If Jack wants to retire with $1,000 per month, how much principal is necessary to generate this amount of monthly income if the interest rate is 6% compounded monthly?

Answers

Answer 1

Answer:

He needs to learn the disciplinary principal

Step-by-step explanation:

Answer 2

The principal is necessary to generate this amount of monthly income is $497.

Given that, Jack wants to retire with $1,000 per month.

What is the compound interest?

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]Amount=Principal(1+\frac{R}{100})^{nt}[/tex]

⇒ 1000 =P[tex](1+0.06)^{12}[/tex]

⇒ 1000=P×2.012

⇒ P=1000/2.012

⇒ P=$497

Hence, the principal is necessary to generate this amount of monthly income is $497.

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Related Questions

Apples cost $1.47 per pound. Danielle buys an apple that weighs 0.62 pound. To the nearest cent, how much does Danielle’s apple cost?

Answers

Answer:

91 cents

Step-by-step explanation: Just a hunch

The amount that Danielle’s apple cost is $0.91.

Using this formula

Cost=Sales price per pound× Weight per pound

Where:

Sales price per pound=$1.47

Weight in pound=0.62 pound

Let plug in the formula

Cost=$1.47×0.62

Cost=$0.91

Inconclusion the amount that Danielle’s apple cost is $0.91.

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Here is the other question
Part A and B are done

A. Lesson
1. Describe the formula for slope in words and with an equation.
M=y^2-y^1/x^2-x^1
1. What is the slope of all horizontal lines? What is the slope of all vertical lines?
The slope of all horizontal lines is 0. The slope of all vertical lines is undefined.


B. Lesson Content
3. Copy and paste the 3-step procedure for finding the slope using the formula.

4. Use Example 3 as your model for the following: In the 2000 census, the population was 8000; in the 2010 census, the population was 7500. Find the rate of growth for the town. Show the 3-step procedure, as well as the final answer in words.
A(200(x1), 8000(y1)) and B(2010(x2), 7500(y2))
M=(y2-y1)(x1-x2)=7500-8000/2010-2000
M=-50=50 people per year decrease



C. Write the slope-intercept (y = mx + b) form of the equation from the information given. Show your steps as done in the lesson content to earn credit.

Answers

Answer:

Step-by-step explanation:

Slope is m

in this case slope is -50

b is the y-int,

in this case the y-int is 8000

so your equation: y = -50x + 8000

a car travels along the highway to yuma at steady speed. when it begins, it is 400 miles from yuma. After 7 hours, it is 59 miles from yuma. which function describes the cars distance from yuma?

Answers

The car's position can be described with the linear function below:

y = (-48.7 mi/h)*x + 400 mi

Which function describes the car's distance from Yuma?

We know that the car is initially at a distance of 400 miles from Yuma. We also know that the car moves at a constant rate (steady speed) then its position will be described by a linear equation:

y = a*x + b

Where y is the distance, a is the slope and b is the y-intercept.

Knowing the initial distance, we can write:

y = a*x + 400mi

And we know that after 7 hours, the car is at 59 mi, then we can write:

59 mi = a*7h + 400mi

59mi - 400mi = a*7h

-341 mi = a*7h

-341mi/7h = a

-48.7mi/h = a

Then the equation that describes the distance from Yuma is:

y = (-48.7 mi/h)*x + 400 mi

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Answer:

y=-50x+400

Step-by-step explanation:

Took the text

A 32-ounce package of a snack mix is 24 percent pretzel. How many ounces are pretzels? A. 0.706 B. 0.768 C. 7.06 or D. 7.68

Answers

Answer:

D.7.68

Step-by-step explanation:

100%= 32 ounces

24%= 24% x 32ounces    =   768 ounces

               100%                        100

= 7.68 ounces

What is 5+5 I will give brainliest

Answers

Answer:

5+5=10

tep-by-step explanation:

Sovle -5x + 8 < - 2x + 23

Answers

Answer:

_3x>+31 but I am not sure

Step-by-step explanation:

-5x<-2x+8+23

-3x>+31

Answer:

x > -5

Step-by-step explanation:

1.) Add +5x on both sides

-5x + 8 < - 2x + 23

+5x         +5x      

8    <    3x + 23

2.) Subtract 23 from both sides

8    <    3x + 23

-23            -23

-15  <  3x

3.) Divide by 3 on both sides

-15 <  3x

 3        3

-5 < x

Because you divided by a negative, the sign flips

-5 > x

Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

Answers

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]

∵ BC = 6 units

∵ EF = 3 units

∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]

∵ CA = 2 units

∵ FD = 1 units

∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]

∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

Δ ABC is similar to Δ DEF

given the equation 9x+3Y=7 which equation is perpendicular to an equation with a y intercept of 12

Answers

The answer is y=3x+12

HELP ME PLEASE, ASAP I JUST NEED X !!

