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.)
$

(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.)
$


(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

80 people enter a​ single-elimination chess tournament.​ (If you lose one​ game, you're​ out.) Assuming no ties​ occur, what is the number of games required to determine the tournament​ champion?

Answers

Answer:

Forty games

Step-by-step explanation:

80 ÷ 2 = 40

40 games are required

A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green wooded balls. A ball is selected from the bag and kept. You then draw a second ball and keep it also. What is the probability of selecting two blue balls

Answers

Answer:

[tex]someone \: needs \: to \: g et \: laid \\ [/tex]

Can someone please answer this question for me :) i would really appreciate it and would also mark brainliest

Answers

Answer:

x=0

Step-by-step explanation:

add 3 to both sides

subtract 4 from both sides

[tex]\sqrt{x} +4-3=1\\\sqrt{x} +4=4\\\sqrt{x} =0[/tex]

Answer: x=12

√x+4 - 3 = 1

(√x+4 - 3) + 3 = 1 + 3

√x + 4 = 4

(√x+4)^2 = 4^2

√(x+4)^2 = 16

x+ 4 = 16 (cancels out the square root)

(x + 4) + (-4) = 16 + (-4)

x + 4 - 4 = 16 - 4

And then just solve it out

x = 12

Hope this helped in some way

Ken drinks 730 bottles of soda a year.
How much does he drink a day.
A 12
B 4
C 2
D 5

Answers

your answer is 5

i divided 730 and 365

a ball is thrown vertically upward from the ground. it's distance in feet from the ground in t seconds is s=-16t+224t. after how many seconds will the ball be 768 feet from the ground? pls help!!!

Answers

Answer:

3.692seconds

Step-by-step explanation:

distance s is represented by the following equation s=-16t+224t

given the distance=768ft

replace s by 768 in the equation to find t (time):

768=-16t+224t

768=208t

t=768/208 =48/13 =3.692seconds

Hope this helps :)

Which inequality is correct?
0.22<0.18
0.22>0.22
0.41<0.08
0.41>0.02

Answers

Answer:

Correct answer is the first one I think. hope this helps


You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much
will be left after 120 years?
grams

Answers

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

What is half-life?

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

R' = R/([tex]2^{T/t}[/tex])............. Equation 1

Where:

R = Original amount of CesiumR' = New amount of cesiumT = Total timet = Half-life

From the question,

Given:

R = 8640T = 120 yearst = 30 years

Substitute these values into equation 1

R' = 8640/([tex]2^{120/30}[/tex])R' = 8640/[tex]2^{4}[/tex]R' = 8640/16R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: https://brainly.com/question/25750315

The graph below represents an employee's earnings based on units sold. What can be interpreted from the slope of this graph?


A.
The employee earns an additional $100 for every one unit sold.

B.
The employee earns an additional $100 for every ten units sold.

C.
The employee earns an additional $1,000 for every one unit sold.

D.
The employee earns an additional $31,000 for every ten units sold.

Answers

Answer:

A

Step-by-step explanation:

From inspection of the graph, we can see that every time the x-value increases by 10, the y-value increases by 1000.

So, the employee earns an additional $1000 for every 10 units sold.

To calculate how much the employee earns for every 1 unit sold, divide $1000 by 10:

1000 ÷ 10 = 100

Therefore, the employee earns an additional $100 for every one unit sold.

Proof

This can be proved by calculating the slope (gradient) of the graph:

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where [tex]\sf (x_1,y_1)[/tex] and [tex]\sf (x_2,y_2)[/tex] are two points on the line

When picking the two points, remember that the y-values are in thousands of dollars.

Two points on the line:

(0, 30000) and (20, 32000)

Substituting these into the formula:

[tex]\sf \implies slope=\dfrac{32000-30000}{20-0}=\dfrac{2000}{20}=100[/tex]

Therefore, the employee earns an additional $100 for every one unit sold.

Eugene works a total of 45 hours per week at two jobs. If his total pay is $ 386.25 (before taxes), and Eugene worked 15 hours at Mudzoff Car Wash and 30 hours at Stuck-in-the-Mud offroad trails, and his hourly rate at Stuck-in-the-Mud is $ 0.25 less than his hourly rate at Mudzoff, find Eugene's pay per hour at each job.

Answers

This app is not for math every math question I get on this app is wrong good luck getting answer this app sucks at math

A spinner is divided into 12 identical sectors and labeled 1 through 12.

How many spins are expected for a multiple of 5 to be spun 8 times?

