How much do you need to invest every month to reach a savings goal of $600,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?

Answers

Answer 1

Answer:1828

Step-by-step explanation:


Related Questions

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 4% of the true proportion. Find the sample necessary if, in a prior study, a sample of 200 people showed that 40 traveled overseas last year. If no estimate of the sample proportion is available, how large should the sample be

Answers

Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = [tex]n=p(1-p)(\dfrac{z^*}{E})^2[/tex]

z-value for 95% confidence = 1.96

E = 0.04  (given)

[tex]p=\dfrac{40}{200}=0.2[/tex]

[tex]n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385[/tex]

Required sample size = 385

If p is unknown, then required sample size = [tex]n=0.25(\dfrac{z^*}{E})^2[/tex]

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, [tex]n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601[/tex]

Required  sample size = 601.

Drag each tile to the table to multiply
(6x – y)(2x – y + 2).

Answers

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Geometry Question!!!

Answers

9514 1404 393

Answer:

  12.5 cm

Step-by-step explanation:

Triangle IDA is a 3-4-5 right triangle with a scale factor of 5. That is, segment AI is 25 cm long. Since IS is half the length of the diagonal, it is ...

  IS = (25 cm)/2

  IS = 12.5 cm

__

If you like, you can work out the length of AI using the Pythagorean theorem:

  AI² = DI² +DA²

  AI = √(15² +20²) = √(225 +400) = √625 = 25

Which temperature is warmer: -3 or -4 degrees Celsius?

Answers

Answer:

-3

Step-by-step explanation:

5
Find the value of x. Show work to prove your answer.
(3x +
18)
93°

Answers

Answer:

x=34.5

Step-by-step explanation:

(3x+18)° and 93° lie along a straight line. The angles in a straight line add up to 180. So:

3x+18+93=`80

2x=180-111

x=69/2

x=34.5

Factor the expression completely.
35 + 2x2 – 24

Answers

Answer:

[tex]2x^{2} +11[/tex] cannot be simplified further

Step-by-step explanation:

please help me out, god bless you. dont answer with a link or just steal points plz, I really need help

Answers

Answer:

x = 12 radical 2 ithink these is ansewer

Bob took out a 5 year loan for $4000 and paid 3% annual simple interest

Bill took out a 4 year loan for $4000 and paid 5% annual simple interest

What is the sum of amounts of interest bob and bill paid for their loans

Answers

Bob ended up paying an extra 600 in interest over the 5 years for a total of 4600
Bill ended up paying 800 in interest for 4 years for a total of 4800

Attempt 1 of 2
<< <
1
2
Find the vertices for the ellipse with the given equation.
x2 + 9y2 + 2x + 18y + 1 = 0

Answers

Answer:

is this quadratic equation

This morning, Manny took a history test. There were 50 multiple-choice problems on the test
and Manny answered 10% of them correctly. How many problems did Manny get right?

Answers

Answer:

He got 5 right

Step-by-step explanation:

10% = 0.1

50(0.1) = 5

Answer:

5 questions were answered correctly

Step-by-step explanation:

10% of 50 is 5. So that means 5 questions were answered correctly.

INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?​

Answers

Answer

A. 43.96in?

Step_by_step explanation

please help me im so confused

Answers

Answer:

3 ang sagot

Step-by-step explanation:

hssjshhdhsjsisosokaksks

thx me later

A triangle has side lengths of 12 centimeters, 12 centimeters, and 18 centimeters. What kind of triangle is it?​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.

Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?

(A) |--20 – 12

(B) |--20 + 12

(C) 20 – 12

(D) -20 + 12

Answers

Answer: B

Step-by-step explanation:

y=((3x+1)³)-², find dy/dx​

Answers

Firstly simplify then differentiate

Question 5 of 10
Which solid has a greater volume?
O A. Figure A has a greater volume.
B. Figure B has a greater volume.
22
O C. They are equal.
OD. It cannot be determined.
SUBMIT

Answers

Answer:

C. They are equal

Step-by-step explanation:

Both have the same volume 24

Both Figure have same Volume.

What is Volume?

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

Cone:

Volume of Cone = 1/3 πr²h

                            = 1/3 (3.14)(3)²8

                            = 75.36 unit³

Cylinder:

Volume of Cylinder = πr²h

                                = (3.14)(2)²6

                                = 75.36 unit³

Thus, Both figures have Equal volume.

