You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?

Answers

Answer 1

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.


Related Questions

A board that is

16

feet long is cut into three pieces. If the length of the first piece is

3

5

6

feet and the length of the second piece is

4

5

6

feet, how long is the remaining piece of board?

Answers

Maybe it’s 6 and 6 and 4

Please Help!! Asap!!

A local club team is holding tryouts for six spots on the soccer team. Since there is not much time before a very important tournament they need to select the best players. Which method would be the best to ensure they select the "most talented" soccer players?


A. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top six from the list.


B. The first day of tryouts they select the first six that show up as they figure those are the most eager for a spot.


C. They place all of the names of the people trying out in a hat and then select six out of the hat. Those are the ones that are chosen.


D. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top three and the bottom three from the list.

Answers

Answer:

A because it's most likely to be like that at tryouts

I will give BRAINLIEST. Could someone give an answer along with a brief explanation pls.​

Answers

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

What is the the correct equation to find the value of X?

Answers

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Will mark brainliest...no guessing please :)

Answers

Answer:

A

Step-by-step explanation:

We can calculate the equation of the lines based on two points. First line m:

y = ax +b

where a is the slope and b is the y-intercept. To find the slope we use the x and y of the points as:

a = [tex]a = \frac{y_1-y_2}{x_1-x_2} = \frac{4- -32}{2- -4} = \frac{36}{6} = 6.[/tex]

So:

y = 6x + b

we can find the y intercept by substituting the x and y for one of the points:

solving for b:

b=-32-(6)(-4)= -8.

So the equation is:

y = 6x - 8.

We can change it to:

y + 8 = 6x

8 = 6x - y.

So it’s (A).

Hope that helps!

Answer:

B I think

Step-by-step explanation:

2. French Vanitta K-Cups that originally
cost $5.99 are now on sale for $4.75.

Answers

Answer:

20.7% is the % decrease.

Step-by-step explanation:

 If you are finding the % of decrease then see below.

% Decrease = (Original Cost - New Cost ) ÷ Original Cost  × 100

5.99 - 4.75 = 1.24

1.24 ÷ 5.99 = .2070

.2070 × 100 = 20.7%

Can someone tell me the answer

Answers

Answer:

31 1/4

Step-by-step explanation:  

A two digit number is four times the sum and three times the product of its digit. Find the number.​

Answers

10 × 2 + 4 = 24. Hence, the required number is 24

tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% B 20% C 65% and D 80% pls help
the book is think up

Answers

Answer:

your so funny for a annoying kid

Step-by-step explanation:

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

Determine the rate of change between the points (-1,-1) and (1,-1).

Answers

Answer:

[tex]\displaystyle m = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

*Note:

Rate of change is slope.

Step 1: Define

Identify.

Point (-1, -1)

Point (1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{-1 + 1}{1 + 1}[/tex][Order of Operations] Simplify:                                                                        [tex]\displaystyle m = \frac{0}{2}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 0[/tex]

in triangle abc it is given that AB =9 cm Bc=6cm and Ca = 7.5 cm also
triangle def is given that ef =8 cm and triangle def similar to triangle abc then perimeter of triangle def is ​

Answers

Answer:

Make me as brain liest plz

The perimeter of triangle DEF is; 30 cm

Similar Triangles

We are given dimensions of Triangle ABC as;

AB = 9 cmBC = 6 cmCA = 7.5 cm

Thus;

Perimeter of Triangle ABC = 9 + 6 + 7.5 = 22.5 cm

We are told that Triangle DEF is similar to Triangle ABC.

This means that the ratio of corresponding sides must be equal to the ratio of their perimeter.

Side EF corresponds to side BC. Thus;

Perimeter of Triangle DEF/22.5 = 8/6

Cross multiply to get;

Perimeter of Triangle DEF = (22.5 × 8)/6

Perimeter of Triangle DEF = 30 cm

Read more on similar triangles at; https://brainly.com/question/14285697

help me with #29 please

Answers

Answer:

which one is 29???

