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:

a.0.311

Step-by-step explanation:

Answer:

m∠KML = 35°

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°

Answer:

u777766665655566667777777777777

76p is the equivalent expression of 53p + (16p + 7p)

An expression is combination of variables, numbers and operators.

The given expression is 53p + (16p + 7p)

Fifty three times of p plus sixteen p plus seven p.

In the given expression p is the variable and plus is the operator.

We need to find the equivalent expression.

Equivalent expressions are expressions that work the same even though they look different.

53p + (16p + 7p)

76p

Hence, 76p is the equivalent expression of 53p + (16p + 7p)

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Answer:

see the attachment

a) The highest common factor and the least common multiple are 12 and 48, respectively.

b) The highest common factor and the least common multiple are 12 and 72, respectively.

c) The highest common factor and the least common multiple are 8 and 160, respectively.

d) The highest common factor and the least common multiple are 12 and 48, respectively.

e) The highest common factor and the least common multiple are 14 and 840, respectively.

In this question we must determine the highest common factor and the least common multiple of two integers.

The highest common factor consists in the maximum product of common prime numbers, of the two numbers that divides it, and the least common multiple consists in the product of prime numbers, common and not, of the two numbers, that creates a product that it is greater or equal to the greater integer.

Now, we proceed to determine the numbers for each case:

First, we factorize each integer:

[tex]12 = 2^{2}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex]

Then the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{4}\times 3 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]

First, we factorize each integer:

[tex]24 = 2^{3}\times 3[/tex], [tex]36 = 2^{2}\times 3^{2}[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{3}\times 3^{2} = 72[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 72, respectively. [tex]\blacksquare[/tex]

First, we factorize each integer:

[tex]32 = 2^{5}[/tex], [tex]40 = 2^{3}\times 5[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{5}\times 5 = 160[/tex], [tex]HCF = 2^{3} = 8[/tex]

The highest common factor and the least common multiple are 8 and 160, respectively. [tex]\blacksquare[/tex]

First, we factorize each integer:

[tex]24 = 2^{3}\times 3[/tex], [tex]48 = 2^{4}\times 3[/tex], [tex]60 = 2^{2}\times 3 \times 5[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{4}\times 3 \times 5 = 48[/tex], [tex]HCF = 2^{2}\times 3 = 12[/tex]

The highest common factor and the least common multiple are 12 and 48, respectively. [tex]\blacksquare[/tex]

First, we factorize each integer:

[tex]42 = 2\times 3 \times 7[/tex], [tex]56 = 2^{3}\times 7[/tex], [tex]70 = 2\times 5\times 7[/tex]

Then, the highest common factor and the least common multiple are, respectively:

[tex]LCM = 2^{3} \times 3 \times 5 \times 7 = 840[/tex], [tex]HCF = 2\times 7 = 14[/tex]

The highest common factor and the least common multiple are 14 and 840, respectively. [tex]\blacksquare[/tex]

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Answer:

229.6 square units

Step-by-step explanation:

19.9×16.8=334.32

19.9-4-4=11.9

16.8-4-4= 8.8

11.9×8.8= 104.72

334.32-104.72= 229.6 sq units

Answer:

Step-by-step explanation:

I'm ASSUMING you want to find n where g(n) = 8

g(n) = a/n

g(4) = 9 = a/4

          a = 36

g(n) = 8 = 36/n

         n = 36/8 = 4.5

Answer:

-2

Step-by-step explanation:

the input, or domain is always replacing x

y=-2x+6

y=-2(4)+6

y=-8+6

y=-2

The 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.

Recall:

Thus, the given Box-and-Whisker Plot as shown in the diagram below shows that the first quartile is 22 pounds.

Therefore, the 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.

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Answer: A...

Step-by-step explanation:I trust the guy above me....

Answer:

The length of side j is 11.85cm

Step-by-step explanation:

Given that

In triangle JKL,

Side k=LJ=3.7cm

To find side j=KL:

By using sine rule,

We can write as

Using property of triangle,

Thus,

The length of side j is 11.85cm

Answer:

I think it's B.