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ5

Solve for
3+4 |x/2 + 3| = -11

Answers

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The absolute value cannot be negative. Here, the absolute value expression must be -3.5 in order to satisfy the equation. It cannot have that value.

  there is no solution

a publisher for a promising new novel figures fixed costs overhead, advances, promotion, copy editing, type setting and so on at $57,000 and variable costs printing, paper, binding, shipping at $2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?​

Answers

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Find the missing angle and round to the nearest tenth! Thank you :)

Answers

what they said before me !

Find the limit when X approaches zero
2xsinx/1-cosx

Answers

Answer:

4

Step-by-step explanation:

[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]

[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]

[tex] =2(1+\cos 0) \times 1 [/tex]

[tex] = 2(1+1) [/tex]

[tex] = 2(2) [/tex]

[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]

3
Select the correct answer from each drop-down menu.
A cross section is the intersection of a
✓ and a

Answers

Answer: three dimensional figure and plane.

Step-by-step explanation:

A cross section is the intersection between a (three dimensional figure) and also a (plane).

When an object is being cut straight, the shape that we get is referred to as the cross section. We should note that several parallel cross sections will be firmed when we cut a particular object into slices.

Please help asap!!!!

Answers

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

in 1980, wind turbines in Europe generated about 5 gigawatt-hours of energy. Over the next 15 years, the amount of energy increase by about 59% per year.

NOT A MULTIPLE CHOICE

1a. Write a model giving the amount E of energy t years after 1980.

1b. Use your model determine how much wind energy was generated in 1984.

1c. Determine the year when 80 gigawatt-hours of energy were generated.​

Answers

9514 1404 393

Answer:

  1a. E = 5×1.59^t

  1b. 32 GWh

  1c. 1986

Step-by-step explanation:

1a. An exponential model looks like

  f(t) = a·b^t

where 'a' is the value when t=0, and 'b' is the growth factor in the time period associated with t.

Here, 'a' is 5 (GWh), and 'b' is 1+59% = 1.59. Then the desired model is ...

  E = 5·1.59^t . . . . . where t is years after 1980, and E is in GWh.

__

1b. For t=4, we have ...

  E = 5·1.59^4 ≈ 31.96 ≈ 32

About 32 GWh was generated in 1984.

__

1c. The value of t for a given value of E is ...

  E/5 = 1.59^t . . . . divide by 5

  log(E/5) = t·log(1.59) . . . . take logarithms

  t = log(E/5)/log(1.59) . . . . divide by the coefficient of t

For E = 80, the years after 1980 are ...

  t = log(80/5)/log(1.59) ≈ 5.98

About 80 GWh were generated in 1986.

A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them are catfish

Answers

There is a high probability of all of them being catfish since there are 8 catfish in total and since 8 were randomly caught. I don’t truly know.

What type of polynomial is 14x2 + 3x – 15?

Answers

Answer:

Step-by-step explanation:

There are three terms. So, 14x² + 3x -15 is a trinomial

Trinomial becuse it’s the way u add and you can also look it up on the internet

The ___ is the ratio of a length of the new figure to the corresponding length on the original figure

Answers

Answer:
scale factor

Explanation:
The ratio of the side lengths of the image to the corresponding side lengths of the original figure is the scale factor of the dilation.

Please help i need to get these right or i fail WILL GIVE BRAINLEST!!!

Answers

Answer:

Give brainly to other guy

Step-by-step explanation:he deserves it

A jar contains 3 blue marbles, 4 yellow marbles, and 3 green marbles.
What is the probability of randomly choosing a yellow marble, replacing
it, and then choosing a blue marble?

Answers

Answer:

3/25

Step-by-step explanation:

There are 10 total marbles

P(yellow) = yellow/total = 4/10 = 2/5

We replace it so there are 10 marbles

P(2nd marble blue) = blue /total = 3/10

Multiply the two probabilities together

P(yellow, replace, blue) =2/5*3/10 = 3/25

Answer:

3/25

Step-by-step explanation:

gvfhcfhvg fbdhuvd

Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly

Answers

Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6

What does please put it in simplest radical form and rationalize the denominators
N=
M=

Answers

Answer:

n = 6

m = 6√3

Step-by-step explanation:

Reference angle = 30°

Opposite = n

Adjacent = m

Hypotenuse = 12

✔️To find n, apply the trigonometric ratio, SOH:

Sin 30° = Opp/Hyp

Sin 30° = n/12

n = Sin 30° × 12

n = ½ × 12 = 6

✔️To find m, apply the trigonometric ratio, CAH:

Cos 30° = Adj/Hyp

Cos 30° = m/12

m = Cos 30° × 12

m = √3/2 × 12 (cos 30 = √3/2)

m = √3 × 6

m = 6√3

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