To save for retirement, you decide to deposit $1,000 into an IRA at the end of each year for the next 30 years. If this savings annuity has an interest rate of 10% per year compounded annually, then how much interest will you earn over the course of the 30 years?

Answers

Answer 1

Answer:

134494

Step-by-step explanation:

Answer 2

Answer: 134,494

Step-by-step explanation: d=$1,000, the yearly deposit.

r=0.10, or a 10% annual rate.

k=1, since we’re doing yearly deposits and we’ll compound yearly.

N=30, we want the amount after 30 years.

Putting this into the annuity formula:

PN=d⋅((1+rk)N⋅k−1)rkP30=1,000⋅((1+0.101)30⋅1−1)(0.101)P30=1,000⋅((1.1)30−1)(0.10)P30=1,000⋅(17.4494−1)(0.10)P30=1,000⋅(16.4494)(0.10)=$164,494.

The account will grow to $164,494 after 30 years.

Notice that you deposited into the account a total of $30,000 ($1,000 a year for 30 years). The difference between what you end up with and how much you put in is the interest earned. In this case it is $164,494–$30,000=$134,494.


Related Questions

Answer the following question.

Answers

Answer:

6

Step-by-step explanation:

Step 1: equal any two of the three equations together

2x + 3 = 3x - 9

Step 2: isolate the variable

3 = x - 9

6 = x

X= 5

-3x/5+1/5= 2/5
X^2 +2x-8=0

X/5= 5

How is the graph of the parent function, y=xx transformed to produce the graph of y= 1-2x?​

Answers

the answer is D

It is horizontally compressed by a factor of 2 and reflected over the y-axis

Jim will be x years old in two years. At that time, his sister will be twice as old as he will be. How old is Jim's sister now?
Pleaseee help.

Answers

Answer:

Jim's sister age now is ( 2x - 2) years.

Step-by-step explanation:

Given

Jim will be x years old in two years

At that time, his sister will be twice as old as he will be

Thus, the age of sister in two years = 2*Jim's age in 2 years

the age of sister in two years = 2*x years = 2x years

Jim's sister age now will be 2 years lesser than the age found above which is her age after two year

Jim's sister age now = age of sister in two years - 2 years

Jim's sister age now =  2x years - 2 years

Jim's sister age now = ( 2x - 2) years

What is the product of Three-fourths and Negative StartFraction 6 over 7 EndFraction? Negative StartFraction 7 over 8 EndFraction Negative StartFraction 9 over 14 EndFraction StartFraction 9 over 14 EndFraction StartFraction 7 over 8 EndFraction

Answers

Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps!!!!

Answer:

the answer is b

Step-by-step explanation:

Which angle pairs in the diagram are supplementary
angles? Check all that apply.
Angle 3 and angle 6
Angle 1 and angle 4
Angle 5 and angle 6
Angle 4 and angle 5
angle 6 and angle 7

Answers

Answer:

<4&<3

<4&<5

<3&<6

Step-by-step explanation:

Answer:

B D E

Step-by-step explanation:

On edg 2021

Mark for Review
2 A plece of paper was dropped from the top of a tall building. The height of the plece of paper above the
ground can be found using the function y = -2.5x + 30, where x is the time in seconds the plece of paper
has been in the air.
11
20
15
10
5
17 18 2017 2016
-10
-15
-30
How many seconds did It take the plece of paper to reach the ground?
Record your answer and fill in the bubbles on your answer document.

Answers

Answer:

12 seconds

Step-by-step explanation:

Given

[tex]y = -2.5x + 30[/tex]

Required

Determine the time taken to reach the ground

For the paper to reach the ground, y = 0

So, we have:

[tex]y = -2.5x + 30[/tex]

[tex]0 = -2.5x + 30[/tex]

Collect Like Terms

[tex]2.5x +0 = 30[/tex]

[tex]2.5x = 30[/tex]

Divide through by 2.5

[tex]2.5x/2.5 = 30/2.5[/tex]

[tex]x = 30/2.5[/tex]

[tex]x = 12[/tex]

Hence:

Time taken is 12 seconds

at davidson’s bike rentals, it cost $15 dollars to rent a bike for 4 hours. how many hours does a customer get per dollar?

