Find the accumulated value of an investment of $2000 at 8% compounded continuously for 4 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 & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]


Related Questions

Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:

Answers

Answer:

x intercept: (3/2, 0), y intercept: (0, -3)

Step-by-step explanation:

Drag each relation to the correct location on the table. Classify the relations according to whether or not they are functions.

Answers

they are all functions

In February Lana got a puppy that weighed 13 kilograms. By October the puppy weighed 16.9 kilogram. What was the puppy’s weight increase?.

Answers

16.9 minus 13 equals to 3.9 increase

Answer:

3.9

Step-by-step explanation:

16.9 take away 13 and you get 3.9 kilograms

In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.

Answers

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

Select all ratios equivalent to 5:3.
13:9
9:15
20:12

Answers

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

It takes Shawn 4 more hours to stain a deck than Michelle. Together it takes them 4.8 hours to complete the work. How long would it take Shawn to stain the deck by​ himself?

Answers

Answer:

4.4 hours

Step-by-step explanation:

It would take Shawn 4.4 hours, as this would give a time of .4 hours to Michelle, totaling 4.8 hours

9.
Write the equation of the parabola in vertex form.



A. y = (x – 2)^2 + 4

B. y = x^2 – 4

C. y = (x – 2)^2

D. y = (x – 4)^2 – 4

Answers

Answer:   The Answer Is NOT Letter A

C. y = (x – 2)^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 0 )  =Already in vertex form.   y = ( x − 2 ) ^2

Step-by-step explanation:  I used math.way

A. y = (x – 2)^2 + 4  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 4 )  =Already in vertex form.   y = ( x − 2 ) ^2 + 4

B. y = x^2 – 4  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 0 , − 4 )  =Find the vertex form.   y = ( x + 0 ) ^2 − 4

C. y = (x – 2)^2  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 2 , 0 )  =Already in vertex form.   y = ( x − 2 ) ^2

D. y = (x – 4)^2 – 4  = Rewrite in vertex form and use this form to find the vertex  ( h , k ) .   ( 4 , − 4 )  =Already in vertex form.   y = ( x − 4 ) 2 − 4

100 POINTS ANSWER PLZ

On saturday endsay walked 3 1/2 miles in 1 2/5 hours what was her walking pace in miles per hour? write in somplest form

Answers

Answer:

2 1/2 mph

Step-by-step explanation:

Answer:

4 9/10

Step-by-step explanation:

trust me i tried posting a pic of my work but it wont load but it is 4  9/10

Should the United States return to a gold standard? Why?

Answers

Answer:

No

Step-by-step explanation:

If the U.S goes in a gold standard it can put the whole state in a crises

figure b is a scaled copy of figure a

Answers

Step-by-step explanation:

figure B is a scaled copy of figure B

by scale factor : 1/2

What is 15 with exponent 1/3 in radical form?

Answers

Answer:

[tex]\sqrt[3]{15}[/tex]

Step-by-step explanation:

15^(1/3) in radical form is [tex]\sqrt[3]{15}[/tex]

To express 15^(1/3) in radical form, we have to first understand what radical form is. It is the expression in a form whereby there exists no fraction and or square roots again. And thus, we have to eliminate the power in this question.

15^(1/3) = 15 which when simplified further, we get [tex]\sqrt[3]{15}[/tex]

Have the best day ever! :D

Where is the blue point on the number line ?

Answers

Answer:

-20

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

one period is 5, so -5×4 = -20

will give 25 points if right

Answers

The slope of the equation is 1/6

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

Abigail earned $10.26 for babysitting her cousin for 3 hours. How much did she earn in each hour?

Answers

Divide total earned by number of hours:

10.26/3 = $3.42

She earned $3.42 per hour

Each hour she earns $3.42

solve for x and y then find the measure of each angle ​

Answers

Step-by-step explanation:

∵ MP is a straight line.

∴ ∠MNQ + ∠PNQ = 180°

[tex](3y + 8)° + (3y + 22)° = 180° \\ 3y + 8 + 3y + 22 = 180 \\ 6y + 30 = 180 \\ 6y = 150 \\ y = 25[/tex]

∵ MP is a straight line.

∴ ∠MNR + ∠PNR = 180°

[tex](2x + 5)° + (3x - 55)° = 180° \\ 2x + 5 + 3x - 55 = 180 \\ 5x - 50 = 180 \\ 5x = 230 \\ x = 46[/tex]

Plot the image of quadrilateral ABCD under a reflection across line L

Answers

                          hope this helps                                    

Step-by-step explanation:

The coordinates of the reflection of a point (x, y), across the y-axis is the point (-x, y)

Please find attached the plot of the image of quadrilateral ABCD under a reflection of the line l

Method:

The coordinates of the vertices of the given quadrilateral ABCD are as follows

A(-2 0), B(-3, 4), C(0, 4), and D(-1, 1)

Due to its orientation, the line l can be taken as being equivalent to the y-axis

The coordinates of the image of (x, y) following a reflection across the y-axis is (-x, y)

Therefore, for the image of the quadrilateral ABCD following a reflection across the y-axis to give the quadrilateral A'B'C'D', the coordinates of A'B'C'D' are;

