Dan invests $8.911 in a retirement account with an interest rate of 7.71%
compounded continuously. What will the account balance be in 20 years.

Answers

Answer 1

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8911\\ r=rate\to 7.71\%\to \frac{7.71}{100}\dotfill &0.0771\\ t=years\dotfill &20 \end{cases} \\\\\\ A=8911e^{0.0771\cdot 20}\implies A=8911e^{1.542}\implies A\approx 41649.38[/tex]


Related Questions

pls help this is super hard. i really appreciate it

Answers

Answer:

e,4,14

Step-by-step explanation:

The answer is e, 4 and 14.

4. Some students who are in chorus also
take singing lessons. If Adam is in Chorus
and takes singing lessons, shade the
area where Adam would belong.
Chorus
Singing
Lessons

Answers

Answer:

shade the area where circles overlap

Answer:

Shade the middle section.

Step-by-step explanation:

Venn-diagrams show what is the same or different. Adam does both chorus and singing lessons. The part of the diagram where the circles cross in the middle is what you would shade in because that section represents both chorus and singing lessons.

A triangle is reflected over the y-axis. Which drawing shows a correct reflection?
A
B
С
D
А A
B
oc
D

Answers

Answer:

C

Step-by-step explanation:

Answer:

The answer your looking for is (most likely) C.

Step-by-step explanation:

If you had a mirror on the y-axis, the reflection of the pre-image triangle would be the image. The y-axis, called the line of reflection, is the line of symmetry for the two triangles. Triangle 1 is called the pre-image, and the reflected triangle is called the image.

Solve 2y−18x=−26 for y.

Answers

divide by two on both sides. y=-13+9x
Answer:
y=-13+9x

Explanation:
Please see the picture attached!
I hope this helps! Please comment if you have any questions.

Find the difference: 3 4/6 - 1/6

Answers

Answer:

7/2  but as a mixed number 3 1/2

Step-by-step explanation:

Answer:

3 1/2 or 3 3/6

Step-by-step explanation:


how do you write this in slope intercept form i don’t know

Answers

Answer:   y = [tex]-\frac{2}{1.5}[/tex]x + 15

Step-by-step explanation:

Slope intercept form is written as y = mx + b, where m is the slope and b is the y- intercept.

2.00x + 1.50y = 15

             1.50y = -2.00x + 15

                    y = [tex]\frac{-2}{1.5}[/tex]x + 15  

PLEASE HELPPPPP ASAPPPPP

Answers

Try this and if it doesn't help you I will give you the answer straight to you

The formulas for calculating changes in the money supply are as follows. Firstly, Money Multiplier = 1 / Reserve Ratio. Finally, to calculate the maximum change in the money supply, use the formula Change in Money Supply = Change in Reserves * Money Multiplier.

Find the quotient: 60 ÷ 30 =

Answers

Answer:

2!!!!!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

do 6/3 easy as pie! (not pi)

need more points ??? solve this .....only first part for 50 points .....and follow me also!​

Answers

Answer:

see below

Step-by-step explanation:

i.

= √(3 + 4i)

= 2 + i

ii.

= √(-8 + 6i)

= √2(-4 + 3i)

iii.

= √(-40 - 42i)

= √-2(20 + 21i)

iv.

= √i

= √i

v.

= [tex]\sqrt{\frac{2 + 3i}{5 - 4i} } +\sqrt{\frac{2-3i}{5+4i} }[/tex]

= [tex]\sqrt{\frac{-2+23i}{41} } +\sqrt{\frac{2-3i}{46} }[/tex]

Answer:

ok iam follow

Step-by-step explanation:

Mark as brainleist answer

Examine this multiplication problem. 3 2 5 × 1 2 Which are equal to the product? Check all that apply.

Answers

Answer:

17/10, 1 and 7/10

Step-by-step explanation:

Find the complement of ∠DEF.

Answers

Answer:  Choice B) 14 degrees

Explanation:

Complementary angles add to 90 degrees

This means the answer we're after is 90 - (angle DEF) = 90-76 = 14

Answer is B

Complement means two angles that have the sum of 90°

90 - 76 = 14

so that would mean 14° is the correct answer

Person A can paint the​ neighbor's house 3 times as fast as Person B. The year A and B worked​ together, it took them 10 days. How long would it take each to paint the​ house?

Bro I don't know if I'm dumb or not but I literally can't figure this out. Please help my struggling self wcdfvrd

Answers

Answer:

A: 13 1/3 daysB: 40 days

Step-by-step explanation:

If person A can paint the house in 'a' days, then person B takes 3a days. Each day, the total amount of house painted when they work together is ...

  1/a + 1/(3a) = 1/10

  4/(3a) = 1/10 . . . combine terms

  40 = 3a . . . . . . . cross multiply

  a = 40/3 = 13 1/3 . . . . . divide by 3

A can paint the house in 13 1/3 days.

B can paint the house in 40 days.

