Suppose you want to have $600,000 for retirement in 20 years. Your account earns 9% interest. How much would you need to deposit in the account each month?

Answers

Answer 1
$2,275 a month

Multiply $600,000 by 9 percent to get how much money altogether you got in interest

Change the 9 percent to the decimal 0.09

And get $54,000

Subtract 600,000 by 54,000
To get how much you put in

You get 546,000

You divide 546,000 by 20
To get how much money each year

You get 27,300

You then divide 27,300 by 12
To get how much monthly

You get 2,275


Related Questions

Please help me, you can see the parabola down below. Please.

Determine the equation of the parabola in Vertex Form. Work must be shown.

Answers

Answer:

let me check....

Step-by-step explanation:

write the equation of the line that is parallel to y=4x+12 through the point (2,3).​

Answers

Answer:

y = 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 12 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

To find c substitute (2, 3 ) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 4x - 5 ← equation of parallel line

A drawing of a man is 4 inches high. The actual man is 64
inches tall. What is the scale factor for the drawing?

Answers

Answer:

Step-by-step explanation:

The scale factor is the ratio between the man's actual height and the height of the drawing.

Scale = 64/4 = 16

Answer:

1/16

Step-by-step explanation:

the actual man is 16 times bigger than drawing.

Express the shaded portion of each box using fractions. Which box has a higher fraction
of its boxes shaded?

Answers

Answer:

A

Step-by-step explanation:

A has 11 boxes shaded in, whereas B only has 10. so A has more

Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.

Answers

(2,5) and (4,13)

y - y1 = y2 - y1

x - x1    x2 - x1

 

y - 5  = 13 - 5 = 8/2 = 4 x - 2     4 - 2

y - 5 = 4x - 8

y = 4x - 3

m = 4, c = -3

A hot air balloon went from an elevation of 4,060 feet to an elevation of 3,120 feet in 40 minutes. What was its rate of descent?

Answers

Answer:

23.5 feet per minute is the rate

two expressions that are equivalent to 5.75 ÷ 1.15.

Answers

Answer:

i think the answe is A and B hope this helps

Step-by-step explanation:

Have a nice day!

Answer:

5.75 / 1.15 = 5

5 is an answer.

10/2 is also an answer.

25/5 is also also an answer.

100/20 is also also also an answer.

1/3 + 1/2 + 4/5 jdnjfnawbfaibgfiabfwhbruwbrfywhfywg8eyfhwa8uofhawufhaw

Answers

Answer: 49/30 or, 1 19/30

a 16 ounce package of hamburger meat has 3% fat how much of the total package is fat

Answers

Multiply the total weight by the percentage

16 ounces x 0.03 = 0.48

0.48 ounces is fat

how do you find the ratio of something

Answers

Answer:

To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3. Step 1 is to work out the total number of parts in the ratio. 1 + 3 = 4, so the ratio 1:3 contains 4 parts in total.

Step-by-step explanation:

Step-by-step explanation:

hope it will help you a lot.......

answer the following question

Answers

Answer:
2
Step-by-step explanation:
You get 8/4 and simplify down to 2

What forms of the following equation in?

y=5x−3

Answers

5x-y=3
Not sure if it’s correct
the equation appears to in slope-intercept form

for future reference, slope-intercept form is written as: y=mx+b
m=slope and b=y-intercept

The half life of a radioactive substance is 10 years. If 64 grams are placed in a
container, how much will remain after 50 years?

Answers

Answer:

2 grams

Step-by-step explanation:

50 years is 5 half lives as 1 half life is 10 years.

64 divide 2 = 32-1 half life

32 divide 2 =16-2nd half life

16 divide 2 = 8-3rd half life

8 divide 2 = 4-4th half life

4 divide 2 = 2-5th half life

This means we will have 2 grams left of the radioactive substance after 50 years.

1943 divided by 67.Show steps please. ​

Answers

Answer: Long Division Calculator with Decimals

look this up see if it helps

Step-by-step explanation:

Answer: 29

Solution:

0029
67| 1943
-0
19 (bring down the 9)
-0
194 (bring down the 4)
− 134
603 (bring down the 3)
603
0

A Freight Train Travels 144 miles in 6 hours.How Far will it travel in 15 hours



Please help me out kindda hard

Answers

Hello there, there are multiple ways of solving this problem, let me show you.

[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]

A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?

_________________

For this problem I will show you 2 methods.

[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]

Cross multiplication, cross multiplication involves algebra to use.

Let x be our answer for this problem. Here is our it would look like

[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.

[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.

_________________

[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]

For method two we can look for the unit rate. Also known as our rate for one.

divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.

_________________

[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]

360 miles in 15 hours.

Have a good day :) !
360 mph . 144 divided by 6 equal 24 mph , so 24 times 15 will equal 360 .

please help with question 3

Answers

Answer:

p = - [tex]\frac{2}{3}[/tex] , p = 2

Step-by-step explanation:

Using the discriminant to solve for p

Δ = b² - 4ac

The condition on the discriminant for 2 eeal and equal roots is

b² - 4ac = 0

Given

p²x² - (p + 2)x + 1 = 0

with a = p² , b = - (p + 2) , c = 1 , then

(- (p + 2) )² - 4p² = 0

(p + 2)² - 4p² = 0

p² + 4p + 4 - 4p² = 0

- 3p² + 4p + 4 = 0 ( multiply through by - 1 )

3p² - 4p - 4 = 0 ← in standard form

(3p + 2)(p - 2) = 0 ← in factored form

Equate each factor to zero and solve for p

3p + 2 = 0 ⇒ 3p = - 2 ⇒ p = - [tex]\frac{2}{3}[/tex]

p - 2 = 0 ⇒ p = 2

Someone please help me on both the questions!!!

