Winnie Bracken opened a savings account at Dallas Trust Bank on March 1. It pays 4% interest compounded quarterly. She opened her account with initial deposit of $10,000. She made $1,000 deposits at the end of each quarter. How much is in the account at the end of 6 quarters?

Answers

Answer 1
The answer is 16,240

I just timed 4% to 1 thousand which got me 40. I added 40 to a thousand. Then timed 1040 to 6 which got me 6240. I added 6240 to 10 thousand to get 16,240.
Answer 2

The compounded interest is applied to the amount in the account at end

of a period specified in the rate of compounding.

The amount in the account at the end of 6 quarters is approximately $16,767.2

Reasons:

The interest paid on the account = 4% compounding

Amount with which she opened the account = $10,000

Amount she makes as deposit at the end of each quarter = $1,000

Therefore;

The interest per quarter = 4% ÷ 4 = 1%

Amount in the account after the end first quarter, A₁, is therefore;

A₁ = 10,000 × 0.01 + 10,000 + 1,000 = 11,100

The amount in the second quarter, A₂, is given as follows;

A₂ = 11,100 × 0.01 + 11,100 + 1,000 = 12211

A₃ = 12211 × 0.01 + 12211 + 1,000 = 13333.11

A₄ = 13333.11 × 0.01 + 13333.11 + 1,000 = 14466.4411

A₅ = 14466.4411 × 0.01 + 14466.4411 + 1,000 = 15611.105511

At the end of the 6th quarter, we have;

A₆ = 15611.105511 × 0.01 + 15611.105511 + 1,000 = 16767.2165991

The amount in the account at the end of 6 quarters, A₆ ≈ $16,767.2

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Related Questions

What are the coordinates of the image Triangle ABC reflection over the line y=x ( please help!!)

Answers

Answer:

A (2,-1)

B (-3,-2)

C (-2,1)

Step-by-step explanation:

A (-2,-1), B (3, - 2), and C (2,1)

Image of triangle ABC reflexión over the y: opposite of the x-coordinates. The y coordinates stay the same.

A’ (2,-1), B’ (-3, -2), and C’ (-2,1)

Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:

Answers

20 buckets and cement

I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks​

Answers

no thank you IoI, good luck tho <3

- The price of an item increases from $90 to $100. Find the increase per cent.​

Answers

Answer:

The increase as a percentage was 11.1%.

Step-by-step explanation:

The increase is $10.  The ratio of this increase to the original $90 is

$10

------- = 1/9

$90

Multiplying this by 100%, we get 11.1%.

The increase as a percentage was 11.1%.

Is this relation a function? {(3, 2), (5, 9), (11, 25)}

Answers

Answer:

Yes

Step-by-step explanation:

None of the X values are the same number.

How long does it take him to make $375.25

Answers

where’s the root to the question

Pleaseeee help meee with this!!!!!!!!!!!!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are same side interior angles, so together they add to 180 degrees. So you can make this equation:

6x + 4 + 4x - 14 = 180

10x - 10 = 180 (Combine like terms)

10x = 190 (add 10 to each side)

x = 19 (divide both sides by 10)

These two angles add up to 180°

So just add them together and make them equal to 180°

6x + 4 + 4x - 14 = 180

Add like terms

10x - 10 = 180

10x = 190

x = 19

Pick the corrrect one form the dropdown

Answers

Answer:

easy

Step-by-step explanation:

Its very easy for any human to be able to see and compare data as when they are right next to eachother, so you can easily prove a good strong point

In Damien's classroom, the ratio
of boys to girls is 4:5. If there
are 12 boys, how many students
are there in all in Damien's
classroom

Answers

Answer:

The answer would be 27 students

Step-by-step explanation:

4=boys

5=girls

4 x 3 = 12

5 x 13 = 15

12+ 15 = 27

someone.. please help me asap...............................................

Answers

Answer :

4x + 9y = 27

Explanation :

Multiply the equation with 9

9( y = -4x/9 + 3 )

9y = -4x + 27

4x + 9y = 27

27 is the answer btw

Luke is going to reflect point R(6, 10) over the y-axis what are the coordinates for R

Answers

Answer:

R - (-6,10)

Flip the x-value when reflecting over y axis, and flip y-value when reflecting over x-axis

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

The answer is 38% .I hope this helps

HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\left(-\dfrac 16 \right)^2 +\dfrac 58 \left(-\dfrac 19} \right)\\\\\\=\dfrac 1{36} -\dfrac{5}{72}\\\\\\=\dfrac 2{72} - \dfrac{5}{72}\\\\\\=-\dfrac 3{72}\\\\\\=-\dfrac 1{24}[/tex]

Answer:

Step-by-step explanation:

(-1/6)^2 + 5/8(-1/9)= -0.0416

Thus the answer is -1/24

Anyone please solve and explain part b

Answers

Answer:

f(2) = -6

f inverse of 1/2 is 17/2

Step-by-step explanation:

We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]

To solve for part (a), we have to substitute x = 2 in f(x).

