If Debbie starts a retirement account with 10,000 dollars that has an annual rate of return of 12%, how long (in years) would it take for her to have at least 100,000 dollars if interest is compounded continuously?

Answers

Answer 1

Answer:

19.2 years

Step-by-step explanation:

The formula to find the time in a compound interest that is compounded continuously is given as:

t = ln(A/P) / r

Where:

t = time in years = ??

A = Amount after Interest is compounded continuously = $100,000

P = Initial Amount in the retirement account = $10,000

r = Rate of return = 12%

First, convert R percent to r a decimal

r = R/100

r = 12%/100

r = 0.12 per year,

Then, solve our equation for t

t = ln(A/P) / r

t = ln(100,000.00/10,000.00) / 0.12

t = 19.188 years

Approximately t = 19.2 years


Related Questions

A luxury chairs manager found that an employee made 3/4 of a chair every 3/8 of an hour

How many chairs does the employee make per hour?

Answers

Answer:

3/4 x 3/8 = 9/32

Step-by-step explanation:

HELP!!! PLZ!!!!!! what the answer??? The choices are yes and no.

Answers

I think it’s yes yes no yes but I’m not 100% sure

The scientific notation of 92960000

Answers

Answer:

9.296 x 10^7

Step-by-step explanation:

Answer:

9.296*10^7

Step-by-step explanation:

The scientific notation of 92960000 is 9.296 * 10 ^7

Question 3 plzzz thanks u

Answers

Answer:

the pic is blank we can't see

Step-by-step explanation:

My guess would be 1 and 10

What is 19% as a decimal and a fraction?

Answers

Answer:

Decimal - 0.19 Fraction - 19/100

Step-by-step explanation:

Answer:

Decimal: 0.19

Fraction: 19/100

Step-by-step explanation:

19% means that there is 19/100 which is also 0.19 as a decimal. I dont really know how to explain this but can you please mark as brainliest?

I REALLY NEED HELP WITH THIS QUESTION

Answers

Answer:

d i have done this before

Step-by-step explanation:

Answer:

It is B

Step-by-step explanation:

If im wrong sorry but i got big brain :0

Can you help me, please?​

Answers

Answer:

a. 18

b.144

c.108

Step-by-step explanation:

Using the given, Angle R equal 5x-54 and Angle T is 8u.

Also RS is congruent to ST. Since SR is congruent to ST, their opposite angles are also congruent using base angle theorem. So angle R is equal to Angle T. However, STU is a exterior angle so STU isn't congruent to SRT.

However, we can add , interior angle T, and STU to 180 to find x.

Interior angle T=SRT so interior angle t=5x-54.

Set up equation

[tex]5x - 54 + 8x = 180[/tex]

[tex]13x - 54 = 180[/tex]

[tex]13x = 234[/tex]

[tex]x = 18[/tex]

b.Plug 18 into 8x

[tex]8(18) = 144[/tex]

STU=144

c. Using the triangle exterior angle theorem, the exterior angle is equal to the measure of the sum of two non adjacent angles.

Angle S and Angle R are the non adjacent angle to STU.

So we cast up this equation.

[tex]5x - 54 + s = 180[/tex]

plug 18 in for x

[tex]5(18) - 54 + s = 144[/tex]

[tex]90 - 54 + s = 144[/tex]

[tex]36 + s = 144[/tex]

s=108

WILL GIVE BRAINLIEST!
Use the formula N = t2 − t/2, where N is the number of basketball games that must be scheduled in a league with t teams if each team is to play every other team once.
A league has 45 games scheduled. How many teams are in the league if each team plays every other team once?
teams

Answers

Answer:

t=7

Step-by-step explanation:

N=45

find t

45=t^2-t/2

0=t^2-t/2-45

use the quadratic formula

t=6.96~=7

Answer:

Step-by-step explanation:

45 = t2 - t/2

45 = 30(2) - 30/2

45 = 60 - 15

45=45

I'm having trouble solving the system of linear equations. This is the system: 5x + 6y = 50 x - 6y = -26 Can you please help me? Don't give the answer, but can you just explain?

Answers

Answer:

y = 5 ; x = 4

Step-by-step explanation:

Given :

5x + 6y = 50 - - - (1)

x - 6y = -26 - - - (2)

From (2)

x = - 26 + 6y

Put - 26 + 6y for x in (1)

5(-26 + 6y) + 6y = 50

-130 + 30y + 6y = 50

-130 + 36y = 50

-130 - 50 = - 36y

-180 = - 36y

y = 180 / 36

y = 5

Put y =5 in x = - 26 + 6y

x = - 26 + 6(5)

x = - 26 + 30

x = 4

y = 5 ; x = 4

PLEASE HELP!!! PICTURE INCLUDED please look at it!!! ILL MARK U BRAINLIEST IF U GET IT RIGHT!!!