Answers

Step-by-step explanation:

al nth term:

numerator:

[tex] = {n}^{2} [/tex]

denominator:

[tex] = n + 1[/tex]

so nth term :

[tex] = \frac{ {n}^{2} }{n + 1} [/tex]

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

[tex] {an}^{2} + bn + c[/tex]

[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]

[tex]3(1) + 1 + c = 1[/tex]

[tex]3 + 1 + c = 1[/tex]

[tex]4 + c = 1[/tex]

[tex]c = - 3[/tex]

So Tn:

[tex]3 {n }^{2} + 1n - 3[/tex]

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

What is the volume of 4 19 31 10 62

Answers

Answer: 1460720

To find volume just multiply them all-

4*19*31*10*62

1460720 ( i am not sure if those are the numbers you meant)

Please help me with this question :)
I will mark you as brainliest

Answers

[tex]\text{Given that,}\\\\s_1 = 5.95,\\\\s_2 = 5.42\\\\\\F= \dfrac{(s_1)^2}{(s_2)^2} = \dfrac{(5.95)^2}{(5.42)^2} = 1.21[/tex]

if f(x)= 3x+1 and g(x)= x^2-6 FIND (f+g)(x)

Answers

Answer:

-x² + 3x + 7

Step-by-step explanation:

• f(x) = 3x + 1

• g(x) = x² - 6

Then,

According to th' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

what is 4(2x+3) simplified using distributive property

Answers

Answer:

  8x +12

Step-by-step explanation:

The outside factor is applied to each term inside parentheses:

  4(2x +3) = 4(2x) +4(3) = 8x +12

[tex]\huge\boxed{Hi\:there!}[/tex]

To simplify this expression, we should use the Distributive Property.

It states that

a(b+c)=ab+ac

Let's use it:

4(2x+3)

8x+12

That's the answer.

[tex]\huge\boxed{\boxed{\boxed{Hope\:it\:helps!}}}[/tex]

[tex]\huge\bold{Good\:luck!}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

Consider the following sequence and type the next number in the sequence.
55, 48, 41,34

Answers

Answer:

27 20 13

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

It follows a pattern of -7 every time.

55,(-7) 48,(-7) 41, (-7)34

55-7=48

48-7=41

41-7=34

34-7=27

Hope this helps! Have a great day!

Ethan and Alex ordered 1,263 pizzas for the school. They wanted to share them equally with each class.If there are 34 classes, how many pizzas will each class get?​

Answers

each class will get about 37 pizzas

Factor the expression using the GCF. (algebraic expressions, just dont subtract 18-12=6 its incorrect. please answer asap!!!! )


18 - 12 = ?

Answers

Factoring the GCF would make the answer 6… Double check with your teacher because it’s literally 6

PLEASE CAN SOMEONE HELP ME​

Answers

Answer:

u=ABCDEF

Step-by-step explanation:

A square is cut diagonally into two equal parts. If each part has an area of 50cm^2, then what is the perimeter of each part?

50 points the answer isnt 30 so dont say it is because it isnt

Answers

Answer:

its 25.

Step-by-step explanation:because 50 divided by 2 is 25.

Answer:

40 units

Step-by-step explanation:

1) Find the side length of the square

Let the side be "s".

[tex]\rightarrow \frac{1}{2} \times s \times s = 50 \ \text{cm}^{2}[/tex]

[tex]\rightarrow s \times s = 50 \times 2[/tex]

[tex]\rightarrow s \times s = 100[/tex]

[tex]\rightarrow \sqrt{s \times s} = \sqrt{100}[/tex]

[tex]\rightarrow s = \±10[/tex]

[tex]\rightarrow s = 10 \ \text{units}[/tex]                                      (Side lengths can never be negative)

2) Find the perimeter of the square

[tex]\text{Perimeter of square = 4(s) = 4(10) = 40 units}[/tex]

Simplify. √25a^2.
40 points but reported if troll.

Answers

I think that the answer is 5a.
The square root of 25 is 5 and the square root of a^2 is a.
Hope this helps and if possible could I please have the brainliest answer?

PLEASE HELP! WILL MARK BRAINLIEST!!!

Answers

AnswerAnswers in explaination

Step-by-step explanation

PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.

PART B answer: The two equations I solved for above

Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two

determine whether Δ def to Δ HIG is a reflection, translation, rotation, or glide reflection

what are the reflection line, translation rule. center and angle or rotation or glide translation rule and reflection line?


A. Rotation, 180°, about ( -0.5, 0)

B. glide reflection, translate 8 units to the right then reflect across the line y=4

C. Reflection, x=5

D. Rotation, 180, about (1,4)


20 Points

Answers

The answer is A. Rotation , 180 about (-0.5,0)

I need help with this

Answers

Answer:

some points that I found!

(0,-2), (-3,0), (-6, 2), keep it going from there, and then shade above the line

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