A person places $1380 in an investment account earning an annual rate of 8.6%,
compounded continuously. Using the formula V = Pent, where Vis the value of the
account int years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 10 years.

Answers

Answer 1

Answer:

3261.16

Step-by-step explanation:

r=8.6\%=0.086

r=8.6%=0.086

Move decimal over two places

P=1380

P=1380

Given as the pricipal

t=10

t=10

Given as the time

V=Pe^{rt}

V=Pe

rt

V=1380e^{0.086( 10)}

V=1380e

0.086(10)

Plug in

V=1380e^{0.86}

V=1380e

0.86

Multiply

V=3261.1618\approx 3261.16

V=3261.1618≈3261.16


Related Questions

1. Slope: (put your answer in the form 3/4)

Answers

Answer:

1/4x

Step-by-step explanation:

The slope of any graph can be determined with the same formula

Change in Y

Change in X

Fill in the fraction

1

4

Thats how you get the slope.

I hope this helps!

pls give brainliest and thanks

Geoff earns $9.25 per hour before taxes, and he works 40 hours per week. Geoff's employer withholds (takes out) 10.65% of geoff's income for taxes. What are geoff's total weekly earnings after taxes are withheld?
A) $ 39.41
B) $59.90
C) $ 330.60
D) $ 370.00

Answers

Answer:

a

Step-by-step explanation:

Solve for x.
Round to the nearest hundredth if necessary.

Answers

Answer:

4.24

Step-by-step explanation:

By geometric mean property

[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]

Write a polynomial expression that represents the total area of a square with a side length of (3x - 4).

Answers

We now that in order to calculate the area of a square we use the formula a^2

Where a=length of the side

So (3x-4)^2 that is the same as (3x-4)(3x-4)

Then just multiply each term by each term

The answer is 9x^2 - 24x + 16



Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more than the previous week, except in the last week, when she reaches $900. To have a final sum of exactly $900, how much money does Dreya need to save in her final week of saving?
$13
$60
$70
$73

Answers

Answer:

$ 60

Step-by-step explanation:

hope it helps!

.....

Answer:

It is B

Step-by-step explanation:

Got it right on unit review

I need 1 more credit to pass my class!

Answers

Answer:

the answer is 3

Step-by-step explanation:

you piece of garbage im tryna help why u report me

Which subtraction problem does NOT require zero pairs to solve using chips ? ( PLEASE ANSWER ASAP )

Answers

Answer:

c.

Step-by-step explanation:

Answer:It is not C

Step-by-step explanation:

need this done fast pls.

Answers

Answer:

45°

Step-by-step explanation:

85 + 50 + ? = 180

? = 180 - 85 - 50

? = 45

Annie's ant population doubles every week.
After 3 weeks of doubling, how many ants will she have if her colony
started with 50?

Answers

Answer:

400.

Step-by-step explanation:

50 doubles to 100 for the 1st week. 100 becomes 200 the 2nd and 400 for the 3rd week.

Answer:

400

Step-by-step explanation:

just did the work

What’s 2/2 x 5/6 plz help me

Answers

Answer:

5/6

Step-by-step explanation:

2/2 = 11 × 5/6 = 5/6

I hope this helps!

5/6 because 2/2 would equal 1 and 1 times and number always ends up the same

Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.

2/4 =5/x

x =

Answers

2/4 = 5/x <=>

2x = 5*4 <=>

2x = 20 <=>

x = 20/2 <=>

x = 10

If a+b/a-b=5/3, what are the following ratios? 2a-4b/a-2b

Answers

Answer:

Hope this may helps you

The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The value is,

⇒ (a + b )/ (a-b) = 5/3

Now, We get;

⇒ a + b = 5

⇒ a - b = 3

Hence, By solving above equation,

a = 4

b = 1

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ (2a - 4b) / (a - 2b)

⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)

⇒ (8 - 4) / (4 - 2)

⇒ 4 / 2

⇒ 2

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ2

I need help please lol

Answers

Answer:

b d f  i think sorry if this doesnt help but have a great day :)

Step-by-step explanation:

g(x) = x^2 + 55
What is the minimum value of the given function?​

Answers

Answer:

Step-by-step explanation:

55.

The solution is, the function doesn't have a minimum value.

What is derivative?

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the function is,

g(x) = x^2 + 55

now, we have to find the min. value of the function.

so, we have,

g(x) = x^2 + 55

the 1st order derivative is,

g'(x)= 2x

now, we have, critical point, at g'(x)= 0

i.e. at 2x = 0

or, x = 0

so, min. value is at x= 0 of g''(x),

i.e.  g''(x) = 2

so, it doesn't have any minimum value.

Hence, The solution is, the function doesn't have a minimum value.

To learn more on derivative click:

brainly.com/question/12445967

#SPJ2

Find the m D
55
35
В

Answers

Not answere just need point srry

Help me pleaseeeeeeeeeeeeeeeeee

Answers

The answer is 0.06 meters
0.06 meters is the answer

please help i will name brainiest

Answers

Answer:

Step-29 (86by-step explanation:

failed my elementary statistics college class, 1st semester, can i retake the same class? or no

Answers

Answer:

I think you can

Step-by-step explanation:

Answer:

I think you can take it in the next semester

Step-by-step explanation:

Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3 5 over 2 and 2 over 7 4 over 5 and 4 over 3 5 over 2 and 4 over 5 2 over 7 and 4 over 3 my friend needs help

Answers

Answer:

I hope this helps!!

