You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.

a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)

b) How much will you need to deposit each month until retirement to achieve your retirement goals?


c) How much did you deposit into you retirement account?


d) How much did you receive in payments during retirement?


e) How much of the money you received was interest?

Answer:

1.5 miles / hour

Step-by-step explanation:

The question is most easily done by converting to decimals

3/4 = 0.75 miles

1/2 = 0.5 hours

Formula

r = d/t

Solution

r = 0.75 miles / 0.5 hours

r = 1.5 miles per hour

Discount=$ 4

Discount percent :21.06%

solution given:

Marked price: $18.99

selling price: $14.99

Now

discount : Marked price - selling price

:$18.99- $14.99

:$4

Now

discount percent:[tex] \frac {discount}{marked \:price} *100\percent [/tex]

=[tex]\frac {4}{18.99}*100 [/tex]%

=21.06%

Step-by-step explanation:

Hope it will help you a lot.

Answer:

in8− in4+ in2

Step-by-step explanation:

thats the aswer

Answer:

It is 7 2/11 is less then 7 4/10

Step-by-step explanation:

You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]

Answer: B

The distance between Jays hair and the caffe shop is 2.5 km.

Since the mall is located 2.4 kilometers north of jays house and the caffe shop is located 0.7 kilometers east of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.

So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.

Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.

So, L = √[(2.4 km)² + (0.7 km)²]

L = √[(5.76 km² + 0.49 km²]

L = √(6.25 km²)

L = 2.5 km

So, the distance between Jays hair and the caffe shop is 2.5 km.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/8171420

Answer:

I'm not sure about this, sorry!

Step-by-step explanation:

[tex]648 \div 36 = 18[/tex]

18 gallons of water flowed into the tank each minute.

Answer: the answer is 18 gallons

Step-by-step explanation: all you have to do is divide 648 by 36 and you should recieve an answer of 18

Answer:

A

Step-by-step explanation:

288 cups did this before

Answer:

yes you are correct

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

56.2 m

Step-by-step explanation:

We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,

[tex]\dfrac{dy}{dt} = 0[/tex]

then solve for the time t that satisfies the equation above. The expression for the height y is

[tex]y = 60t - 16t^2[/tex]

Taking the derivative of this expression, we get

[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]

This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get

[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]

Answer:

yes yes no no

Step-by-step explanation:

use the Pythagorean theorem. sub a^2+b^2=c^2.

c is the largest number, and you can plug the 2 other values into a and b.

Using it's concept, the sample space for the experiment is:

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}

The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.

You can learn more about sample space at https://brainly.com/question/25861936

Answer:

r>=12

Step-by-step explanation:

Answer:

22u + 56

Step-by-step explanation:

-8(-10u + 6u - 7) - 10u

1.) Combine like terms

-8(-10u + 6u - 7) - 10u

-8(-4u - 7) - 10u

2.) Distribute

-8(-4u - 7) - 10u

-8(-4u) -8(-7) - 10u

32u + 56 - 10u

3.) Combine like terms

32u + 56 - 10u

22u + 56

Therefore, the simplified equation is 22u + 56.

Answer:

22u+56

Step-by-step explanation:

1. simplify each term:

32u+56−10u

2. Subtract 10u from 32u.

22u+56

Hope this helps :)

Answer:

  -60°

Step-by-step explanation:

Your calculator and/or your knowledge of trig function values can find this for you.

The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.

  arcsin(-√3/2) = -60° = -π/3 radians

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

Answer:

-11/14.

Step-by-step explanation:

Slope =(y2-y1)/ (x2 - x1)

Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.

So slope

= (7 - (-4)/ -7-7)

= -11/14.

Answer:

Step-by-step explanation:

100 %/ 20 % = 5 servings

100 %/ 30 % = 3⅓ servings

He must consume 5 servings to get 100% of Vitamin A

In those servings he will consume 150% of Vitamin C

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

Answer: 6h-36k+42

Step-by-step explanation:

6(h - 6k+7)

First, start by doing 6 times h

Then, 6 times -6k

Lastly, 6 times 7.

6h-36k+42 is your answer.

Answer:

rational number

Step-by-step explanation:

Natural numbers:

This is every number in the sequence 1, 2, 3, 4...

Whole numbers:

This is all of the above, but it also includes 0.

Integers:

All of the above, but this also includes negative numbers.

Rational numbers:

A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:

[tex]1.125, \frac{1}{3}, -5\frac{2}{7}[/tex]

Irrational numbers:

Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.

[tex]\pi, \sqrt{3}[/tex]

=========================

You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:

[tex]8.4444=\frac{21111}{2500}[/tex]

In the case that it was a repeating decimal, those are also rational numbers. Take this for example:

[tex]0.3333333...[/tex]

This is rational:

[tex]\frac{1}{3}=0.333333...[/tex]

Step-by-step explanation:

3.141592653............

Answer:

H=2  r=1

Step-by-step explanation:

P= 2h+4r + πr = π+8

h= π+8- πr -4r/2

(pls give brainliest if helps!)

Answer:

32

Step-by-step explanation:

[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]

ANSWER : true

ok done. Thank to me :>

Answer:

True

Step-by-step explanation:

[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

Answer:

6x - 20 = 4x + 50

2x = 70

x = 35