Answers

Answer:

$3.75

Step-by-step explanation:

4 divided by 15= 3.75

Answer:

3.75

Step-by  step explanation:

15 divided by 4

|x|=3
I don’t know how to do this

Answers

Answer:

x = -3, x = 3

Step-by-step explanation:

The answer of an abosulte value is always positive. So, when you put a positive number in an absolute value, you will get a positive value (in this case 3). Also, you have to put the negative number in an absolute value (in this case -3).

Hope this helps!

981 rounded to nearest 100

Answers

Answer: 1000

Step-by-step explanation:

     9         8       1

Hundred tens one

The question is asking for to round to the nearest hundred (100) which means is rounding to [9] in this question.

The number of the place before the hundreds place is [8] on the tens place.

When numbers are greater than or equal to 5, you round up a digit.When numbers are less than 5, you round down a digit.

[8] is greater than 5, so you round 9 up. When rounding 9 up, you get 10.

So, the final number will be 1000

Passing through (-7, -3) and parallel to the line whose equation is y = - 4x + 1

write in point slope form

Answers

Answer:

The answer is

y = - 4x - 31

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 4x + 1

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point

(-7, -3) is

[tex]y + 3 = - 4(x + 7) \\ y + 3 = - 4x - 28 \\ y = - 4x - 28 - 3[/tex]

We have the final answer as

y = - 4x - 31

Hope this helps you

Select all the pairs of operations that have inverse relationships.


Addition and subtraction


Addition and multiplication


Subtraction and division


Multiplication and division


Division and addition

Answers

Answer:

The first one and the fourth one

Step-by-step explanation:

Here's a screenshot of the answer below:

(It might be chopped off a little at the end, but the answer is only A and D)

Rewrite as a simplified fraction

Answers

You can do 1 5/10 or 1 5.5/10 it depends on the teacher you have if she’s picky or not.

Please help! Please show all work! Thx!

Answers

Answer:

Part A)

[tex]86=2(x+22)[/tex]

Part B)

[tex]l=26\text{ cm}[/tex]

Step-by-step explanation:

We know that the rectangle has a length of (x+5) and a width of 12 cm.

Part A)

Remember the formula for the perimeter of a rectangle:

[tex]P=2(l+w)[/tex]

We know that the perimeter is 86. Substitute that for P:

[tex]86=2(l+w)[/tex]

Substitute (x+5) for the length l and 17 for w. So:

[tex]86=2((x+5)+17)[/tex]

We can simplify this to acquire our equation:

[tex]86=2(x+22)[/tex]

Part B)

To find the length, let's find our x first. We have the equation:

[tex]86=2(x+22)[/tex]

Divide both sides by 2:

[tex]43=x+22[/tex]

Now, subtract 22 from both sides. Therefore, our x is:

[tex]x=21[/tex]

To find the length, remember that the length is:

[tex]l=x+5[/tex]

Since we now know the value of x, substitute 21 for x:

[tex]l=21+5[/tex]

Add:

[tex]l=26\text{ cm}[/tex]

So, the length is 26 centimeters.

And we're done!

Jessica is asked to solve this problem on her math quiz −29+14=? She remembered that she needed to watch for the signs on the numbers, but she is still confused on how the rules work for addition of integers. In complete sentences, explain to Jessica what rule she would use to solve this problem and how she can tell what the sign on her final answer should be in order to get the question correct on her quiz.

Answers

Answer:

Step-by-step explanation:

-29 +14 =-15

The biggest number "29" has minus "-" in front, so in the final the sigh will be minus. The final sigh on the answer dibents on the biggest number.

