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

Learn more about compounding interest rate here:

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Related Questions

If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?

Answers

8.35x1.4= $11.69 So the ticket price for movie A in its first week would be $11.69

Hope this helped :)

please help me if you can​

Answers

A) 100 degrees (congruent angle)
B) 45 degrees (congruent angle)
C) 90 degrees (right angle)
D) 99 degrees (congruent angle)
E) 30 degrees (congruent angle)
F) 30 degrees (180-150=30, that is to find the other angle that is congruent to f)

Write an equation of a line which has a slope of -2 and goes through the point (-4,11)

Answers

Answer:

See answers below

Step-by-step explanation:

slope-intercept form- y=-2x+3

point slope form- y-11=-2(x+4)

Use the given slope and point to substitute into the point-slope formula

then you can solve for y=mx+b

Which statement is necessarily true if is an altitude to the hypotenuse of right ?

Answers

Step-by-step explanation:

it's b

i relly don't know cause theres no image

You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a

Answers

Answer:

15 batteries

Step-by-step explanation:

a. We have

5 batteries = 3 days

5 batteries/3 days = 1

5 batteries/3 days

we need to convert this to 9 days, so

x amount of batteries = 9 days

x batteries / 9 days = 1

5 batteries / 3 days = x batteries / 9 days

b.

5 batteries / 3 days = x batteries / 9 days

multiply both sides by 9 days to get rid of the denominators as well as the days variable

5 batteries * 9 days / 3 days = x batteries

5 batteries * 3 = x batteries

15 batteries = x batteries

x = 15

The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of batteries required for 9 days trip.

a) So, the proportion is

3 : 5 :: 9 : x

b) Solve for x, that is

3x=45

⇒ x=15

Therefore, the number of batteries required for 9 days trip is 15.

To learn more about the proportions visit:

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3/4 of analisa's friends came to her birthday party. express this fraction as a percant and a decimal.

Answers

Answer:

0.75 And 75%

Step-by-step explanation:

If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4

reasking the answer for this one, solve for x please and thank you. click on file ​

Answers

Answer:

44

Step-by-step explanation:

A circle is 360 degrees.

145 +136 + 35= 316

360-316= 44

44 Degrees

The answer is 44° . Hope this helps!!!

I need help with this question

Answers

Answer:

2√14m

Step-by-step explanation:

Hypothenus = 9m

Second side = x

third side = 5m

Using Pythagoras theorem

9² = x² + 5²

81 = x² + 25

x² = 81 - 25

x² = 56

x = √56

= √4 × √ 14

= 2√14m

A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?

Answers

720/5= 144, it will take 144 days for 5 people to finish the project.

Chance and Destiny went shopping at New Fashion Shop,
Everything in the store was at a 30% discount. Chanice
found a dress that was originally $65.00. What was the sale price?

Answers

$65 of 30% discount
$65-$19.50=$45.50
The sale price would be $45.50

-424 +122-72+2

Jason tried to find an expression equivalent to the rational expression

by using

202+1

polynomial long division. His work is shown below.

- 2x + 7x

2x + 1) - 4x4 + 12x3 - 7x + 2

-(-4x4 - 2x2)

14x - 7x + 2

- (14x3 + 7x)

-14x + 2


Jason concluded that -202 + 7+ +

-142+2

was equivalent to the rational expression. Jason's

2x+1

conclusion is incorrect.

O He made a mistake subtracting - 4x4 - 2x² from - 4x4 + 12x² - 7x + 2

He made a mistake by multiplying 2x² + 1 by 2x2

O He made a mistake subtracting 14x + 7x from 14x3 – 7x + 2

O He should have done one more step of long division to divide - 14x + 2 by 2x² + 1

+

Need help understanding this ?

Answers

Answer:

The expression "-424 +122-72+2" doesn't seem to have anything to do with the rest of the problem.  The sum of what was written is -372.  There are no unknowns (x's) in this expression, and yet the work shows x's in the analysis.

Step-by-step explanation:

What does "by using

202+1

polynomial long division."  mean??

do the numbers after the x's represent exponents?

e.g.:  "2x + 1) - 4x4 + 12x3 - 7x + 2" is really "2x + 1) - 4x4 + 12x^3 - 7x + 2"

Lucy bought a desk on sale for $883. This price was 15% less than the original price.

Answers

the answer to the question is 898$

75+45+x/69=180
solve for x please :)

Answers

Answer: just add 75 and 45 + x and do division for 69 ok  but times the 45 with 69 ok good luck

Step-by-step explanation:

here is the next question jj

Answers

Answer:

3.7 and east.