Step-by-step explanation:

Plsss help It due tmr plsss

Answers

Answer: 50

Step-by-step explanation:

exterior angles are supplement of interior angle therefore the 110 thing must be 70, also youre given 60 so 70+60=130

50 is missing from 180

Please help me I will give best answer brainliest

Answers

Answer:

i would help but i can't understand that im sry

Step-by-step explanation:

3. /9.49 thanks

Answer:

4. search it you can find it

helpppppppppppppppppppppppppppp

Answers

Answer:a is 14, b is 70%, c is 250

Step-by-step explanation:


Nikko runs 6 miles a day and 3 days a week. How many weeks will it take Nikko to run 198 miles?

Answers

Answer:

11 weeks

Step-by-step explanation:

6*3 = 18

He runs 18 miles per week

To find out many weeks it will take Nikko to run 198 miles we do

198/18 = 11 weeks

Answer:

11 weeks

Step-by-step explanation:

6 x 3 = 18  

198 divided by 18 is eleven

have a great day!

Andrew shovels snow for 4 %2 hours and makes
$27. How much did he make per hour?
And how much does he earn in 8 hours?

Answers

He got paid $54! :)

-x+3y=0
x+3y=12

System of linear equation by elimination

Answers

Answer:

x=6

y=2

Step-by-step explanation:

-x+3y=0 (1)

x+3y=12 (2)

(1)+(2)<=> 6y=12

Z=3 evaluar -[z-(-z)+z]Por favor alguien que me ayude

Answers

Sorry yo no hablar mucho español


Consider this function.
h(x) = (x - 2)^2+3

Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4

(Ps: all four answer and larger equal then or smaller equal then

Answers

Answer:

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

Step-by-step explanation:

The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3).  If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the  parabolic graph twice.

Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test.  This would also be true for x ≥ 3, x ≥ 4, and so on.  Not so for (a) x < 1.  False for x > -5.  True for x < 3.  True for x > 4.

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

Write a linear inequality for each graph (back page)

Answers

Answer:

I can't read that...........

A car traveled 35 miles per hour. In how many hours did it travel 280 miles?

Answers

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

does anyones know these ?

Answers

No I don't know your thing

Please solve.
Picture below

Answers

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

question 8, thanks guys

Answers

Answer:

B.

Step-by-step explanation:

Use the multiplication table of 12 and find that 5x12=60. Answer B is the only one that has that.

the answer is B, each interval goes up by 12 so the incline would be, 12,24,36,48,60

CAN SOMEONE PLEASE HELP ASAP I WILL GIVE 30 POINTS AND MARKED AS BRAINLIEST

Answers

I think it’s the United States

Answer:

it's the middle one

Step-by-step explanation:

In a class of 33 students, the ratio of girls to boys is 6:5. How many are there

3. $ 70 is to be divided among Joseph, Ann and Mary in the ratio 3:5:6. How much would

each receive?​

Answers

Answer:

18 girls and 15 boys.

Step-by-step explanation:

not sure on question 2. $21.33, $23.33, $25.33???

Please help. ASAP. Work out, giving your answer in its simplest form:


3 1/2 divided by 2 3/5

Answers

Answer:

26/35

Step-by-step explanation:

1. First to divide the 3 1/2 by 2 3/5 you have to turn them both into improper fractions

First take 3 1/2. You have to multiply the whole number (3) by the denominator (2) and you would get 6. Then you would add then you add the product (6) to the numerator (1) and get 7.

You keep the denominator the same so the improper fraction is 7/2

Do the same thing to 2 3/5 and the improper fraction is 13/5

2. Now we can divide 13/5 by 7/2 using "keep, change, flip"

Keep: 13/5

Change: division to multiplcation

Flip: 7/2 to make 2/7

Your new equation is 13/5 × 2/7. Multiplcation is easy so you just have to multiply staight across: 13 × 2 and 5 × 7 giving you 26/35

If you divide 35 by 26 you will get 1.34 and a bunch of other numbers but I usually stop at two decimal places

hope this helps :)

help me please !!!!

Answers

Answer:

graph X only

Step-by-step explanation:

because with the rate of change it makes a straight line

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

A) No solution

Step-by-step explanation:

Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:

Both equations in the system have the same slope, m = 2, thus forming parallel lines.  Since their lines are parallel from each other, then it means that their lines will never intersect.

Therefore, the given systems of linear equation is an inconsistent system that has no solution.

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