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

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


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

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:

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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

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.

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

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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 :(

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.

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



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

please help i will name brainiest

Answers

Answer:

Step-29 (86by-step explanation:

4,0000000000×10,00000000

Answers

Answer:

yes 40

Step-by-step explanation:

she got it correct

Find the m D
55
35
В

Answers

Not answere just need point srry

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

Find x in the equation?

Answers

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

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]

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:

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

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

need this done fast pls.

Answers

Answer:

45°

Step-by-step explanation:

85 + 50 + ? = 180

? = 180 - 85 - 50

? = 45

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:

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

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.

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

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

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:

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

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:

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

Help me pleaseeeeeeeeeeeeeeeeee

Answers

The answer is 0.06 meters
0.06 meters is the answer
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