Step-by-step explanation:

Answer:

3.7 and east

Hope this helps! Good luck!! :)

Lyssa and Carlos own a hardware store. They sell a certain type of light bulb in packages that each contain 24 bulbs. The back of each package says, " The expected number of broken or defective packages per bulb is 0.25"
Lyssa says, "If we look at 100 packages, we expect to see a total of about 250 broken or defectve bulbs"
Carlos says, "Any given package most likely contains 0.25 broken or defective bulbs".
Which Statement is correct based on the expected value?
A. Only Lyssa
B. Only Carlos
C. Both Statements are correct.
D. Neither Statement is correct.

Answers

Answer:

Neither statement is correct

Step-by-step explanation:

Khan

Answer:

Neither statement is correct

Step-by-step explanation:

Answer on Khan Acadmey

My I please have some help
Simplify (89^6 x 91^3)^0

1
(89^6 x 91^3)
0
(89^7 x 91^4)

Answers

Answer:

Any number(except 0) to the power 0 is equal to 1. So the the answer is 1.

Step-by-step explanation:

Find 110% of 80 by writing the percent as a fraction

Answers

Answer:

[tex]\frac{80}{100}[/tex] i think its 80 or 88

Step-by-step explanation:

so sorry if this is wrong

Answer:

88

Step-by-step explanation:

x / 80 = 110 / 100

Cross multiply

80 * 110 = 100x

8800 = 100x

Divide both sides by 100

88 = x

Find the value of x in the triangle shown below.

Answers

Answer:

u did a lot of this budy a lot of these

Step-by-step explanation:

which expression is equal to 4 to the power of 5 times 4 to the power of -7 divided by 4 to the power of -2

Answers

the answer is 268435456

So far, Charlie has pures 456.6 Glories. He wants to burn a total of 500 calorierHow many more calories must Charlie burn?
| 0
2

Answers

Well if he’s burned 456.6 calories already and he needs to get to 500 then you would have to simply subtract 456.6 from 500
The equation: 500 - 456.6 = 43.4
Hope this helps!

Hello, thanks for the fast reply! I was trying to make sense of the following equation:

Answers

Answer:

[tex]15\sqrt{3}[/tex] inches

Step-by-step explanation:

[tex]2\sqrt{12} +2\sqrt{27} +\sqrt{12}+3\sqrt{3}[/tex]

[tex]2\sqrt{4*3} +2\sqrt{9*3} +\sqrt{4*3} +3\sqrt{3}[/tex]

[tex]4\sqrt{3} +6\sqrt{3} +2\sqrt{3} +3\sqrt{3}[/tex]

[tex]15\sqrt{3}[/tex] inches

Hope this helps!

Using the formula A = l w, determine the area of a rectangle when l = 3.7 and w = 4. Group of answer choices A.) 4.1 B.) 7.7 C.) 12.7 D.) 14.8

Answers

Answer:

D 14.8

Step-by-step explanation:

A=L*W which means length times width. 3.7x4= 14.8

Need to review this problem for finals help pls

Answers

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

if a line has slope -2/3 and passes through point (-3,7) what is the y intercept

Answers

Answer:  The y-intercept is 5.

Step-by-step explanation:

We can write what we know in the form of a slope intercept equation,

y=mx + b,

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope:

y = -(2/3)x + b

We need a value of b that forces the line through the point (-3,7).  Enter the point and solve for b:

y = -(2/3)x + b

7 = -(2/3)*(-3) + b  for  (-3,7)

7 = 2 + b

b = 5

The equation becomes y = -(2/3)x + 5

The y-intercept is 5.

See attachment.

The graph shows a proportional relationship. Which equation matches the
graph?

A. y = 1/7 x
B. y = 14x
c. y = 7x
D.y = x

Answers

Answer:

The answer is C.

Just trust me.

How do you write 750% as a fraction or mixed number

Answers

Answer:

750/100 or 7 1/2 whichever way u need

Step-by-step explanation:

It takes 2 ½ spoons of chocolate to make ⅗ gallon of chocolate milk. How many spoons of chocolate would it take to make 1 gallon of chocolate milk?

Answers

Answer:

5 spoons

Step-by-step explanation:

2 1/2 +2 1/2=5

so the answer would be: it takes 5 spoons to make a gallon of chocolate milk

what is 90 degrees plus 39 degrees plus 7x+16

Answers

it sounds like maybe 145+7x

The linear parent function, f(x) = x, was transformed to create a graph g(x) = f(x + 4).
Which statement about the graphs is true?
O The graph of fis steeper than the graph of g.
O The graph of fis shifted 4 units left to create the graph of g.
O The graph of fis less steep than the graph of g.
O The graph of fis shifted 4 units right to create the graph of g.

Answers

Answer:

2nd option

Step-by-step explanation:

Given f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

g(x) = f(x + 4)

Is the graph of f(x) shifted 4 units to the left

Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
A) 78
B) 68
C) 88
D) 98

Answers

C) 88

Explanation: trust me

Answer:

B.68

Step-by-step explanation:

divide using polynomial long division

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