Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.

Answers

Answer 1

The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Learn more about compounded interest here:

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there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?​

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13 in12

Step-by-step explanation:

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What is the reciprocal of A if A doesn't equal 0?

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1/a

Step-by-step explanation:

my Christmas present to you​

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Awww... if you need help, tell me :>

What is the solution to the equation 5x=6?

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Answer:

6 / 5 ( or ) 1.2

Step-by-step explanation:

5x = 6

x = 6 / 5

( or )

x = 1.2

Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...

Step-by-step explanation:

Which expression is equal to 6 x (3 + 8)?
OA (6 + 3) < (6 + 8)
OB. (6 x 3) + (6 x 8)
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63) (6 x 8)
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D. (6 + 3) + (6 + 8)
+

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[tex]6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)[/tex]

Answer:

(6×3)+(6×8)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Solve the equation for x: 2^3 square root 3x+2 = ^3 square root 4x-9
A) x=-5/4
B) x= -13/2
C) x=25/28
D) x=-7/20

Answers

The value of x = -5/2

To solve this question we must understand the concept of indices.

What are Indices?

Indices in mathematics show the power to which an expression or variable is raised.

Here, the correct format of the equation given in the question as follows:

[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]

[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]

Multiply the power of both sides by 3

(6x + 4) =(4x -9)

6x - 4x = -9 + 4      

2x = -5

x = -5/2

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I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

GEOMETRY QUESTION NEED HELP ASAP 20 POINTS ​

Answers

Answer:

24 units

Step-by-step explanation:

I dont know if im right but hope this helps!

Help

Activity:
2x²2+2x-312=0​

Answers

Answer:

Step-by-step explanation:

can someone answer this ​

Answers

Answer: The equation is not an identity

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

Explanation:

We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.

I'll use  c = a+b as a way to help distribute.

[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]

Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.

----------------

Here's another way you can see that we don't have an identity.

Let's say we fixed 'a' to be equal to 1.

That means the equation

[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]

would turn into

[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]

and simplify to

[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]

Now replace b with x and you'll have the two equations to represent the left and right hand sides

[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]

which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.

Side note: you can pick other values for 'a' instead of just 1.

A line has a slope of 6 and passes through the point (2, 7) . What is its equation in slope "y-intercept" form?

Answers

Answer:

C

ON THE EDGE

Step-by-step explanation:

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Answers

I think it is False, False, True, True (starting from the top statement)

the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation

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Answer:

x=13

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Step-by-step explanation:

Solve for x if log(2x-7) = 0

Answers

Answer:

x=4

Step-by-step explanation:

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A _______ is a variable, an integer or a product of variables and
integers.

Answers

Product variation .

For a given set of populations and house sizes, different methods of apportionment
may lead to different apportionments.

True
False

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Answer: the answer should be true

im wasting so many points on these
help please

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Hello, again!! :p

I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer  =3 ± i√ 6 ,not a -3.

Sorry, I'm not sure if that was much help!

6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.

Answers

Answer:

33.92

Step-by-step explanation:

40 x .2= 8

40-8= 32

32x.06=1.92

32+1.92= 33.92

20 points.

The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B? ​

Answers

Answer:

B (1, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )

Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is

[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )

- 3 + x = - 2 ( add 3 to both sides )

x = 1

[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Then point B = (1, 8 )

what is a2? ai + 1=ai +1 a0=0 ?

Answers

If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then

a₁ = a₀ + 1 = 0 + 1   ⇒   a₁ = 1

and

a₂ = a₁ + 1 = 1 + 1   ⇒   a₂ = 2

i hope it helped you :P

it was easyy!!!


How do the values compare? Order the values from least to greatest.

-1/2
| -2 |
| 1/2 |
| -2 1/2 |
- 2 1/2
1 1/2

Answers

Im pretty sure it would be ordered: -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
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Im not exactly sure if it is all correct, but i hope this helps! :)

1-w+w2 what is complex cube ​

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex]1 + w[/tex]

Step-by-step explanation:

[tex]1 - w + w2[/tex]

use the commutative property to reorder the terms

[tex]1 - w + 2w[/tex]

collect like terms

[tex] = \: \: 1 + w[/tex]

hope it helps

GOAL: Your goal is to create a collage out of real life scenario that involves one of the different kinds of variation. Create a collage showing how variation can be applied in the current situation in the world right now. ROLE: Artist AUDIENCE: Art Enthusiast SITUATION: You have participated in a contest and must make an artwork with a theme: “MATH IN THE NEW NORMAL: ADOPTING, CONNECTING AND ENJOYING”. As an aspiring artist you are going to show people how variation is important in real life. PRODUCT: Collage with problems and solution involving variation STANDARD FOR ASSESSMENT: Clarity, Accuracy and Creativity

Answers

Answer: How is this math

Step-by-step explanation: What can I help you with? I’m not sure what you’re asking

Help me pls asappppp

Answers

Answer:

D) 8.5

Step-by-step explanation:

because y to b = 4 and it looks a little longer than that so D

Answer:

8.5

Step-by-step explanation:

well from Y to B its 4 so from Y to A its probably 4.5 cuz its a little longer that Y to B so 4+4.5=8.5

Write the equation of the line that passes through the points (2,6) and (-5,4)

Answers

Answer:

y=2/7 x+38/7

Step-by-step explanation:

equation of the line y =ax+b;

a = 4-6/ -5-2

HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form

Enter your answer in the boxes
Y=__x+__

Answers

Answer:

Y= -5x + 6Y

Step-by-step explanation:

(-5, -2.5) to (1.5, 6)

8x-5y=15
6x+4y=43
solve the system by any method​

Answers

Answer:

[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]

Step-by-step explanation:

I will use the elimination method.

We want to make the X's the same:

[tex]24x-15y=45[/tex]

[tex]24x+16y=172[/tex]

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

[tex]31y=127[/tex]

So:

[tex]y=\frac{127}{31}[/tex]

Substitute y into either equation 1 or 2:

(I chose equation 1)

[tex]8x-5(\frac{127}{31})=15[/tex]

[tex]8x=5(\frac{127}{31}) + 15[/tex]

[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]

So:

[tex]x=\frac{275}{62}[/tex]

Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.

6 x + 8 y = 133. 2 x = y.

Which statements about the system are true? Check all that apply.

1. Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.

2. Since the 8-inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8-inch pies, the second equation should be x = 2 y to balance the values.

3. The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.

Answers

Answer:

The number 3 is more accurate

Answer:

Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133

Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.

Step-by-step explanation:

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