If Debbie starts a retirement account with $100 that has an annual rate of return of 8%, how long (in years) would it take for her to
have at least $100,000 if interest is compounded continuously?
A) 1 year
B) 8 years
C) 87 years
D) 90 years

Answers

Answer 1

Answer:

C.) 87 years

Step-by-step explanation:

I've taken the test! Hope this helps! ;)

Answer 2

The number of years for her to have at least $100,000 if interest is compounded continuously is 90

How to determine the number of years?

The given parameters are:

Amount, A = 100,000

Principal, P = 100

Rate, r = 8%

Amount is calculated using:

A = P * (1 + r)^t

So, we have:

100000 = 100 * (1 + 8%)^t

Divide by 100

1000 = (1 + 8%)^t

Evaluate the sum

1000 = 1.08^t

Take the logarithm of both sides

log(1000) = log(1.08)^t

Apply the law of logarithm

log(1000) = tlog(1.08)

Solve for t

t = log(1000)/log(1.08)

Divide

t = 89.7

Approximate

t = 90

Hence, the number of years is 90

Read more about compound interest at:

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Related Questions

What is the area of the circle? I need help please!

Answers

Answer: 78.5

Step-by-step explanation:

FIND THE ERROR!!!!!!!!

Answers

Answer:

the error is between steps 2 and 3. you cannot add 5x and 3. if a value has an x attached, then you can only add values that also have that variable attached. hopefully that made sense, lmk if you need more explaining :)

Step-by-step explanation:

please please please help me do not get this

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Answer:

4

Step-by-step explanation:

What are the answers for the boxes

Answers

Answer:

= 2x + 3

Step-by-step explanation:

have a nice day!! :)

What is the center of the circle shown below? A.J B. 7.8 C. K D.JK​

Answers

Answer:

J

Step-by-step explanation:

J is the center of the circle

5 cm
2 cm
1 cm
What is the answer help ASAP

Answers

Answer:

Area = 34 cm squared

Step-by-step explanation:

First,

Top = 5

Bottom = 5

Left side = 2

Right side = 2

Front = 10

Bottom = 10

Total = 34

Hope this helps!

Please help I'll mark brainliest

Answers

Answer:

(-5,6)

Step-by-step explanation:

5(-5) +6y =11

-25 +6y = 11

6y = 36

y = 6

Answer: (-5,6)
Hope this helps


Luke surveyed his friends to see how many minutes it takes each of them to get to school in the moming. The results are in the list below.
6, 11, 14, 4, 8, 8, 10, 9, 14
What is the mean of the data? (Round to the nearest tenth if necessary)

Answers

Answer:

9.3

Step-by-step explanation:

The real answer is 9.33333 but I did as you said and rounded to the nearest tenth.

I got this answer by adding up 6, 11, 14, 4, 8, 8, 10, 9, 14 and I got 84. Then I divided 84 by 9 and got 9.33333.

Sorry if I'm wrong.

Please mark me as Brainliest.

The answer to that question is 9.3

When Colton commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of 3.5 minutes. Using the empirical rule, determine the interval that represents the middle 95% of his commute times

Answers

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean.  That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)

What percent is represented by the shaded area?

Answers

57% i’m pretty sure

The length of the rectangle is 8 feet. The area is 32 square feet. What is the width of the rectangle?

Answers

Answer:

it's four

8×4=32

A dice is a perfect cube. The length of the side of the dice is 1 cm. The density of a dice is 2 g/cm.
What is the volume of the dice?

Answers

Answer: I handdbbdhddhdndnndnddnndjdjdjdjdjdjdjdjdjdjdjdjdjdjdjd

Step-by-step explanation:

The diameter of the circle shown below is
11.5 inches.
11.5 inches
What is the radius of the circle?
A. 5.75
B. 11.5
C. 23
D. 34.5

Answers

Answer:

A. 5.75

Step-by-step explanation:

11.5/2 = 5.75

which of the following phrases are equations
A 5=3m
B n>|-8|
c 2+6=(5-1)•2
D 8•(k+6
E 0<4+p

Answers

Answer:

all but D because it doesn't have an equals or inequality sign

Step-by-step explanation:

Solve the system below.
y= -3/4x-4
2y-2=x

Answers

Hope this helps you with what you are looking for

Please help me with these!!

Answers

Answer:

Physics: 40℅

Chemistry: 20℅

Other: 90℅.

Hope you like my answer.

in a 5 day work week, matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the amount of time. how many total miles will they put on there cars in 28 work days?

Answers

Answer: the is  1560

Step-by-step explanation:

5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and  28 work days

After reviewing your model stock list, you discover a changing sales pattern over the last several months on the most popular style of jeans. The data note the following sales per month: August-75 units, September-95 units, October-130 units. Assuming your sales continue to grow at the avereage rate they did between August and October, what will your sales be in November?


a) 90
b) 105
c) 106
d) 158

Answers

Answer:

158

Step-by-step explanation:

If the average rate between August and October was on an increase, then November sales will be 158.

What is Rate?