Answers

Answer:

x = 6 deg

Step-by-step explanation:

14x + 11 = 16x - 1 (corresponding angles, // lines)

-2x = -12

x = 6

Answer:

C

Step-by-step explanation:

16x - 1 and 4x + 11 are corresponding angles and are congruent, thus

16x - 1 = 14x + 11 ( subtract 14x from both sides )

2x - 1 = 11 ( add 1 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Substitute x = 6 into either of the 2 equal angles

Substituting into 14x + 11 , then

14x + 11 = 14(6) + 11 = 84 + 11 = 95° → C

what is 6 plus6^2÷3​

Answers

I believe the answer would be 18 sorry if im wrong

Can someone help me with the questions in the picture?

Answers

Answer:

9. Perpendicular

10. neither

11. Perpendicular

12. neither

Step-by-step explanation:

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

Slope Intercept Form: y = mx + b

* M is the slope

* B is the y intercept

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

Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)

Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )

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

9. Perpendicular: The slopes are reciprocal of each other and one of them is negative

10. Neither: The lines are not perpendicular because the slopes are both negative

11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.

12. Neither: The slopes of both equations need to be the same to be parallel

Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2

It's easy I'm just not I'm my head rn can someone help?
This is a career explorations question, not math btw!!

Event planners may be responsible for which of the following? Select all that apply.

A: a sporting arena's fan night

B: a birthday party

C: a wedding

D: a Black Friday sale

Answers

B and C for sure maybe A. Def not D

Which of the following is equivalent to -(7/4) ?

A. 7/-4



B. -7/-4



C. 4/-7



D. 7/4

Answers

Answer:

A

Step-by-step explanation:

-(7/4) equals -7/4 or negative seven forths. Its doesn't matter where the negative sign is as long there's only 1 of them and that its still 7/4.

So through process of elimination, we take out B because theres 2 negative, which make a positive, our answer is negative

C is wrong because its 4/7, not 7/4

D is wrong because it's positive, leaving us with A

(9x2 – 8) + (9x2 + 9x + 3)

Answers

Answer:

18x2 +9x -5

Step-by-step explanation:

combine like terms

If -2x+4= 8, will x be positive or negative? Without solving the equation, explain how you know.


Answers

Answer:

x is negative

Step-by-step explanation:

I know x will be negative without solving the equation because we can see that both sides equal positive 8 and for -2x to be positive the x value must be negative. when two negative values are multiplied they change into positive. If the x value was Positive this equation would be false.

Hope this helps you

Answer:

Yes, x will be negative.

We are given:

-2x + 4 = 8

This means that "something", in this case -2x, added to 4, equals 8

The only thing that can add to 4 and equal 8 is 4.

So, that means -2x has to equal 4, which is a positive number.

Negative x negative = positive.

-2 is already a negative number, so x has to be a negative number.

what does angle DFE= in degrees?
Type only number for answer​

Answers

answer: 40°

explanation: angle AFB and DFE are vertical angles meaning they share the same measurements

6. A person can order a new car with a choice of 11 possible
colors, with or without air conditioning, with or without
heated seats, with or without anti-lock brakes, with or
without power windows, and with or without a CD player. In
how many different ways can a new car be ordered in terms
of these options?
A) 352
B) 704
C) 22
D) 176

Answers

176 should be around the answer

(ANSWER ASAP PLZZ) WILL MARK BRAINEST IF CORRECT)Jason and 4 friends went bowling. Three friends rented shoes for $2 each. The total cost to rent the shoes and the lane fees was $42. What was the cost of the lane fees for each person?

Answers

Answer: 30/4

Step-by-step explanation:

Solve 1/2x−5=10−3/4x . Check your solution.



x= __

Answers

Answer:

12

Step-by-step explanation:

can you please answer my question too? it is due soon

Answer:

x = 12

Step-by-step explanation:

1/2x-5=10-3/4x

add 5 to both sides

1/2x=15-3/4x

add 3/4x to both sides

1/2x + 3/4x = 15

2/4x + 3/4x = 15

5/4x = 15

divide both sides by 5/4

x = 15 * 4/5

x = 60/5

x = 12

Evaluate 7(-4) - |-6| + |4|

Answers

Answer:

-30

Step-by-step explanation:

7x-4=-28-6=-34+4=-30

Pls mark as brainliest!!!!!

Answer:

The answer for this is -30.

Step-by-step explanation:

Basically, you start out with solving the equation from left to right (as always). First, you multiply 7* -4, and you get -28. Then you have -28 - |-6| + |4|. Now, |-6| is equal to 6, since it's the absolute value of -6. |4| is equal to 4 for the same reason as well. That leaves you with -28 - 6 + 4. Now you just solve left to right. -28 - 6 is -34, so then you have -34 + 4, which is equal to -30.