A(-2 0), reflected across the y-axis gives the image A'(2, 0)

B(-3, 4), reflected across the y-axis gives the image B'(3, 4)

C(0, 4), reflected across the y-axis gives the image C'(0, 4)

D(-1, 1), reflected across the y-axis gives the image D'(1, 1)

The coordinates with which the image of the of the quadrilateral ABCD can be plotted are therefore;

A'(2, 0), B'(3, 4), C'(0, 4), and D'(-1, 1)

The plot of the quadrilateral ABCD and the image A'B'C'D' can be created using MS Excel presented in the attached graph

Learn more about transformations here:

brainly.com/question/21388875

laminiaduo7 and 1 more users found this answer helpful

What is 162 multiplied by 0.967

Answers

The answer would be 156.654

Answer:

Remove the decimals and multiply normally.

162 x 967

156654

Put back in the decimals. In this case, move the decimal point back three spaces from the end.

156.654

:)

A 52-centimeter-long board is cut into 3 pieces. The longest piece is twice as long as the shortest piece. The other piece is 4 cm longer that the shortest piece. How long is each piece?

Answers

Answer:

4c 6th fastest 9.I gghiii

Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. a. How many business owners in the survey plan to provide a holiday gift to their employees this year

Answers

The business owners that would provide a holiday gift to their employees this year is 21.

Percentage are a measure of frequency. It is the fraction of an amount that is usually expressed as a number out of hundred.

In order to determine the business owners that would provide a holiday gift to their employees this year, multiply the percentage of business owners that indicated they plan to give gifts by the total number of people surveyed.

35% x 60

0.35 x 60 = 21 people

To learn more about percentages, please check: https://brainly.com/question/92258

What is a common denominator for 1 3/4 and 1 4/5

Answers

Answer:

20

Step-by-step explanation:

A common denominator is a number that is a multiple of both denominators.

To find it just write the multiplication table of the numbers and find a number that appears in both of them.

In this case, we have 4 and 5:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

5, 10, 15, 20, 25, 30, 35, 40, 45, 50

Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.

[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]

For any right triangle, the sum of the sqaures of the legs is equal to the square of the hypotenuse

Answers

Answer:

Pythagorean Theorem. The Pythagorean theorem states that in any right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs of the right triangle. This same relationship is often used in the construction industry and is referred to as the 3-4-5 Rule.

Ms. McCullough bought a bunch of bananas. If she ate 2/8
the bananas and Mrs. Byrd ate 1/4, what fraction of bananas
remains?

Answers

Answer:

1/2

Step-by-step explanation:

that's the answer because 2/8-1/4 is 1/2

What is 64 minutes (1 hour and 4 minutes) as mixed number? I'm pretty sure its something like this:
[tex]1 \frac{?}{?} [/tex]
but I don't know for sure

Answers

Answer: 1  4/60

Step-by-step explanation

64 is greater then 60 . 60 = 1 hour so  64 minutes = 1 whole 4 over 60

Answer:

1 1/15.

Step-by-step explanation:

1 4/60

= 1 1/15.

what is the area of the soccer field if x=40m?
base is 2x+20
height is x+20

Answers

2(40)+20 = 100m
40+20= 60m
100x60= 6000m

What is 3 4/5÷(−1 1/10)?

Write the answer as a mixed number in simplest form.

Answers

Step 1:(Not really helpful or important) I just follow the rules of BODMAS.B for bracket O for Of D for division M for multiplication A for addition and S small quiz in comment pls
I converted -11/10 to -1 1/10
Then I did 3 4/5 divided by it
Hope I help pls answer the quizzzz

The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon



• n = 4



• n = 6



• n = 10



• n = 15

Answers

Answer:

The number of sides of the regular polygon is 10

2, 10 after a dilation by a scale factor of 1/2 centered at the
origin?

Answers

Answer:

  (1, 5)

Step-by-step explanation:

When the center is the origin, the dilation factor multiplies each coordinate:

  (2, 10) ⇒ (1/2)(2, 10) = (1, 5)

pocket folders are $0.39 each at the store. If Carolyn paid $7.02, how many did she buy?

Answers

Answer:

18 pocket folders

Step-by-step explanation:

divide 7.02 by .39

Please help! Only answer if correct.

Answers

After driving x miles, the first plan costs

60 + 0.70x

dollars, while the second plan costs

0.80x

dollars.

The plans cost the same when these prices are equal:

60 + 0.70x = 0.80x

Solve for x :

60 = 0.80x - 0.70x

60 = 0.10x

x = 60/0.10

x = 600

Tutori
A decade ago, the average class size at Belmont Middle School was 30 students. Now it is
40% larger. What is the average class size currently?
PLS HELP

Answers

Answer:

42 students

Step-by-step explanation:

Initial class size = 30 students

Class size now is 40% larger:

30 + 40% = 30 + 30*40/100 = 30 + 12 = 42

First let's find larged amount

[tex]\\ \sf\longmapsto 40\%\:of\:30[/tex]

[tex]\\ \sf\longmapsto 0.4(30)[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Class size=30+12=42students

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