Hei has $1,400 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,400. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary. HELP ASAP

Answers

Answer 1

Answer:

$7886.16

Step-by-step explanation:

If the balance increases by 4%, it will be 104% of the original amount.  104% as a decimal is 1.04.  Therefore, to calculate the balance with annual compound interest applied, multiply the balance of the account by 1.04 each year.

As Hei makes additional deposits of $1,400 for each year after the 1st year, add $1,400 to the account balance from year 2 onwards before adding the interest.

Let A = account balance

After 1 year

A = 1400 × 1.04 = $1456

After 2 years

A = (1456 + 1400) × 1.04 = $2970.24

After 3 years

A = (2970.24 + 1400) × 1.04 = $4545.05

After 4 years

A = (4545.05 + 1400) × 1.04 = $6182.85

After 5 years

A = (6182.85 + 1400) × 1.04 = $7886.16

Therefore, after 5 years her account balance will be $7886.16


Related Questions

I need help with this math problem! ​

Answers

Answer:

the value is 120 i think and 2 x-intercepts for the graph of f

Step-by-step explanation:

sorry if it's wrong

What does the fair and accurate credit transactions act provide for consumers? a. it entitles consumers to get one free credit report per year from the big three reporting agencies. b. it entitles consumers to notify credit reporting agencies if their identity is stolen. c. it entitles consumers to file a complaint with the federal trade commission if their identity is stolen. d. it entitles consumers to find out about who has access to personal information and if it is being handled securely.

Answers

Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

What is fair and accurate credit transactions act?

Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.

The objective of fair and accurate credit transactions act-

To improve the protection of customer.Ensure provisions in case of identity theft.Provide access to consumers to find out about who has access to personal information.

Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

Option d is the correct option.

Learn more about the fair and accurate credit transactions act here

https://brainly.com/question/6656307

Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.

Step-by-step explanation: quizlet

50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.


Geometric Recursive Formula

f(n) = f(n − 1) • r

Answers

Answer:

ask 23

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer:

f(n) = f(n − 1) • 2

Step-by-step explanation:

f(1) = 2

f(2) = 4

f(3) = 8

f(4) = 16

Geometric Recursive formula:  f(n) = f(n − 1) • r

where r is the common ratio

To determine r, divide one term by the previous term:

[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]

Therefore, f(n) = f(n − 1) • 2

HELLLO!HELLO HELP PLIS

Answers

Answer:

984m

Step-by-step explanation:

so all your doing is:

41 x 24 = 984m

Answer:

984

Step-by-step explanation:

It's so easy. Multiply 24 and 41 to get the area of the rectangle

What is the correct answer?

Answers

Answer:

2.38 yds^3

Step-by-step explanation:

Volume of a box = width x length x height

Now we multiply!!

? = 1 x 1.7 x 1.4

1 x 1.7 x 1.4 = 2.38

Have an amazing day!!

Please rate and mark brainliest!!

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 1.7 \times 1 \times 1.4}[/tex]

[tex] \mathsf \purple{v = 2.38 {yd}^{3} }[/tex]

2.38 cubic yards

GEOMETRY HELP MEEE D:!!!

Answers

Answer:

The answer for the x would be 20.25 ft.

Step-by-step explanation:

Check the underlined writing for the 2nd easier and more efficient method

The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.

Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.

If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9

Which means that they both have the same scale

Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.

2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.

Hope this helps!

Given that lines b and c are parallel, select all that apply.

Which pairs of angles are congruent?

3 and 7
2 and 8
3 and 5
1 and 4

Answers

Answer:

3 and 7

1 and 4

Step-by-step explanation:

[3 and 7]

These two angles are prooved congruent by corresponding angles

[1 and 4]

These two angles are prooved congruent by opposite vertical angles.

I need the green box with question mark I can’t get the second part

Answers

Answer:

-14

Step-by-step explanation:

-8 = 3/2 x 4 + ?

-8 = 6 + ?

-8 - 6 = -14

Your answer will be -14.

Have an amaizng day!!

Please rate and mark brainliest!!

Can someone help me with this wuestion please

Answers

i think that the answer is £279.30.

to find the area of the shape you multiply 4.6 by 2.4 which is 11.04.
then you need to work out how many boxes you need by dividing the area by 0.8 which gives you 14 boxes.
you then multiply that by the price per box which was £19.95.
This gave me an answer of £279.30.

Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?