Hope that helped!

An ostrich is being chased by a cheetah,
The ostrich is running at 44 feet per
second and the cheetah at 110 feet per
second. If the two started at the same
place and the ostrich got a 60-second
head start, how many seconds will it be
before the cheetah catches it?

Answers

Answer:

  40 seconds

Step-by-step explanation:

  (ostrich speed * seconds) + head start = (cheetah speed * seconds)

                                        44x + (44 * 60) = 110x

                                             44x + 2640 = 110x

                                                       2640 = 66x

                                                              x = 40

No. of seconds before cheetah catches ostrich = 40 seconds

What is speed?

Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.

Speed is directly Proportional to Distance and Inversely proportional to Time.

Speed = Distance/Time

Given,

Speed of ostrich = 44 feet per second

Speed of cheetah = 110 feet per second

Starting point is same

Ostrich got 60 second head start

Distance travelled by ostrich in 60 second = 44 × 60 = 2640 feet

let  S  be the number of seconds that it will take the cheetah to catch the ostrich

Distance covered by cheetah = 110S

Distance that  the ostrich will cover before being caught  is  2640 + 44S

According to the question

110S  = 2640 + 44S  

110S - 44S =2650

66S  =  2640  

S = 2640/66

S = 40 seconds.

Hence, It will be 40 seconds before cheetah catches the ostrich.

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Evaluate the expression w² - v + 1 for w = -2 and v = -8.

Answers

Answer:

13

Step-by-step explanation:

-2(-2) - (-8) + 1

4 + 8 + 1 = 13

Answer:

13

Step-by-step explanation:

cause i did it and it was right

Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1. Four rectangles, labeled P, Q, R and S. Each rectangle is a scaled copy of one another. Ranked in order from least to greatest, the area of the rectangles are as follows: the area of P is equal to S, which are less than the area of Q, which is less than the area of R. From P to Q from P to R from Q to S from Q to R from S to P from R to P from P to S

Answers

I attached a diagram that will aid the understanding of the question.

Firstly, I would love to review what a scale factor is before going into the question.

If you have two shapes that are similar, that is they have corresponding angles, then the scale factor of one to the other is simply the ratio of any two corresponding lengths in the two similar geometric figures.

Looking at these figures in the question, we see that R is an enlargement of the other rectangles while Q is an enlargement of P and S. With this information we can answer the questions:

1. From P to Q, the scale factor greater than one because Q is bigger than P.

2. From P to R, the scale factor is greater than one for the same reason.

3. From Q to S, the scale factor is less than one because S is smaller than Q.

4. From Q to R, the scale factor is greater than one because R is bigger than Q.

5. From S to P, the scale factor is equal to one because they are equal.

6. From R to P, the scale factor is less than one because p is smaller than R.

7. From P to S, the scale factor is equal to one because they are equal.

5) Ziegler is using paper for an art project
thatis 0.025 mm thick. If she glues a layer
of thepaper onto a construction board with
athickness of 7 * 10^-2 mm, what will the
total thickness of the paper and the
construction
board be? Write your ansicer
in scientific notation

Answers

Answer:

9.5 * 10^-2 mm

Step-by-step explanation:

To find the total thickness, we proceed to add the two thickness that we have

Mathematically, this will be;

0.025 mm + 7 * 10^-2 mm

7 * 10^-2 mm = 0.07

So we have;

0.025 mm + 0.07 mm = 0.095

In scientific notation, this is 9.5 * 10^-2 mm

angle of elevation and depression​

Answers

Answer:

Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.

Step-by-step explanation:

Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is ___, which is equal to ___

Answers

Answer:

Step-by-step explanation:

Decimal number in mathematics is one in which the whole number and the fractional part is separated by a decimal point

If we divide 4 by 10 it will give us a a decimal number which was done below

4/10

=0.4

And also if we divide 40 by 100 we will still have a decimal of 0.4

0.4=40/100

Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is 0.4 which is equal to _40/100__

A backpack is normally $64.99 but is discounted ti $45.49. What percent of the original does Maria pay?

Answers

Answer:30%

Step-by-step explanation:

Psychological fact: people with bad handwriting tend to be smarter

Answers

Yes, they jolt things down causing bad handwriting

Can someone please help me with my homework !

Answers

Answer:

Nah ;)

Step-by-step explanation:

Which of the following are solutions to the equation below?
Check all that apply.
x2 - 10x+ 25 = 17
I A. X = 17-5
B. x = --58-5
c. x= - - _17-5
D. x= 177 +5
E. x = 18 +5
F. x= -17 +5

Answers

Answer:

The answer is letter F po

Step-by-step explanation:

Use the formula

(b2)2 in order to create a new term. Solve for x

by using this term to complete the square.

Exact Form:x=±√17+5

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