The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. City C and City D are 3.15 feet apart on this map. What is the actual distance between City C and City​

Answers

Answer:

300 miles

Step-by-step explanation:

200/2.1= 95.238...

95.238...*3.15=300

Hope this helps :)

The actual distance between City C and City​ D will be 300 miles.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The distance between City A and City B is 200 miles. A length of 2.1 feet represents this distance on a certain wall map. Then the scale factor is given as,

Scale factor = 200 / 2.1 miles per foot

City C and City D are 3.15 feet apart on this map. Then the actual distance is given as,

Distance = 3.15 x 200 / 2.1

Distance = 1.5 x 200

Distance = 300 miles

The actual distance between City C and City​ D will be 300 miles.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

here is a list 31 29 33 37 43 38 33 40 find the mode in number of list and work out on mean

Answers

Answer: Mode = 33, Mean = 35.5

Step-by-step explanation: The mode is whatever number appears the most.

To find the mode, first put the numbers in order from least to greatest.

29, 31, 33, 33, 37, 38, 40, 43

In this case, 33 appears the most, so the mode is 33.

The mean is the average of all of the numbers.

Firstly, add up all of the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

Now that you have all of them added up, divide the final sum by the number of numbers you have in the list. In this case, you have 8 numbers.

284/8 = 35.5

Your mean is 35.5

Answer:

Mode = 33

Mean = 35.5

The mode is whatever number appears the most.

to find the mean:

add all the numbers:

29 + 31 + 33 + 33 + 37 + 38 + 40 + 43 = 284

divide that by the number of numbers you have in the list.

284/8 = 35.5

mean = 35.5

(a+4)-[12-(a+2)-(a+2)

Answers

Answer:

a=4/3

Step-by-step explanation:

Opening the brackets,

a+4-12+a+2+a+2

3a=4

∴a=4/3

Which of the following is equivalent to 5x + 7 = 6y?
А
5z+6 = 7
B
5z+6y = -7
C
5X- 6y =7
D
5x - y = -7

Answers

Answer:

c

Step-by-step explanation:


If 10 is decreased to 5, the decrease is what percent of the original number?

Answers

Answer:

50

Step-by-step explanation: love uuuuuu

For the crazy pizza portfolio I just need the formulas to prove that my pizza can fit inside the box I already have A=pi r2 now I just need the rest

Answers

To prove that the pizza fits inside the box we need the formula for the area of a square, to identify the area of the box and to know if the pizza fits inside the box.

How to calculate the area of the box (area of a square)?

To calculate the area of a square we must apply the following formula:

Length of square × base of square = area of square ²

According to the above, if we have a pizza with a radius of 30cm, its area would be:

A = 3.14 × 15²A = 706.5 cm²

So we would need a box with a side length of at least 30cm. Its area would be:

30cm × 30cm = 900cm²

So for a 706.5cm² pizza, we need a 900cm² box.

Learn more about area in: https://brainly.com/question/16151549

SOMEONE PLEASE HELP ME IM GONNA FAIL

The wind force F on a sail varies jointly as the area A of the sail and the square of the wind speed w.
The force on a sail with area an area of 500 P? is 64.8 pounds when the wind speed is 18 mph. What
would be the force for a sail with an area of 250 f2 with a wind speed of 35 mph.

Answers

Answer:

405 pounds

Step-by-step explanation:

How to find the perimeter and area of 7.7m, 2.8m, 9.7m, 4​

Answers

Perimeter=34.8m
Area=49.16m^2

Answer: perimeter = 26.8

              area = 49.16

Step-by-step explanation:

perimeter:

Rectangle one:

add 9.7 + 9.7 + 4 + 4 because there is 4 sides = 27.4

Rectangle 2:

2.8 + 2.8 + 3.7 +3.7 = 13

Add them together: 27.4 + 13 = 40.4

           

area :

rectangle one:

multiply 4 x 9.7 = 38.8

rectangle two:

multiply 3.7 x 2.8 = 10.36

add them together: 10.36 + 38.8 = 49.16

radius of a cylideical water tank is 5ft, and it's height is 9ft. What is the exact volume of the tank in terms of π

Answers

Answer:

225 pi

Step-by-step explanation:

Take note.

V= volume

r = radius

h = height

Formula for Volume of Cylinder

[tex]V=\pi r^{2}h[/tex]

[tex]V=\pi* 5^{2}*9[/tex]

[tex]V=706.85835[/tex]

Now in terms of pi.

[tex]\frac{706.85835}{\pi } =225[/tex]

225 pi

I just need the answer please n thank u<3

Answers

Answer:

C.  [tex]x=-9 \textsf{ and }x=1[/tex]

Step-by-step explanation:

[tex](x+4)^2=25[/tex]

[tex](x+4)(x+4)=25[/tex]

expand the brackets:

[tex]x^2+8x+16=25[/tex]

subtract 25 from both sides:

[tex]x^2+8x-9=0[/tex]

factor:

[tex]x^2+9x-x-9=0[/tex]

[tex]x(x+9)-1(x+9)=0[/tex]

[tex](x-1)(x+9)=0[/tex]

solve for x:

[tex]x-1=0 \implies x=1[/tex]

[tex]x+9=0 \implies x=-9[/tex]

What is the value of p in this proportion?

