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

pleaseeee helpppp :(((((

Answers

Answer: With what??? I don't see nun

Answer:

I do not see any files or papers attached.

Step-by-step explanation:

Which expression is equivalent to 6(3x + 4)?
1: 18x + 4
2: 18x + 24
3: 9x + 10
4: 9x + 4

Answers

Answer:

2. 18x + 24

Step-by-step explanation:

Distribute the 6 to create 18x + 24

18x+24
Multiple 6 to both 3x and 4.

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

The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.

Answers

Answer:

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Step-by-step explanation:

From statement we get the following equations:

Supply curve

[tex]90\cdot x - y = -50[/tex] (1)

Demand curve

[tex]10\cdot x + y = 200[/tex] (2)

Where:

[tex]x[/tex] - Quantity, measured in thousands of metric tons.

[tex]y[/tex] - Price, measured in US dollars per metric tons.

If we add both equations, then we find that quantity is:

[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]

[tex]100\cdot x = 150[/tex]

[tex]x = \frac{3}{2}\,kton.m[/tex]

Then, we finally find the price by substituting on (2):

[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]

[tex]y = 200-15[/tex]

[tex]y = 185\,USD[/tex]

The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].

Two factors of –48 have a difference of 19. The factor with a greater absolute value is positive.

What is the sum of the factors?

–19
–13
13
16

Answers

Answer with no step-by-step explanation:

13

6x+18y=18 find y and z

Answers

6x + 18y = 18. Let us take x = 0

6(0) + 18y = 18

0 + 18y = 18

18y = 18

y = 18/18

y = 1

(0, 1) [x = 0, y = 1]

6x + 18y = 18. Let us take y = 0

6x + 18(0) = 18

6x + 0 = 18

6x = 18

x = 18/6

x = 3

(3, 0) [x = 3, y =0]

Infinite solutions can be found for x and y

A is what percent of B?
A = 2 qt, B = 2 gal

Answers

Step-by-step explanation:

4qt=1gal

8qt=2gal

percent of b=a

x%times b=a

x%=a/b

x%=2/8

x%=1/4=25%

answer" 25%.

Can you solve?
|x+5|=12
What is the answer please

Answers

Split the equation
x + 5 = 12
x = 7
X + 5 = -12
x = -17
The answer is 7 and -17

what is the answer for x?

Answers

Answer:

x=5

Step-by-step explanation:

I first subtracted 88 from 180 because we know that 180 is the total degree of the three angles in a trangle. I got 92, then divided that by 2 since there are two angles that are unknown. I got 46, which I can then use to form the equation (9x+1)=46. I subtracted 1 from both sides to get rid of the 1 (since we're finding what x equals to), I then got 9x=45. After that, I divided 9 from both sides and got the answer x=5.

Hope this helped you : )

Parallel and perpendicular line what do the following two equations represent? y-3=2(x-3)

y+5=2(x+1)

A) The same line

B) Distinct parallel lines

C) Perpendicular lines

D) Intersecting, but not perpendicular lines

Answers

the answer is A) the same line

Answer:

A or D

Step-by-step explanation:

The price of a video game was reduced from $60 to ​​​​​​​$45. By what percentage was the price of the video game reduced?
A.15%
B.25%
C.75%
D.40%

is it A?
im just not really good at math and I don't have much time left for the test im taking so PLEASE HELP!

Answers

Answer:

B. 25%

Step-by-step explanation:

You turn the 25% into a decimal so it would be .25 then you multiply by 60. After that you subtract the answer you have by 60.

When translating the point (3,5) 5 units up and 3 units to the left, we should get:

Answers

Answer:

(0, 10 )

Step-by-step explanation:

5 units up means add 5 to the y- coordinate

3 units left means subtract 3 from the x- coordinate

Translation rule is

(x, y ) → (x - 3, y + 5 ) , thus

(3, 5 ) → (3 - 3, 5 + 5 ) → (0, 10 )

can some one help me with this please and show me how to do this?

Answers

Answer:

1.8

Step-by-step explanation:

Calculate the absolute values - the -1 turns into 1. Than the 0.8 stays the same.After that you just add them together

In​ 2009, a poll found that ​47% of people favored the protection of the environment at the risk of limiting energy​ supplies, while 47​% favored the development of energy supplies even if that risked harming the environment. Another 4​% felt that energy and the environment were equally important. what's the probability a person had​ "No Opinion"? NEED HELP ASAP!

Answers

Answer:

It will be 84

Step-by-step explanation:

The sum of two consecutive integers is two more than the third integer. Find the integers

Answers

Answer:

              3, 4, 5

Step-by-step explanation:

x        - the first integer

x+1   - the next integer consecutive to x (the second consecutive integer)

x + x+1    - the sum of two consecutive integers

x+1+1=x+2 - the integer consecutive to x+1 (the third consecutive integer)

x+2 + 2  - two more than the third integer

x + x+1  = x+2 + 2

2x + 1 = x + 4

x + 1 = 4

 x = 3

x+1 = 3+1 = 4

x+2 = 3+2 = 5

Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. x=10 in.