Step-by-step explanation:

Answer:

The answer is 0.75

Step-by-step explanation:

The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

Another method without a calculator is:

Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s.

Step 2: Multiply both top and bottom by that number.

Step 3. Then write down just the top number, putting the decimal point in the correct spot (one space from the right hand side for every zero in the bottom number)

Example:

Convert 3/4 to a Decimal:

Step 1: We can multiply 4 by 25 to become 100

Step 2: Multiply top and bottom by 25. It gives us 75/100.

Step 3: Write down 75 with the decimal point 2 spaces from the right (because 100 has 2 zeros);

Answer = 0.75

Answer:

3x 3-x and 3+x

Answer:

Step-by-step explanation:

Let "n" be the second odd number in the sequence

(n - 2) + n + (n + 2) + (n + 4) + (n + 6) = 135

                                              5n + 10 = 135

                                                      5n = 125

                                                        n = 25

23 + 25 + 27 + 29 + 31 = 135

Based on the information, the best research question that Juan should choose will be "How does playing a team sport affect a child's development?"

A research question simply means a question that a researcher wants to answer. It should be noted that choosing a research question is an important element in research.

From the complete question, it should be noted that since Juan is writing a paper about children who play team sports, and he has different research questions, he should choose the one that conveys the research appropriately.

In this case, the best option will be  "How does playing a team sport affect a child's development?"

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Answer:

y=10x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=10(x-0)

y-4=10(x)

y-4=10x

y=10x+4

Answer:  The picture

Step-by-step explanation: if you mean graph that means graph the coordantes.

22/3 sorry I accidentally deleted steps

[tex]x^2+8x-48\\\\=x^2 + 12x -4x -48\\\\=x(x+12) -4(x+12)\\\\=(x-4)(x+12)[/tex]

Answer:

39.0625

Step-by-step explanation:

15.625 times 2.5= 39.0625

You're just multiplying each value by 2.5

1 times 2.5= 2.5

2.5 times 2.5= 6.25

6.25 times 2.5= 15.625

and then 15.625 times 2.5= 39.0625

Answer:

Option C

The answer is 6 ÷ 7

Step-by-step explanation:

6/7 which means 6 divided by 7 i.e., 6 ÷ 7

Thus, The answer is 6 ÷ 7

-TheUnknownScientist 72

ANSWER: y = 3x + 3

Ok done. Thank to me :>

Answer:

Yes.

Step-by-step explanation:

I had a problem just like this and you are correct.

Answer: 9

Step-by-step explanation:

3/4mile takes 1/12 hours

so a whole hour is 3/4 / 1/12 = 3/4*12 = 9miles/hour

Answer:

3/2 miles per hour

Step-by-step explanation:

To find his average speed, divide 3/4 mile by 1/2 hour:

 3        2

----- *  ------ = 3/2 miles per hour

 4         1

Answer:

a-2=a-2

Step-by-step explanation:

Here it is, you just have to notice that the numerator has common factors alternated. You will then collect the same parentheses and simplify with the denominator.

Answer:

Step-by-step explanation:

Parentheses are missing in your problem statement if you intend to simplify ...

  [tex]\dfrac{3a^2-ac+2c-6a}{3a-c}\\\\=\dfrac{a(3a-c) -2(3a-c)}{3a-c}\qquad\text{factor pairs of terms}\\\\=\dfrac{(a-2)(3a-c)}{(3a-c)}\\\\=\boxed{a-2}\qquad\text{cancel common factors}[/tex]

The "steps" are ...

Answer:

  length: 62 ft

  width: 31 ft

Step-by-step explanation:

Let w represent the width. Then the length is 2w and the perimeter is ...

  P = 2(L+W)

  186 = 2(2w +w)

  31 = w . . . . . . . . . divide by 6

  2w = 2(31) = 62

The length of the shed is 62 feet; its width is 31 feet.

Answer:

Two minutes for what???

3.2 mile per hour

8/ 3.2