Answers

Answer:

73 % for the right square, 173% if you need to add both squares together

Step-by-step explanation:

each block is 10, and whole is equal to 100%

Find the length




*Will give brainlist

*Comment if i didn't describe enough

*STEP BY STEP

Answers

Answer: 60 because the formula is base times highet devided by 2 or 1/2, hope this helps

How would you calculate the area of the quarter circle represented in the upper left hand corner of this figure?

(see pictures for answer options)

Answers

Answer:

Step-by-step explanation:

To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.

Answer: [tex]\frac{\pi *r^{2} }{4}[/tex]

Step-by-step explanation:  We know that the formula for the area of a whole circle is πr². A quarter circle is one-fourth of a circle, so if we divide the area of the whole circle into four, we can find the area of the quarter circle: [tex]\frac{\pi *r^{2} }{4}[/tex]

A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?

Answers

Answer:

it would be 128 because 8 divded 2 is 4. 4 is the number of cereal boxes now multiply 4 x32 which would be 128

Answer:
128 ounces
Explanation:
If she spends $8 than that means you multiple 2•4 and that gets you $8 so now you have to multiple 32 by the same number we multipled 2 by which is 4 so 32•4 = 128
Hope this helps! Have a great day

Solve the inequality.

Please help.

Answers

Answer:

2 < x <_ 3.5

Step-by-step explanation:

First, find the value of x by writing it as an equation. Then, use 0 as x to determine the correct inequality.

If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another then the triangles are congruent
A. AAS
B. SAS
C. SSS
D. ASA

Answers

Answer:

AAS

................................

Answer:

AAS

Step-by-step explanation:

i took the quiz rn

Help meee pleaseeeeeeeeee

Answers

Answer:

3. 25

4. 22

5. 14

6. 12

7. 45

Step-by-step explanation:

12x4=40+8

20-12=2x4

25-4=3x7

4x9=31+5

16+12=7x4

38-5=3x11

6x7=46-4

HELP I NEED HELP ASAP

What is the sum of the solutions to the equation (3x-16)(2x+15)=0?

A. 13/240
B. 13/6
C. -13/240
D. -13/6

Answers

Answer:c

Step-by-step explanation:

Answer:

(3x-16)(2x+15)=0

A. 13/240

Simplify the expression
8.8 (3.6d +1)

Answers

Answer:

31.68d + 8.8

Step-by-step explanation:

We have to simplify the expression but with one dillemma. The number 8.8 is outside the parenthesis of 3.6d + 1 and 3.6d + 1 aren't combinable because they aren't like terms.

When we have a problem like 8.8 being out of the parenthesis, we need to distribute 8.8 to both numbers in the parenthesis, or in other terms multiplying.

(8.8 * 3.6d + 1 * 8.8)

31.68d + 8.8

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Answers

Answer:

y=1/2x-2

Step-by-step explanation:

2y=-4+x

2y=x-4 divide both sides by 2

y=1/2x-4/2

y=1/2x-2

Answer:

[tex]y = 0.5x - 2[/tex]

Step-by-step explanation:

Slope intercept form is

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

Our initial goal is to isolate y.

[tex]2y - x = -4[/tex]

Add x to both sides of the equation.

[tex](2y - x) + x = (-4) + x[/tex]

Simplify.

[tex]2y =x -4[/tex]

Divide both sides by 2.

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

Simplify.

[tex]y = 0.5x - 2[/tex]

I need help I accidentally hit the answer 7

Answers

Answer:

A.4

Step-by-step explanation:

The diameter of the bigger circle is 14

You first subtract 6 from 14 which is 8

8 is the diameter of the smaller circle the radius is 4

your answer is A.

A 30 foot ladder is leaning against the side of a building and is positioned such that the base of the ladder is 21 feet from the base of the building how far above the ground is the point where the ladder touches the building

Answers

Answer:

21.42ft

Step-by-step explanation:

a²+b²=c² where "c" is the hypotenuse of a right triangle and "a" and "b" are the two other sides

now let's plug in the values

21²+b²=30²

b²= 30² - 21²

b²= 459

b= 21.42

Emily goes to the gym every 4 days. Scott goes to the gym every 14 days. Emily and Scott both go to the gym today. How many days will it be before they next go to the gym on the same day

Answers

Step-by-step explanation:

28 days. it'll be Emily's 7th visit and Scotts 2nd.

28 is the lowest common factor

PLEASE HELPPPP I'LLL GIVE BRAINLISTS

Answers

Answer: A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

For one scientific notation will not work with negative exponents therefore we can eliminate answer choices A and D

Secondly scientific notation usually has a decimal

Answer choice c does not have a decimal point leaving us with answer choice B

math - select all that apply

Answers

Answer:

a

Step-by-step explanation:

both the end points are around the same number

help asap!
Find the probability of at least one failure in five trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent.

Answers

0.15 is your answer

Simplify -5(4x-3) please help?