Select from the drop-down menu to correctly complete the sentence.

The spinner is expected to have to spin approximately
times for a multiple of 5 has been spun 8 times.

Answers

Answer: The awnser is 48

Step-by-step explanation: I took the quiz

6.03 Quiz: Use Theoretical Probability to Predict

It is expected to take 48 spins for a multiple of 5 to be spun 8 times.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Since there are 12 sectors, the probability of landing on a multiple of 5 is 2/12 or 1/6.

The probability of not landing on a multiple of 5 is 5/6.

We can use the geometric distribution formula to find the expected number of spins:

E(X) = 1/p, where p is the probability of success.

As per the question, the probability of success is 1/6.

Therefore, E(X) = 1/(1/6) = 6.

We need to spin a multiple of 5 8 times, so we multiply the expected number of spins by 8:

6 x 8 = 48.

Therefore, we can expect to spin a multiple of 5-8 times after 48 spins.

Learn more about the probability here:

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[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.

Which mold can he use to make the larger-sized candle?

A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold

B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold

C. a cylinder with a height and a radius that are each double the length of those of the original mold

D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Answers

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Step-by-step explanation:

Answer:

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.

Step-by-step explanation:

If 12% of a number is 30, find 4% of that number.

Answers

Answer:

12 of 40=30 so if you do 4 percent of 40 its 1.4

Step-by-step explanation:

Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =

Answers

Answer:

Here is the answer

Step-by-step explanation:

June sells furniture. Last month she sold $1.700 in total sales and earned $85 for
her commission. What percent of her sales does she receive as commission?
(Show your work)

Answers

Answer:

5%

Step-by-step explanation:

1700 * x = 85

x = 85/1700 = .05    or 5 %

question: find the area of the following figure.

Answers

Answer:

Area=length×width

11.4×11.4=129.96

so the area is 129.96

Hope this helps!

given:

length= 11.4 in

to find:

the area of the given figure.

solution:

[tex]a = l \times l \: or \: l {}^{2} [/tex]

[tex]a = {11.4}^{2} [/tex]

[tex]a = 129.96 \: {in}^{2} [/tex]

therefore, the area of the square is 129.96 square inches.

What is the radius of a circle with a Circumference of 64 pi yards?

Answers

the radius of the circle is 8

An ice cream store sells 2 drinks, in 4 sizes, and 6 flavors. In how many ways can a customer order a drink?
There are
ways that the customer can order a drink.

Answers

Answer:

Step-by-step explanation:

Drinks:

number of drinks - 2Number of sizes - 4Number of choices - 4 * 2 = 8

Answer: 8

ans this please i have alot this to do help me​

Answers

Answer:

3.1

Step-by-step explanation:

ok so, 3.14 rounded to the nearest tenth is 3.1

also, keep this in mind

if it is 5 and up it will be able to round up but if it is 4 round it down

Helpp. Mee\\\..........

Answers

Answer:

may not be exact

1- surveying every fifth student who walks in

2-randomly selected people of both genders

3-asking 8 random students from each second period

4-asking 4 girls and 4 boys from each~~

5-randomly choosing a page and counting the words

Step-by-step explanation:

1-explanation; the first one is skewed two 7th graders, the third one is skewed to volleyball players, the fourth one is skewed to eight graders

solve this system of equations 2x+4y=-48

Answers

Answer:

x=-24-2y

y=-12-x/2

Step-by-step explanation:

To solve for x move everything to one side, 2x=-48-4y, then you can divide by 2 to just get x, x=-24-2y.

To solve for y move everything to one side, 4y=-48-2x, then you can divide by 4 to just get y, y=-12-x/2.

Solve for the value of m. M+4 7/8 =9

Answers

Answer:

M=33/8

Step-by-step explanation:

Answer:

M+4 7/8 =9

Step-by-step explanation:

If z = 3cis30°, z3 in rectangular form is:

Answers

[tex]\qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ z=3[\cos(30^o)+i\sin(30^o)] \\\\\\ z^3=3^3[\cos(3[30^o])+i\sin(3[30^o])]\implies z^3=27[\cos(90^o)+i\sin(90^o)] \\\\\\ z^3=27(0~~ + ~~i1)\implies z^3=0+27i[/tex]

so that gives us the point (0 , 27) on the imaginary plane, and we also know the line goes through the origin, since it'd be a line in component form, and to get the equation of a line we only need two points off of it, let's use those two.