5/6 2/3
----- = ------
P 1/2

Enter your answer as a simplified
fraction.

p=

Answers

If the formatting should be [tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex], then this should be correct.

Answer:

p = [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{\frac{5}{6} }{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex]                 [Given]

[tex]\frac{5}{6} *\frac{1}{p} =\frac{\frac{2}{3} }{\frac{1}{2} }[/tex]            [Keep, change, and flip on the left side]

[tex]\frac{5}{6} *\frac{1}{p} =\frac{2}{3}*2}[/tex]       [Keep, change, and flip on the right side]

[tex]\frac{5}{6} *\frac{1}{p} =\frac{4}{3}}[/tex]            [Simplify the right side]

[tex]\frac{5}{6p}=\frac{4}{3}}[/tex]                [Simplify the left side]

6p * 4 = 5 * 3    [Cross multiply]

24p = 15            [Simplify]

p = [tex]\frac{15}{24}[/tex]                 [Divide both sides by 24]

p = [tex]\frac{15/3}{24/3}[/tex]              [Simplify the fraction]

   p = [tex]\frac{5}{8}[/tex]              [Answer]

Edna is an elephant at the zoo her eating habits have been studied in detail it has been determined that she spends about 14 hours per day eating. How many hours would she have spent eating in the month of july

Answers

Answer: 434 hours

Step-by-step explanation:

31(days) x 24(hours in a day) = 744

31(days) x 14(hours spent eating) = 434

Answer:

I came up with 434 hours for the month of July

Step-by-step explanation:

Well, you find the days of July which is 31, then multiply that by 14, the hours she spends eating a day.

I'm so sorry if it's wrong. Good luck!

Please mark brainliest!

PLEASE ANSWER BUT TAKE YOUR TIME.

Write an equation for a polynomial with all the following features:


a. The degree is 5.


b. The polynomial has 4 terms.


c. The graph of the polynomial crosses the vertical axis at Y = 12 .


Identify the approximate input values of any relative maximums and minimums of this 5th degree polynomial.

Answers

Answer:

Step-by-step explanation:

(x-1)^5 = x^5 - 5x^4 + 15x^3 - 15x^2 + 5x - 1

That has 6 terms, so let's get rid of the two middle ones.

f(x) = (x-1)^5 - 15x^2(x-1)

Now, f(0) = 1, but we want f(0) = 12

So, let

f(x) = 12((x-1)^5 - 15x^2(x-1)) = 12x^5 - 60x^4 + 60x - 12

As for the graph, it looks like

y = (x+4)(x+2)(x-1)^2(x-6)

The extrema appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of the polynomial is 5.

The polynomial has 4 terms

So (x-1)⁵ = x⁵ - 5x⁴ + 15x³ - 15x² + 5x - 1

Let's eliminate the two middle terms from it, which has six.

f(x) = (x-1)⁵ - 15x²(x-1)

Given that the graph of the polynomial crosses the vertical axis at Y = 12

So, substitute f(0) = 1, but we determine f(0) = 12

So, let f(x) = 12((x-1)⁵ - 15x²(x-1)) = 12x⁵ - 60x⁴ + 60x - 12

As for the graph, it looks like

So the approximate input values of relative maximums and minimums of this 5th-degree polynomial :

y = (x+4)(x+2)(x-1)²(x-6)

The relative maximums and minimums of this 5th-degree polynomial appear to be at about (-3,1), (-1,-1), (1,0), (4,-9)

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ2

solve this for me please and thank you

Answers

the correct answer is b: 126

A pie chart shows the number of rabbits 900, sheep 700, cattle 300 and pigs 500 What angle represent the number of sheep on the farm

Answers

Step-by-step explanation:

total number of animals on the farm is

900+700+500+300=2,400

angle for sheep will be

(700/2,400)*360=105°

Which term has the definition "A two dimensional surface on which we can graph points"? A Origin B Quadrant. C Abscissa D Coordinate Plane​

Answers

Answer:

Coordinate Plane (D)

Step-by-step explanation:

A Coordinate Plane is a two dimensional surface where you can graph points. Please let me know if I'm wrong, have a good day

Which equation represents this sentence?
Four times the sum of a number x and a number y is equal to 20.
4xy = 20
4x + y = 20
O 4(x + y) = 20
4 + x + y = 20

Answers

Answer:

4(x+y)=20

Step-by-step explanation:

determine the y- intercept of 3x+2y=9

Answers

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Answer:

[tex]\boxed{(0 , 4.5)}[/tex]

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5

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