Answers

Answer:

-20x+15

Step-by-step explanation:

You use foil method so you distribute it and it becomes -5*4x amd -5*-3 so it would be -20x+15

-5 x 4x=-20x and -5x x -3 = +15

-20x+15 is the answer

will mark branily PPPPPPPLLLLLLLLLLLLLZzzzzzzzzzzz

Answers

Answer:

336

Step-by-step explanation:

trus

Answer:

336 in³

Step-by-step explanation:

8 x 7 x 6 = 336 in³

Also the volume will double

Clare has a set of cubes with a volume of 1 cm³ each. She also has a box with a volume of 24 cm³. Exactly two layers of cubes can fit in this box. How many cubes must be in each layer? its a school problem I'm having trouble with

Answers

Answer:

12 cubes

Step-by-step explanation:

If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...

24 / 2 = 12 cubes

Finally, we can see that each layer within the box will contain 12 cubes

please help, I have so much work to do, and I have to fit in time to study for a huge test they will determine my future
fill in the 5 blanks​

Answers

Answer:

11

13

15

23

Step-by-step explanation:

you substitute each x value in the table with the x in the equation

f(x)= 2x+13

f(x)= 2(-1)+13 .... repeat for each

11

13

15

17

20

In order from the top

A cylinder shaped water tank has a diameter of 8 m and a height of 20 m.

What volume of water does the tank contain when it is 60% full?

Use 3.14 to approximate pi.
Enter your answer as a decimal to the hundredths place in the box.

___ m3

Answers

Answer:

602.88 cu ft.

Step-by-step explanation:

V = Bh where B is the area of the base, which is a circle in your problem.

Since the diameter is 8, the radius is 4.

So, B = [tex]\pi r^{2} = 3.14(4^{2} ) = 3.14(16) = 50.24[/tex]

V = Bh = 50.24(20) = 1004.8 cu ft = total volume of tank

60% of that volume is .60(1004.8) = 602.88 cu ft.

Other Questions
R + 4 when r = 13 Can u explain it An element is made up of _____.one type of atomone type of moleculemany type of atomsmultiple compounds PLEASE IN YOUR OWN WORDS ITS PRETTY EASY! +brainliest!Do you think that voting age of 18 is appropriate? If you were to change it, would you make it higher or lower and why? Justify your answer by using examples. What function is represented by a line with slope 2 that passes through the point (0, 4)? a business owned and operated by the federal government (2 words) Please help and I will give you a Cookie what is 21+208 I AM A SUPER IDIOT PLZ HELP ME Pioneer plant species could be described as those that? A) sprout from seeds after a Forest fire. B) are slow to mature, and require a soil with well-balanced nutrients C) are small in size, and highly effective means of dispersing Their seeds Sandburg's (blank) poemdescribes the ability of people to forget the toll ofwar. Plz answerrr and hurryyyy I will mark brainliestttt 5. How many topics will a well-designed web page have? 2. Which two equations are represented in the following graph? The value of k lies between 2.2 and 2.3.Select all possible values of k. What is used up in and stops a chemical reaction? Match the statements written in English with the mathematical statements. Group of answer choices I will give brainiest The number -4 is a distance of 4 units away from 0 on the number line.[ Choose ]The number -63 is more than 4 units away from 0 on the number line.[ Choose ]The number 4 is greater than the number -4.[ Choose ]The numbers 4 and -4 are the same distance away from 0 on the number line.[ Choose ]The number -63 is less than the number 4.[ Choose ]The number -63 is further away from 0 than the number 4 on the number line.[ Choose ] Why do scientists keep track of hurricanes?A)to prevent them from forming out at seaB)to determine their strengths and paths.to divert them from the land into the seaD)to predict how much damage they will cause What congruence theorem can you use to show that the two wedges of cheese have the same length?9.6 cm9.6 cm3.2 cm3.2 cmYou can show that the two wedges of cheese have the same length using the(blank) Congruence Theorem.Please help!! Give an example of two metals and non-metals that don't have the usual properties. Why are they so unusual. Teddy shouted to the house: "Oh, look here! Our mongoose is killing a snake"; and Rikki-tikki heard a scream from Teddy's mother. His father ran out with a stick, but by the time he came up, Karait had lunged out once too far, and Rikki-tikki had sprung, jumped on the snake's back, dropped his head far between his fore-legs, bitten as high up the back as he could get hold, and rolled away. That bite paralysed Karait, and Rikki-tikki was just going to eat him up from the tail, after the custom of his family at dinner, when he remembered that a full meal makes a slow mongoose, and if he wanted all his strength and quickness ready, he must keep himself thin.Rikki-Tikki-Tavi,Rudyard KiplingSelect the two best questions to ask Rikki-tikki in an interview.Did Teddys father run out with a stick?What did you think when you heard Teddys mother scream?Do you eat snakes?How does it feel to know you protected Teddy and the family?Is it your familys custom to eat the snakes tail first? What is the value of the expression 2 x 7 + 9 3 3?