[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{27}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{27}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{0}}}\implies \cfrac{27}{0}\implies und efined[/tex]

a line with an undefined slope is a vertical line, namely in this case x = 27.

The outer rectangle is 2 feet by 4 feet. There is a semicircle and isosceles triangle within the rectangle. Find the area of the shaded region to the nearest tenth.

Answers

To find the shaded area in an image first calculate the total area of the figure and then subtract the white area from this total.

How to find the area of a shaded area?Determine the total area of the figure, in this case, the are of the rectangle that contains the triangle and the semicircle.Calculate the area of the white region.Substract the non-shaded area to the total area.

How to find out the area of different shapes?Rectangle: side x side =   2 x 4 = 8 square feetIsosceles triangle = 1/2 base x heightSemicirle = 1/2 (π x r^2)

Note: This question is incomplete because the image of the shaded regions is not provided; due to this, the answer is based on general knowledge.

Learn more about triangles in: https://brainly.com/question/2773823

the graph of a line gets _____
as the value of the slope gets bigger.
A. steeper
B. longer
C. less steep
D. shorter

Answers

Answer: Less Steep

Step-by-step explanation: the graph of a line gets less steep as the value of the slope gets bigger.

The graph of the line gets steeper as the value of the slope gets bigger. Then the correct option is A.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the value of the slope is bigger then the line will be steeper.

Thus, the correct option is A.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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find the product of -5x^3y(4x-8y)

Answers

Answer:

-20x^4y + 40x^3y^2.

Step-by-step explanation:

-5x^3y(4x-8y)

= -5x^3y * 4x + -5x^3y * -8y

= -20x^4y + 40x^3y^2

In simplest form 1 3/10 x 18=

Answers

54/10 or 27/5 hope this helps

207/5 is the simplest form of  [tex]1\frac{3}{10}[/tex] ×18

What is Number system?

A number system is defined as a system of writing to express numbers.

We need to find the simplest form of [tex]1\frac{3}{10}[/tex] ×18

Convert the mixed fraction to improper fraction and simplify.

 [tex]1\frac{3}{10}[/tex]=23/10

Now multiply Twenty three divided by ten with eighteen.

23/10×18

Multiply 23 and 18

23×18=414

Now divide 414 by 10

414/10

Both numerator and denominator can be divided by 2 so

207/5

Hence 207/5 is the simplest form of  [tex]1\frac{3}{10}[/tex] ×18

To learn more on Number system click:

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BRAINLIEST FOR RIGHT ANSWER!

Find the surface area of this rectangular prism. Be sure to include the CORRECT UNIT in your answer.

Answers

Answer:

188 m²

Step-by-step explanation:

The formula to find the surface area of a rectangular prism/cuboid: [tex]A = 2(lw + lh + wh)[/tex], where [tex]l[/tex] is the length, [tex]w[/tex] is the width and [tex]h[/tex] is the height.

1) Plug the values into the formula.

[tex]A = 2((7(6)) + ((7)(4)) + ((4)(6)))[/tex]

2) Solve it.

[tex]A = 2(42 + 28 + 24)\\A = 2(94)[/tex]

A = 188 m²

Simplify the expression shown. [(25 × 16) + (75 × 16)] ÷ (3 + (-3) – 10)

Answers

I think it is -160 I’m not sure tho

Answer:

-160 or in alternative form -1.6x10[tex]{2}[/tex]

Step-by-step explanation

1600 divide -10 equals to -160

*50 POINTS* pls help very urgent! Look at the pic then answer question.

Answers

Step-by-step explanation:

1. feet/min

2. square feet/min

3. cubic feet/min

4. square feet/min

A)

rate of walking = distance/time

Hence rate of walking should be measured in feet/minute

B)

rate of painting a wall can be determined by measuring its area

Hence rate of painting should be in sqaure feet per minute

C)

rate of filling a bucket should be measured by finding its volume

Hence rate of paining is measured in cubic feet per minute

D)

rate of mopping the kitchen floor is same as painting a wall

Hence rate of mopping should be in sqaure feet per minute

Hechen paro es para el parcial

Answers

1.

(x+7)²

using (a+b)²=a²+b²+2ab

= x²+7²+ ( 2×x×7 )

= x²+49+14x

THEREFORE, x²+14x+49 is the answer

2.

4x²-1 = 0

= (2x)²-1² = 0

using a²-b² = (a+b) (a-b)

THEREFORE, (2x+1) (2x-1) is the answer

HOPE IT HELPS :)

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