This is defined as the quantity or amount of something which is measured per unit of something else.

From the stock list, the average rate kept increasing which means option D is the most appropriate choice.

Read more about Rate here https://brainly.com/question/2375289

#SPJ2

Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

A rectangular napkin has an area of 88 square centimeters and a length of 8 centimeters.

What is the width of the napkin?

Answers

11 centimeters
This is because a rectangle has an area of length times width and so you can divide 88 by 8 to get 11

Answer:

11 cm

Step-by-step explanation:

a= l x w

88= l x 8

88/8= 11

so ll cm is the width of the napkin

find the measure of the indicated angle to the nearest degree

Answers

Answer:

21.8014094864

Step-by-step explanation:

tan(x)= 4/10

=0.4

inverse tan(0.4)

21.8014094864

can someone help me with this question

Answers

the last one with four boxes of x over 24

A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?
A - 603.19 cm2
B - 245.04 cm2
C - 376.99 cm2
D - 188.50 cm2​

Answers

Answer:

245.04 cm

Step-by-step explanation:

Can any on help on 4-6 only please it would be grateful

Answers

Answer:

4. h=9in

5. 150.8[tex]m^{2}[/tex]

6. 301.6[tex]in^{2}[/tex]

Step-by-step explanation:

4.

Surface area of a rectangular prism form : A=2(wl+hl+hw)

Substitute in values from the question: 558=2[(9)(11)+h(11)+h(9)]

Multiply where applicable: 558=2[(99)+11h+9h]

Combine like terms: 558=2[(99)+20h]

Divide both sides by 2: 279=(99)+20h

*note- This step can also be seen as multiplying the right side by 2 without messing with the left at all (558=(198)+40h) then you would solve in the same fashion as I will from here just with the alternative numbering*

Subtract to isolate the h: 180=20h

Divide both sides to isolate the h: 9=h

Now we see that the missing dimension h=9in

*note- I did not bold the equations with squares so please don't be confused by that*

5.

Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]

Substitute in values from the question: A=2π(3)(5)+2π[tex]3^{2}[/tex]

Multiply were applicable: A≈94.2+56.5

Add remaining values: A≈150.8

Now we see that the total surface area is 150.8[tex]m^{2}[/tex]

*note- whenever we solve for volume or SA of a figure we square the unit ([tex]m[/tex]➞[tex]m^{2}[/tex])*

6.

Surface area of a cylinder form: A=2πrh+2π[tex]r^{2}[/tex]

Substitute in values from the question: A=2π(6)(2)+2π[tex]6^{2}[/tex]

*note- we use 6 instead of the given value 12 because the equation calls for the radius and not the diameter*

Multiply were applicable: A≈75.2+226.2

Add remaining values: A≈301.6

Now we see that the total surface area is 301.6[tex]in^{2}[/tex]

*note- whenever we solve for volume or SA of a figure we square the unit ([tex]in[/tex]➞[tex]in^{2}[/tex])*

Hope this helps :)

Complete the point-slope equation of the line through (1, -1) and (5,2).
Use exact numbers.
y-(-1) =

I need help

Answers

Answer: Y-(-1)= 3/4(x-1)

Step-by-step explanation:

*First find the slope*

y2-y1/x2-x1 ==> 2-(-1)/5-1 ==> 3/4

Point-slope form ==> y-y1=m(x-x1)

y-(-1)=3/4(x-1)

Which equation can be used to find the value of x?
109=180
x+42=67
x=180-109
42+67-x=180

Answers

Answer:

C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

42 + 67+ 71 = 180. We also know 67 + 42 = 109.

Lets look at our answers;

A. 109 = 180 + x  When solved it gave me; x = -71. We got a positive 71 so this is incorrect.

B. x + 42 = 67   When solved it gave me;  x = 25, which is incorrect.

C. x = 180 - 109 When solved it gave me; x = 71

D. 42 + 67 - x = 180 When solved it gave me; x =  - 71

Therefore the answer is C.

what is the anwser for 7x−x

Answers

Answer:

6x

Step-by-step explanation:

7x - x

6x

Solve the system using substitution. y = 2x + 10
y = x + 8
A. ( 6, 14)
b. ( 2, 14)
C. (2, 10)
D. (-2,6)

Answers

Answer:

Hi! The answer to your question is D. (-2, 6)

Step-by-step explanation:

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☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

The answer is D. (-2,6)

Maria says that the solutions of the inequality are y. ​Find, describe, and correct the error in Maria​'s ​work, shown here.

Answers

Answer:

Y=-1

Step-by-step explanation:

 2(2y-1)<-6

 4y-2<-6

  4y<-6+2

  4y< -4

   y< -1

A line is perpendicular to y = 3x - 8
and intersects the point (6, 1).
What is the slope of this
perpendicular line?
A. 3
B. 1/3
C. -3
D. -1/3

Answers

Answer:

D) -1/3

Step-by-step explanation:

Perpendicular slope (m) = -1/3

Perpendicular slopes are negative recipricals so:

3 ---> -1/3

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