

Shaquille's = 3x                       13x=364

Amanda's = 4x                            x=28

Lyle has 168 stamps, Shaquille has 84, and Amanda has 112. 168+84+112=364

112 stamps hope this helps
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