a) Patty Stacey deposits $2600 at the end of each of 5 years in an IRA. If she leaves the money that has accumulated in the IRA account for 25 additional years, how much is in her account at the end of the 30-year period? Assume an interest rate of 10%, compounded annually. (Round your answer to the nearest cent.)
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(b) Suppose that Patty's husband delays starting an IRA for the first 10 years he works but then makes $2600 deposits at the end of each of the next 15 years. If the interest rate is 10%, compounded annually, and if he leaves the money in his account for 5 additional years, how much will be in his account at the end of the 30-year period? (Round your answer to the nearest cent.)
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(c) Does Patty or her husband have more IRA money?

Answers

Answer 1

Answer:

From the question, Stacey deposits $2600 six times over a thirty year period since she makes the deposit every five years. Her amount accures by the formular. A = P(1+r/n)^nt. Where her principal P = $2,600. Rate, r =6% =0.06. Time = 30 years and the period of compounding per unit time, n = 6 years. So we have A =2, 600(1+(0.06/6))^(6*30) = 2, 600 (1 + 0.01)^(180) = 2600* 5.9958 = $15, 587. To the nearest cent we have $15, 590.

Step-by-step explanation:

:)


Related Questions

what is the fewest numbers of sides a polygon can have. why?

Answers

A polygon with the minimum number of sides is called a triangle. The smallest number of sides a polygon can have is three.

Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+
44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17

Answers

Answer:

  (b)  32x^3 - y^3 + 42x^2y + 11xy^2 + 17

Step-by-step explanation:

To find the difference of the polynomials, write the equation expressing the difference, then simplify.

  (19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)

  = (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17

  = 32x^3 -y^3 +42x^2y -11xy^2 +17

Callie stopped for lunch when she was shopping at the mall. She bought two pieces of
pizza for $2.95 each and a soda for $2.25. About how much did she spend? I have to round the numbers. HELP PLS

Answers

Answer:

She spent $8.15

Step-by-step explanation:

2 × $2.95 for two pizza = $5.9

$5.9 + an additional $2.25 for a soda = $8.15

After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?

Find the chi-square table here.

χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05

Answers

The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.

How to depict the hypothesis?

It should be noted that hypothesis testing is done in order to get more information about a particular issue.

In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.

This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.

Learn more about hypothesis on:

https://brainly.com/question/15980493

8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93

Answers

que chingue a su madre la jimena.

Step-by-step explanation:

the width of a rectangle is a third as long as the length. If the primeter is 24 inches, what is the area of the rectangle?

Answers

Answer:

108 inches

Step-by-step explaination:
Looking at the picture I drew, we can assume that 24 = 4x
and so x=6 and 3x=18.
6 times 18 is 108.

Please answer correctly!! Will mark brainliest

Answers

Step-by-step explanation:

a. the zeroes of the function :

x = 2 or x = -2

b. the y-intercept :

g(0) = -3(0-2)(0+2)

= -3(-2)(2) = 12

the coordinates => (0, 12)

c. the g(x) = g(-x) => this is the even function

d. the leading of coefficient is negative

e. the end of behaviour is toward down

Please help me

10 points

Answers

Answer:

113.04cm^2

Step-by-step explanation:

The area of a circle is pi * r^2

pi=3.14

So 6^2 is 36

36*3.14=113.04

Hope it helps!

a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?​

Answers

Answer:

1/12

THIS DESERVES BRAINLISTTT

Step-by-step explanation:

There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.

A die has 6 sides. A coin has two.

The probability of rolling a 5 on the die is 1/6.

The probability of getting tails is 1/2.

To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.

The probability of rolling a 5 and getting tails is 1/12.

The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.

Answers

Answer:

y=-5x-2

Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2

Hope it helps.

Do comment if you have any query.

Determine the mean of the following data. Choose the correct option.
7, 8, 9, 2, 4, 5, 12, 9

Answers

Answer:

7

Step-by-step explanation:

mean means average

there are 8 numbers

add them all up

7+8+9+2+4+5+12+9=56

divide 56 by 8 = 7

i don't understand the calculation of learning rate , how it came 75%

Answers

Answer:

Increase the learning rate after each mini-batch by multiplying it by a small constant.

If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3​

Answers

Answer:

1/4

Step-by-step explanation:

Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entries

Sample Space

{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4

Write an equation of the line in slope-intercept form.

Answers

Answer:

Step-by-step explanation:

Y-intercept is -2.

Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.