Answers

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

[tex]A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36[/tex]

Amelia:

[tex]A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95[/tex]

Amelia-Melanie= $13,082.60

Please help! 1/2 (18 + 14) - (18 - 14)^2

Answers

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

A circular swimming pool has a radius of 20 feet. The family that owns the pool wants to put up a circular fence that is 5 feet away from the pool at all points. Which is closest to the circumference of the fence they will need?

Answers

Answer:

157.08 ft

Step-by-step explanation:

R = 20+5 = 25

Circumfrence = 2*pi*r = 2*pi*25 = 157.079 ft

Answer choices
A) eleven twenty sevenths
B) eighteen twenty sevenths
C) eleven thirds
D) eighteen thirds

Answers

The answer is D because is you add a one under the 9 you get 9/1 x 2/3 and you can just multiply straight away and get 18/3 but if you need to simplify more you get 6

Answer:

The answer is D) eighteen thirds.

Step-by-step explanation:

9/1 times 2/3

equals 18/3

18/3 is "eighteen thirds"

Is {(2,3), (4,5), (-2, -1), (0,1)} a function or not give a reason for your answer

Answers

Step-by-step explanation:

yes, it is a function.

the reason : every value of x (2, 4, -2, 0) has exactly one assigned value of y : 2 to 3, 4 to 5, -2 to -1, 0 to 1.

that is the definition of a function.

1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?

Answers

Answer:

The answer is 56 and that is no guess

The sum of 3 consecutive numbers is 240 what are the 3 numbers?

Answers

Answer:

79, 80, 81

Step-by-step explanation:

Creating an equation.

let a = first number , a + 1 = second number and a + 2 = third number

the sum of these three consecutive numbers is 240

this means that , a + ( a + 1 ) + ( a + 2 ) = 240

Solving for x using the equation created.

a + ( a + 1 ) + ( a + 2 ) = 240

==> remove parenthesis

a + a + 1 + a + 2 = 240

==> combine like terms

3a + 3 = 240

==> subtract 3 from both sides

3a = 237

==> divide both sides by 3

a = 79

Finding the 3 numbers

First number = a

a = 79 so first = 79

Second number = a + 1

a = 79 so second number = 79 + 1 = 80

Third number = a + 2

a = 79 so third number = 79 + 2 = 81

The three numbers are 79, 80 and 81

Answer:

79+80+81=240

Step-by-step explanation:

240/3=80

take 1 away from 80 and add 1 to 80

Find the area of the unshaded region.

multiple choice group answers

565

555

530

560

Answers

It’s 560 because 16 x 7 = 112 and 32 x 21 = 621 then 621 - 112 = 560

I will give brainiest find a linear inequality with the following solution set. each grid line represents one unit.
(give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1.)

Answers

Answer:

Step-by-step explanation:

Two angles are supplementary angles.
One angle measures 58°. The other angle
measures (3n + 5)º What is the value of n?

A.) 9

B.) 32

C.) 39

D.) 122

Answers

a is the answer because it makes sense and it's very logical

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?

Answers

Answer:

Length = 3.6

Width= 2.4

Step-by-step explanation:

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of

the rectangle?

So a rectangle has 2 longer sides and 2 shorter sides.

Knowing the length is 1.5 times the width

and perimeter of 12 centimeters.

The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.

1.5w+1.5w+w+w=12

5w=12

12/5=w

w=2.4

To figure the length just multiply 1.5*2.4=3.6

And That is how you solve it :)

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If you need any help, im at your service :)

or 50,000 registered voters, 400 were randomly surveyed. their voting preferences are listed the table below, predict how many of the registered voters would vote for mulroney.

Answers

Answer: 12,500

Step-by-step explanation:

     Since 25% voted for Mulroney, we will find 25% of 50,000.

     25% -> 0.25

     0.25 * 50,000 = 12,500

I predict that 12,500 registered voters would vote for Mulroney.

"The difference of six and twice a
number is five."

Answers

Let that number be x.
6-2x=5
2x=1
x=1/2

Answer:

x = 1/2

Step-by-step explanation:

twice a number = 2x

difference means subtract 2x - 6 = 5

2x - 6 = 5                     Add 6 to both sides.

2x + 6 - 6 = 5 + 6        Combine

2x = 11                          Divide by 2

2x/2 = 11/2                

x = 5.5

Is the answer different if it is done the other way around for the difference?

6 - 2x = 5                    Subtract 6 from both sides

-2x = 5-6                     Combine

-2x = - 1                       Divide by -2

-2x/-2 = -1/-2              

x = 1/2

Yes they are different. Following the way the question is written, I would choose the second method.