If you have this exercise :

-14 +29 =15

The biggest number has "+" in front of it

Answer this for me please

Answers

Answer:

X = 9/2 or X = 3

Step-by-step explanation:

5x + 2 = 7x -7

5x - 7x = - 2 - 7

2x = -9

2 2

X = - 9/2

or X = 3 (lowest term)

mr pettaway made his basketball team sprint 145 yard.how many feet did the team have to spirit

Answers

Answer: 435 feet

Step-by-step explanation:

There are 3 feet in 1 yard.

you take the number 145 and multiply it by 3.

A man is 26 years older than his son. After 10 years he will be 3 times as old as his son. Find their present ages.
The answer is: man=29 and son 3
I just need the steps

Answers

Answer:

son = 3 years

man = 29 years

Step-by-step explanation:

Hi there !

m = man

s = son

m = s + 26

m + 10 = 3(s + 10)

replace m

(s + 26) + 10 = 3s + 30

26 + 10 - 30 = 3s - s

2s = 6

s = 3 years (son)

m = 3 + 26 = 29 years (man)

Good luck !

Consider the figure below.


Which two lines are parallel? How do you know?

A. r1 and r2 are parallel because corresponding angels are congruent.

B. l1 and l2 are parallel because corresponding angles are congruent

C. r1 and l2 are parallel because alternate exterior angels are congruent.

D. l1 and r2 are parallel because corresponding angels are congruent.

Answers

I’m sorry I’m not sure but I believe it would be either A or B because C and D the lines intersect, therefore C and D cannot possibly be perpendicular lines

|x-4|=2 solve the absolute value equation ​

Answers

Answer:

x=6 or x=2

Step-by-step explanation:

A physical education class is running a mile. The teacher has set a goal of 12 minutes to complete the mile. Students receive a score to show how close they are to the target of 12 minutes. For example, if students run the mile in 8 minutes, their scores will be -4. Complete the statements about the students’ scores.

Answers

Answer:

10, 1, 0 in that order hope this helps can i have branliest plz

Step-by-step explanation:

I took it and I got it right on edg

Answer:

give that guy brainliest plz

Step-by-step explanation:

A science class conducts an experiment using a falling object. The class determines that a quadratic regression equation y = –15.9x2 + 99.2 will model the height, in feet, of the object after x seconds. Based on this model, what is the approximate height of the object after 1.5 seconds?

Answers

Answer:

67.4 + 1.5 = 68.9

Step-by-step explanation:

Answer: 63.4

Step-by-step explanation: calculator

When multiplying or dividing a negitive and postive, your result will be​

Answers

Your result will be Negative

complementary and supplementary

Answers

Answer:

complementary is 90 degrees

Step-by-step explanation:

supplementary is 180 degrees

I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Geez that is real complicated sorry I’m not sure just go with your gut

what is 28 times 4 over 7
]

Answers

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex]28*4/7[/tex]

[tex]28*4=112[/tex]

[tex]112/7=16[/tex]

Factor completely 36x^4y^4z^4 – 20x^8y
Please factor this for me

Answers

Answer:

  4x^4y(9y^3z^4 -5x^4)

Step-by-step explanation:

The two terms have a common factor of 4x^4y, so we can rewrite the expression as ...

  = 4x^4y(9y^3z^4 -5x^4)

Help, stuck on this math problem!

Answers

Answer: $498.08

Please Mark me as Brainliest

A manufacturing company with 450 employees begins a new product line and must add 81 more employees. What is the percent increase in the number of employees?

Answers

Answer:

There is an 18% increase in the number of employees.

12 -4x = -8x wat i s te answer to tis

Answers

Answer:

-3 =x

Step-by-step explanation:

12 -4x = -8x

Add 4x to each side

12 -4x+4x = -8x+4x

12 = -4x

Divide each side by -4

12/-4 = -4x/-4

-3 =x

What is 11 times ___ equals 143?

Answers

Answer: The Answer would be 13.

Step-by-step explanation:

Howdy! My name is Christian and I’ll try and help you with this question!

Date: 9/29/20 Time:  8:32 am CST

Answer:

13

Explanation:

We can solve this by reversing it.

143 / 11 = 13

Now, we check it.

13 x 11 = 143

Hope this helps you with your question!

Sincerely,

Christian

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