A person places $6520 in an investment account earning an annual rate of 2.5%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t 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 3 years

Answers

Answer 1

Answer:

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56

Step-by-step explanation:

The amount is given by

[tex]V = Pe^{rt}[/tex]

Given P = $6520

r = 2.5%

t = 3 years

Substituting the given values, we get -

[tex]V = 6520 * e^{2.5*3/100 }\\V = 6520 * 1.078\\V = 7028.56[/tex]

The amount of money, to the nearest cent, in the account after 3 years will be $ 7028.56


Related Questions

please can someone help me quickly? i will give brainliest (please no links)

Answers

I believe it’s for every 3 gallons of gas you buy it’s $10! An easy tip I recommend is looking for where the line lines up on the graph. I learned that has been very useful! Please comment if you have any questions!

after a car traveled 70 miles from its starting point the was still at least 500 miles from the end of the trip which inequality represents the total distance t of the trip from the starting point to the end​

Answers

Answer:

The answer to this inequality is 70<x<500

Answer:

t ≥ 570

Step-by-step explanation:

A television newscaster from a 24-hour news station wants to estimate the number of hours per day its
viewers watch programming on this channel. The newscaster randomly selects 100 viewers and asks them
how many hours per day they watch this station. The newscaster constructs an 85% confidence interval for
the true mean number of hours viewers watch this station. Which of the following would decrease the margin
of error?
using a sample of size 50
using a sample of size 200
constructing a 90% confidence interval
constructing a 95% confidence interval

Answers

Answer:

B, using a sample of size 200

Step-by-step explanation:

just got it right

Answer:

B.

Step-by-step explanation:

EDGE2022

What is the measure of angle XYZ?

Answers

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

Name 4 points that would form a square with the origin at is center.

Answers

9514 1404 393

Answer:

  (2, 3), (-3, 2), (-2, -3), (3, -2)

Step-by-step explanation:

You can pick any point you like, then rotate it around the origin to the four quadrants (or axes) by the transformation ...

  (x, y) ⇒ (-y, x) . . . . . . . . . 90° rotation CCW

That is a rotation 90° CCW. Of course a rotation CW can do the same thing for you.

__

One possible square is ...

     (2, 3), (-3, 2), (-2, -3), (3, -2)

question in screenshot

Answers

cosC would be C.12/13
Explanation: When you simply that’s the answer.

Smooth transitions in an informative essay_____
two paragraphs seamlessly.
A.connect
B.Separate
C.Divide
D.Classify

Answers

the answer is connect.
hope your day is good !!
The answer is connect good luck to you !

1. Determine the area under the standard normal curve to the left of z=2.10.

Answers

The answer is 0.982

In your calculator you need to go to 2nd distr and then normalcdf. Then enter the lower bound as -99, the upper bound as 2.1, mean as 0 and standard deviation as 1. Then press enter and you should get 0.982 as your answer :)

Country A has an exponential growth rate of 4.6​% per year. The population is currently 5,849​,000, and the land area of Country A is 38​,000,000,000 square yards. Assuming this growth rate continues and is​ exponential, after how long will there be one person for every square yard of​ land?

Answers

There will be one person per square yard when the number of people is equal to the number of square yards of the country.
In other words, we need to know when the population of the country will be 27,000,000,000.
We know that the population grows exponentially, so we use the exponential growth formula:

Where:
P is the population as a function of time
is the initial population
r is the annual growth rate
t is time in year.
The information we have allows us to conclude that:


So the exponential growth equation is:

We want to know when P = 27, 000,000,000.
So:

Now we solve for t, and as soon as we answer for t, the answer will be 189.66 years. Hope this helps! Mark brainly please!


Answer:

195.205998 years

Step-by-step explanation:

P=P0(1.046)^t   P=future population   P0=initial population  t=years passed

38,000,000,000 = 5,849,000(1.046)^t

1.046^t = 38,000,000,000/5,849,000

1.046^t = 38,000,000/5,849

plug in log on both sides

log 1.046^t = log (38,000,000/5,849)

t[log 1.046] = log (38,000,000/5,849)

t = In (38,000,000/5,849)/ In 1.046

t ≈ 195.205998 (hope this helps)

Omar the tent maker wishes to support a 13.4-ft tent wall by attaching 25-ft cable to the top of it, and then anchoring the cable to the ground. If the cable is pulled tight, how far from the base of the tent will it be anchored?

Answers

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

What is the approximate value of 12−−√ ?