[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]

Therefore, f(2) is -6.

Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).

[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]

To solve for part (b), first we solve for x in the function. Let f(x) = y.

[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]

Multiply both sides by 2x-5.

[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]

Divide both sides by y-term.

[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]

Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]

Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]

Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]

____________________

Let me know if you have any questions in comment.

Please someone help solve:
2/2t√3≡4-2√3

Answers

Answer:

i'm assuming you want to solve for t?

t=(2√3+3)/6

‼️‼️‼️PLS HELP I WILL MARK U BRAINLIEST‼️‼️‼️

Which translation can be used to prove that figures two and three are congruent?

A) (x, y) —> (x, y - 4)

B) (x, y) —> (x - 3, y + 1)

C) (x, y) —> (x + 2, y)

D) (x, y) —> (x + 1, y - 3)

Answers

Answer: a I think

Step-by-step explanation:

A group of students are working on a project. They complete 30%percent of the project in 12 hours. If they continue to work at the same speed, how many hours will it take the group to finish the project

Answers

Answer: 40 HOURS

Step-by-step explanation:

If the students complete 30% of the project in 12 hours,

that means:

12 h................................30%

? h...................................100%

(12*100)/30= 40H

THE STUDENTS NEED 40H TO COMPLETE THE PROJECT

It will take 40 hours for the group to finish the project.

How many hours will it take the group to finish the project?

If the students complete 30% of the project in 12 hours,

that means:

⇒ 12 h = 30%

⇒ ? h = 100%

By using percentage theory:

Percentage formula = (Value/Total value) × 100.

⇒ (12*100)/30= 40H

The answer is 40 hours.

What are a percentage and its formula?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100.

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can someone help me for this?​

Answers

Answer:

500000N=2m

x. =6m

cross multiply, it'll be

6×50000÷2

=150,000N

Which of the following gives and example of an equation that is non-linear?
A y=2x+1
B y=15/x
C y=10x
D y=x/5

Answers

The answer is A. y=2x+1

A is the only equation in which the numbers are not naturally written,but there is another numbering being either taken or added to the situation (+1). B and D both are divided which is linear, and C is multiplying which is also linear. This only leaves us with A.

Hope this helps. & don't forget to drink water <3


The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.

Answers

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

To learn more about digits,

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25 points! :)

Pretty simple question, just not sure how to do it.

Answers

ANSWER

-3 -2, 0, .5, 1, 100 for domain

0, 1.8, 10, 19, 77, 100 For Range

Step-by-step explanation:

Domain is all the x values from least to greatest, and range is all the y vlues from least to greatet

Please helppp!!
I have to find the slope of the blue line that is in the graph!!

Answers

slope = 4/5 because the formula for slope is rise/run. count the x and y units point one and point two are away from each other.

Is 1 a real or an imaginary number?

Answers

Real number, 1 is a real number
1 is a real number for me and my sister

A certain stock sold for $24.89 per share on Thursday. On Friday it sold for $21.36. Find the decrease in the price of the stock from Thursday to Friday.

Answers

It would have 10$ left to fill

On a line, if XY=6, YZ=8 and XZ=2, which point is between the other two?

A. X
B. Y
C. Z
D. Cannot tell​

Answers

I’m pretty sure it’s X

what is 2 2/3 - (-3 2/6)

Answers

Answer:

6

Step-by-step explanation:

Can someone please help me with this one? Tysm!!

Answers

Answer:

-26

Step-by-step explanation:

well add the negative numbers first so you get

-17-18=(-35)

then you add 9 so its (-35)+9=26

Answer:

Step-by-step explanation:

-17 + 9 +(-18) = -8 -18 = -26 final answer

What is the equation of a line with a slope of 4 that passes
through point (-2,5)? A y = -1/4x - 3 B y = -4x + 5 C y = 4x + 5 D y = 4x + 13

Answers

Answer:

Solution given:

slope(m)=4

passes through (x',y')=(-2,5)

we have

equation of a line is:

y-y'=m(x-x')

substituting value we get

y-5=4(x-(-2))

y-5=4(x+2)

y-5=4x+8

y=4x+8+5

y=4x+13 is a required equation of a line.

Kasey had to make a down payment of 17% of the selling price of her house. She was approved for a $255,000 mortgage. What range of costs might she expect to pay at the closing?

Answers

Answer:

aq lang to Yung d na binalikan Yung iniwan na parang basura

What is the HCF of 62 and 24 ?

Answers

Answer: As you can see when you list out the factors of each number, 2 is the greatest number that 24 and 62 divides into.

Step-by-step explanation:

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