Step-by-step explanation:

We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4

To find : which are terminating decimal

Terminating decimals are those whose figures to the right of some place are zero or  have an end.

Solution : we check one by one,

1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating

2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating

3) 3 over 2 = 3/2 = 1.5 - Terminating

4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating

I'm sorry if this is wrong :(

April bought a 5 pound bag of flour. If 1 pound equals 16 ounces, how many ounces of flour did April purchase?

Answers

Answer:

80 ounces

Step-by-step explanation:

5x16=80

Player pays a fee, then reaches into a large jar and picks out a ball. The jar contains one ball for each letter of the alphabet. If the players picks out a ball with a vowel on it, the player wins 200 dollars. If the player picks out a ball with a consonant on it, the player wins nothing. What fee should be charged to play this game in order for it to be considered a fair game?

Answers

Answer:

€4.20

Step-by-step explanation:

the have a 5 in 26 chance in winning so 26(letters in alphabet) - 5(vowels) =21

21÷5 =4.2

4,0000000000×10,00000000

Answers

Answer:

yes 40

Step-by-step explanation:

she got it correct

At 5:00 p.m., Antonio turned on the oven. While the oven preheated, the temperature in the oven increased from 72°F to 400°F over a 10-minute period. The oven remained at 400°F for 45 minutes until Antonio turned it off. It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m. Which statement best explains whether or not the temperature in the oven is a function of the time?

Answers

Answer: It is a function because at any given time the oven was exactly one temperature.

Step-by-step explanation:

It is given that:

At 5:00 p.m., Antonio turned on the oven.

The oven remained at 400°F for 45 minutes until Antonio turned it off.

It took 60 minutes for the temperature in the oven to cool, returning to 72°F at 6:55 p.m.

2x+5=13


Help me out please

Answers

Answer:

4

Step-by-step explanation: 2x+5=13

                                                  -5   -5

                                                   2x=8

                                                   /2     /2

                                                      x=4

Answer:

X = 4

Step-by-step explanation:

Subract 5 from 5 and 13

Simplify: 2x = 8

divide both sides of the equation by the same term 2x/2 8/2

which gets you x = 4

Which math expression means "33 more than an unknown number"?
O A. 33. x
O B. X-33
O C. X+33
O D. X=33

Answers

C is the answer it’s supposed to be X+33

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.

Answers

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :

[tex]s(t)=6+2t+t^2[/tex] ...(1)

(a) We need to find velocity at t = 4 seconds

Differentiate equation (1) wrt t.

[tex]v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t[/tex]

At t = 4 seconds,

[tex]v=2+2(4)\\\\=10\ ft/s[/tex]

At t = 4 seconds, the velocity is 10 ft/s.

(b) When the balloon is 50 feet above the ground,

[tex]6+2t+t^2=50[/tex]

We need to find t.

[tex]6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0[/tex]

It is a quadratic equation,

t = 5.708 and t = -7.708

Neglecting negative time, the instant time is 5.708 seconds.

Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15​

Answers

Answer:

15 i think 15 or 9 is the answer


The weighted mean of the variables 2,5,8,10 with weights 1,3,1,2 is...

6.2

O 6.4

O 1.4


which one ?​

Answers

The weighted average of 4 entered numbers is 6.4286 so its b 6.4

Find x in the equation?

Answers

Its 9cm do not mind the K.E (top answer).

a local libary has 2500 fiction books and 5000 nonfiction books what is the nonfiction to fiction ratio in the libary?

Answers

Answer:

Step-by-step explanation:

5000 nonfiction and 2500 fiction

ratio is 5000/2500=2

ratio is 2:1

The correct answer is that the ratio is 2:1. I hope this helps.
Other Questions
AHAHA KENMA SUPREMACY Why do you think the two nations that are most diverse in natural resources are also the richest countries in the Tropic al North? (The Enlightenment and Revolution: Constitutional Versus Absolute Monarchies MC)Which of the following explains the importance of the Magna Carta? (4 points)aIt created the first English parliament.bIt forced an absolute monarchy.It gave the English nobles total control.dIt made the parliament stronger.Question 1014 points) please explain steps Can anyone help me, please Hammers, screwdrivers, drills, and saws are _____ a construction worker uses.-tasks-skills-tools-qualifications X^2+7x=-49 what is x? Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit cubes in every unit cube. 12 1 Pls help. I don't know how to do this and pls don't answer if you don't know the answer. There are fewer fun games and apps being released these days. Opinion or Fact. Explain. Poems that focus on one image usually have what purpose? PLEASE HELP MEH!!A. to make readers understand how one event leads to anotherB. to make readers look at something in a new and different wayC. to make a point about how two or three things are alike I NEED HELP PLEASEwhat are the colonists protest during the quartering act? and What is the gist of their grievance? Help on this please what is an equivalent expression for (6 powered by 4)to -1 powered Can someone please explain to me how to do this WILL GIVE BRAINLIEST, 5 STARS, AND 15 POINTS BE QUICKDrag each label to the correct location.Match each development to the administration under which it took place.Bill of RightsAlien and Sedition ActsJudiciary ActKentucky and Virginia Resolutions Does anyone know how to do this? I will award brainliest when available to the person who gets most right Value of 5.3x10 4.2x10 scientific notation what is the volume of a spear with a radius of 7 What are some arguments that people give for taking down monuments that represent confederates or slave owners?