Plugging into slope-intercept form:

y=mx+b => y=2x-2

please help me!!!!!!!​

Answers

I'll do part 1 to get you started

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

Answers:

D) 90, 45, 45A) centroidB) vertex of right triangleB) 41C) 5^4*3^5

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

Explanations:

In an isosceles triangle, the base angles are congruent. Let's call them x. When dealing with a right triangle, those bases angles are also complementary and they add to 90 degrees. This means x+x = 90 solves to x = 45. Therefore we have a 45-45-90 triangle.This is something to memorize. There's not much explanation I can think of. The altitudes intersect at the orthocenter. For a right triangle, the altitude for the base is the height, and vice versa. The base and height intersect at the vertex point that's the 90 degree angle.The number 41 is prime because the only factors are 1 and itself.  Something like 81 is not prime because 3 is a factor. We consider 81 to be composite.Rewrite 5^4*3^5 as 5*(5^3*3^5) to see that 5^3*3^5 is a divisor or factor of 5^4*3^5

a farmer sold 1/4 of his 1500 flock of sheep. how many sheep dd he sell?

Answers

Answer:

375 sheep.

Step-by-step explanation:

To find 1/4 of 1500, you must divide the number by the denominator of the fraction.

1500 ÷ 4 = 375

Write an equation of the line that passes through (3,1) and (0,10) .

Answers

Answer:

(1,1) and (0,1)

Step-by-step explanation:

i think thats it i dont know what it looks like i need a picture of it

The sets J and E are given below.
J= {2, 3, 4, 8)
E={0,1,3,7)
Find the intersection of J and E.
Find the union of J and E.

Answers

Answer:

See below

Step-by-step explanation:

Intersection is the elements that are in both sets :  {3}

Union adds them together  { 0 1 2 3 4 7 8 }

The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?

Answers

Answer: 1680

Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.

Help picture below problem 18

Answers

Answer:

by using pythagoras theorem

[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]

A VIAL OF PIPERACILLIAN 4 G IS RECONSTITUTED WITH 2 Ml OF NORMAL SALINE TO YEILD 2g/mL. What is the concentration of the medication if the patient is to receive 1 mL OF THE MEDICATION? A.1.0g B. 1.5g C. 2.0g D. 2.5g

Answers

Answer:

2 gm

Step-by-step explanation:

2 gm / ml  *  1 ml   = 2 gm

!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks

Answers

Answer:

19.0 cm (3 sf)

Step-by-step explanation:

Formula

[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]

(where r is the radius)

Arc length of white sector

Radius of white sector = 8 - 4.5 = 3.5 cm

[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]

Arc length of grey sector

Radius = 8 cm

[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]

Perimeter of shaded part

Perimeter = arc length (white) + arc length (grey) + 2 x 4.5

                [tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]

                [tex]\sf =19.0356432...[/tex]

                [tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]

. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?

Answers

Answer:

We need the picture of the line plot in order to answer the question

Step-by-step explanation:

What in the cinnamon toast crunch is 2+ x= 1

Answers

Answer:

x = -1

Step-by-step explanation:

A triangle with exactly two sides of the same length is called

Answers

Answer:

isosceles

Step-by-step explanation:

isosceles

Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?

y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4

Answers

Linear Equations

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

m = slopeb = y-intercept (the value of y when x=0)

Solving the Question

We're given:

m = 5The line passes through the point (0,-4)

Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.

On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.

The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.

Answer

y = 5x - 4

Go math help very easy points​

Answers

Answer:

5, 10, 11, 12, 13, 14, 23, 28, 32, 32, 36, 41, 51, 63, 65

alsooo...

wHy cOUldn'T u dO It

OoooOooOOooooOOOO

brainly is NOT a cheat sheet :)

If l=5,b=3cm,c=2cm, find its volume

Answers

Answer:

30 cm³

Step-by-step explanation:

Volume = lbc

V = l x b x cV = 5 cm x 3 cm x 2 cmV = 30 cm³

Answer:

The volume is 30 cm³

Step-by-step explanation:

Volume = b×c

=> 5×3×2

=> 30 cm³

20 POINTS ALL FOR YOU IF YOU ANSWER IT

Answers

Answer:

look i don't have a paper,but

(3x+10)+(2x+20)=180from here you can do the math and get the X

Answer:

x=30

angle ABC=100

angle DBC=80

For the given equation, find the value of M when x=3. 2x+m=7

Answers

[tex]m = 1[/tex]

Step-by-step explanation:

[tex]2x + m = 7[/tex]

insert x=3 into the equation

[tex]2(3) + m = 7[/tex]

multiply

[tex]6 + m = 7[/tex]

subtract 6 on both sides

[tex]6 - 6 + m = 7 - 6[/tex]

[tex]m = 7 - 6[/tex]

simplify

[tex]m = 1[/tex]

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