Gary wanted to determine the average height of boys at the high school. His older brother is on the basketball team, so he asked him to measure his teammates. After interpreting the results, Gary determined the average height of a high-school-aged boy to be 6 feet, 1 inch. HELP ASAPPPPP

Would you consider these results to be valid?

Yes, because only high-school boys were surveyed.

Yes, because the results were obtained randomly by measuring the boys basketball team.

No, because boys on the basketball team are likely to be taller than the average high school boy.

No, because there are no girls surveyed.

Answers

Answer:

The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

A survey of 100 people in New York City, NY found that.
• The probability that they take the subway each day is 0.85
• The probability that they take a Taxi each day is 0.6
• The probability that take the subway and taxi each day is 0.55

If a person is selected at random, then determine the probability thay they take either the subway or a taxi each day.

Answers

Answer: 0.9

Step-by-step explanation:

[tex]\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$[/tex]

[tex]\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}[/tex]


[tex] \binom{4a + 3}{5} - \binom{2a + 3}{3} [/tex]
simplify the fraction

Answers

I assume your question was to simplify the following fraction ;

[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]

Taking LCM will yield ;

[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]

[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]

This is the required answer

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answers

The function [tex]f(x) = 4\sqrt[3]{x}[/tex] is a cube root function

The function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

How to determine the end behavior?

The equation of the function is given as:

[tex]f(x) = 4\sqrt[3]{x}[/tex]

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

Read more about function end behavior at:

https://brainly.com/question/23968442

For what value of x does 3^4x=27^x-3?
0 -9
O-3
O 3
O 9

Answers

Answer:

the answer to the value of X is 0-3

A parallelogram with a right angle that is not a rectangle.

Answers

Answer:

One is a rhombus.

Step-by-step explanation:

Please a quick question

Enter an expression equivalent to a^5 in the form of a^x/a^y.

Answers

Answer:

a^7/a^2

Step-by-step explanation:

The exponents subtract. really easy 7-2=5

There are infinite possiblities to this.

SonicIsCoool, im at your service if you need more help :)

Thank you.

Answer:

[tex]\frac{a^{8} }{a^{3} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]

Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?

Answers

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

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The Article says Picture yourself on a beach. You stare out at the ocean. There's no land in sight. You don't have a map You don't have a compass. Would you sail into the unknown? If you said yes, you'd make a great voyageri You would fit right in with the earliest humans to travel to Australia. The author uses this passage mostly to help the reader A understand the courage early humans needed see how different the early humans were B think about the adventure of ocean travel D understand that ocean travel is much safer today What property of an object determines how much inertia it has. The increase in the number of states over the 1789-1999 era was mainly the result of A) national unification movements B) imperialism C) self-determination movements D) total warfare (07.02) Choose the polynomial that is written in standard form. (4x3 - 2x - 9) + (2x2 + 5x + 3). (1 point) 6X - 3x - 6 Ob 2x - 7X 12 oc 6x2 + 3x - 6 . 2x3 = 3x - 3 A shop increases all their prices by 9% A picture frame increases by 153 Find the new price of the picture frame. ___________ in the stomach are responsible for the mechanical digestion that takes place there. Which innovation changed the way people viewed movies in the 1900s i need help on this...i dont know how to do this and its due thursday!!!!! I hate these types of problems I was never taught this stuff How can i prove this property to be true for all values of n, using mathematical induction.ps: spam/wrong answers will be reported and blocked. The energy of the sun is converted into usable energy for the cell in the form of ___________________________ When assessing the risk/benefit relationship of a potential research study, the IRB must consider: Simplify the expression:3y + x - 2x + y + x + x+a. * -2x + 4y4X3b. x + 3y4C. 5x + y + 3yd. x + y + 3y+ Sita saves Rs. 1 today, Rs. 2 the next day, Rs. 4 the succeeding day and so on (each saving being twice of the preceding one). What will be total saving in two weeks time? a You randomly draw twice from this deck of cards0 G|F. D C GWhat is the probability of not drawing a C, then not drawing a C,without replacing the first card? Write your answer as a decimalrounded to the nearest hundredth. Why did mexico give up the territory called the mexican cession? * a. The insert, Delete, and Format options are present in thegroup on the Home tab. Counting the number of barnacles on a boat would be what type of data?. Read the caption. Explain the message of this political cartoon. You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer. Also remember to find the equations for the exponential function and the linear function. Substitute 30 in for x and simplify.