Answers

Step-by-step explanation:

The formula for calculating the area of a square is expressed as;

A = x² where;

x is the length of one side of the square

Given

x = 10in

A = 10²

A = 10 * 10

A = 100in²

Area of the square with side length 10in is 100in²

From the equation A = x², we can see that as the value of x increases, the value of the area also increases and vice versa. This means that the area of the square is directky proportional to its length. Hence we can say YES, the area of a square and the length of its side directly proportional

Answer:

100 sq in

Step-by-step explanation:

No, not proportional

when a number i added to its square , the result is 6 what is the number

Answers

Answer:

2

Step-by-step explanation:

2 ² is 4. If you add 2 to 4, you get 6. Therefore, the answer is 2.

Solving using factorization method, the unknown number is either -3 or 2.

What is a square of a number?

The square of a number is the product win a number is multiplied by itself.

Let the unknown number be a.

Square of a = a × a

The number is added to its square:

[tex]a + a^{2}= 6[/tex]

[tex]a^{2} \: + a - 6 = 0[/tex]

solving by factorization:

a = -3 or 2

Therefore, the unknown number is either -3 or 2.

Learn more about factorization at: https://brainly.com/question/20293447

#SPJ2

PLEASE HELP ASAP PSLLLSLSL look at photo

Answers

Answer:

Last one

Step-by-step explanation:

Negative one times 6r is -6r and then that eliminates two of the four. the rest is common sense tbh.... but it is the last one. Hope this helps

The first four terms of a sequence are shown below:

9,5, 1, -3

Which of the following functions best defines this sequence?


Answers

Answer:

-4

Step-by-step explanation:

Please Help And Hurry!! (WORTH 20 POINTS)







Solve
5h – 15 + 7h = 40

(Sorry if this is easy I'm bad at math)

Answers

Step-by-step explanation:

h= 55/12 if thats what u askin for

Given equation:

5h – 15 + 7h = 40

To find?

value of h

Explanation:

[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]

[tex] :\implies \bold{5h + 7h = 40 + 15}[/tex]

[tex] :\implies \bold{12h= 55}[/tex]

[tex]:\implies \bold{h = \dfrac{55}{12} }[/tex]

[tex]:\implies\underline{\boxed{ \bold{h = 4.583}}}[/tex]

Verification:

[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]

[tex]:\implies \bold{(5 \times 4.583) – 15 +( 7 \times 4.583)= 40}[/tex]

[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]

[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]

[tex]:\implies\underline{\boxed{ \bold{ 40= 40}}}[/tex]

what is the greatest common factor of 10 & 12,17 & 51,78 & 48,11 & 55,88 & 66,95 & 38,6 & 27,56 & 49,60 & 45,42 & 63,38 & 40,81 & 54,40 & 80,46 & 69

Answers

yeah baby girl it will be best for you to look that up on Google

-(-2-n) simplify please

Answers

Answer:

2 - n

Step-by-step explanation:

Subtract a negative is the same thing as adding a positive, so -(-2 - n) is the same thing as 2 - nWhat we did there was cancel out the two minus signs, and formed a positive.

I hope this helps!

Find the total interest:
$40,900 at 6.2%
for 2 years

Answers

6.2% of 40,900 is $2535.8

To find out how much money it'll be in 2 year, you have to use multiplication.

2535.8 x 2 = $5071.6

The interest after 2 years is $5071.6

your welcome

Which pair of triangles must be similar? * 1 point Triangles 1 and 2 each have a 50 degree angle. Triangles 3 and 4 are both isosceles. They each have a 60 degree angle. Triangle 5 has a 40 degree angle and a 95 degree angle. Triangle 6 has a 35 degree angle and a 70 degree angle. Triangle 7 has a 60 degree angle and a 10 degree angle. Triangle 8 has a 60 degree angle and a 100 degree angle.

Answers

Answer:

Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.

This is a similar triangle.

Step-by-step explanation:

Isosceles triangle is one in which two sides are equal.

Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.

Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.

The other choices given are not similar triangles because

1) they do not have all corresponding angles equal

2) their lengths are unknown and cannot be assumed to be in ratio.

Solve for the value of s.
58
(s-4)

Answers

Answer:

Step-by-step explanation:

58(s-4)=0

58s-232=0

58s=232

S =232/58

S=4

Value of a is 4.

what is the answer so i can pass

Answers

Answer:

8/100 is equivalent to 0.08

Step-by-step explanation:

The second digit place to the right of the decimal point is the hundredths place, so that is where the 8 belongs because it is 8/100 in fraction form.

Hope this helped :)

Ansha drove 45 MPH (miles per hour). How far can she go in 3 hours?

Answers

Answer:

135 miles

Step-by-step explanation:

45 mph means if you steadily go 45 mph for an hour you will have traveled 45 miles. Therefore you multiply your speed by time (45*3) which gives you 135 miles.

What two numbers multiply to 11.6
Please help

Answers

5.8 x 2 is an answer

me need help. xjjd j dsj​

Answers

i think it is 4.66? 14/3=4.66

Answer:

$4.67

Step-by-step explanation:

John + 2 friends = 3

Total cost = $14

$14/3 = $4.6666

$4.6666 ---> $4.67

Consider Brainliest! Hope I helped!

In the equation 3x+7=15, the number 7 is a.​

Answers

Answer:

constant

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+7=15

= 3x= 8

=X=2.6(6 is reoccurring)

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