3.5


2


6


4.5

Answers

The answer is 3.5. Do you need me to explain or is that ok?

Kim is evaluating the expression 20 - 3p + 1 when p=4. Which expression can Kim use to evaluate the expression correctly?

Answers

The answer is 20-8. Hope this helps plus mark brainly!

Answer:

20-3(4)+1

Step-by-step explanation:

Verify the following identity and show steps

(Cos2 θ)/(1+sin2 θ)= (cot θ-1)/(cot θ+1)

Answers

Answer:

Verified below

Step-by-step explanation:

We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)

In trigonometric identities;

Cot θ = cos θ/sin θ

Thus;

(cot θ - 1)/(cot θ + 1) gives;

((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)

Simplifying numerator and denominator gives;

((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)

This reduces to;

>> (cos θ - sin θ)/(cos θ + sin θ)

Multiply top and bottom by ((cos θ + sin θ) to get;

>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)

In trigonometric identities, we know that;

cos 2θ = (cos² θ - sin²θ)

cos²θ + sin²θ = 1

sin 2θ = 2sinθcosθ

Thus;

(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:

>> cos 2θ/(1 + sin 2θ)

This is equal to the left hand side.

Thus, it is verified.

Myrna is buying a new rug for her living room. What is the area of the rug, in square feet?
8 ft
12 ft
Ο Α. 40 ft2
O
B. 48 ft?
o
C. 80 ft2
D 96 ft2

Answers

Answer:

The answer is 96 square feet because if you look at the first rectangle (the one on the top left), you should multiply 5 times 6 which equals 30.

Answer:

(D), 96 square feet

Step-by-step explanation:

The formula for area is:

Length * Width = Area

Let's plug in the values:

8 * 12 = 96 square feet

Therefore, the answer is (D), 96 square feet. Hope this helps!

why wont u let me see the awner when it says "u have 12 awsners left"

Answers

Answer:

do you have an android if you do download the app its free no monthly payments like the web browser im using the app

A dog ran along a fence 10 times. The fence is 5 feet 3 inches long. How far did the dog travel? (12 inches = 1 foot

Answers

5 feet and 3 inches, 1 foot=12 inches, 12×5=60+3=63×5=315. so your answer is 315

Would it be possible to draw a triangle with the following side lengths?
7 feet, 9 feet, 13 feet

Answers

Answer:

it is not possible

Step-by-step explanation:

answer and show work and ill give brainliest

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The area of the semicircle is ...

  A = (1/2)πr²

  A = (1/2)(3.14)(4 m)² = 25.12 m²

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(12 m)(8 m) = 48 m²

Then the total area of the composite figure is ...

  total area = semicircle area + triangle area

  = 25.12 m² + 48 m² = 73.12 m²

_____

Additional comment

The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.

You should talk to your teacher about this question. None of the offered choices is correct.

A bag contains one red pen, four black pens, and three blue pens. Two pens are randomly chosen from the bag and are not replaced.
What is the probability that a blue pen is chosen first and then a red pen is chosen?
A. 1/7
B. 3/8
C. 3/56
D. 3/14

Answers

I think it is D. 3/14

Which of the following is not a term in the expression ​

Answers

C 9 because the only term with a 9 in it is 9f4g

The heights, in inches, of several seventh-grade students at Evan Mills Middle School are
listed below.
56, 50, 47, 55, 50, 51, 55, 45, 55, 49, 45, 44
Which box plot best displays these data?
AHHH
40 42 44 46 48 50 52 54 56 58 60
T
B
A+++
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60
40 42 44 46 48 50 52 54 56 58 60

Answers

No sé pero lo investigaré y te ayudaré ahora mismo

During week 3, Frank rode his bike about the same amount of time as week 1 and 2 combined. About how many hours did he ride his bike during week 3?

A 4 hours
B 4 hours
C 6 hours
D 7 hours

Answers

Answer:

6 hours

Step-by-step explanation:

3 1/4

+ 2 5/6 =

72/12 = 6

Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =|

Answers

Answer:

P(A or B) = 0.75

Step-by-step explanation:

Venn probabilities:

Supposing that we have two events A and B, the probability P(A or B) is given by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

In this question, we have that:

[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]

So

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.62 + 0.13 = 0.75[/tex]

Then

P(A or B) = 0.75

sketch the graphs using 3 points that belong to it y = -3x +2

Answers

Answer:

Step-by-step explanation:

Answer:

0,2

1,-1

2,-4

Step-by-step explanation:

HELP ME PLEASE......​

Answers

Answer:

reflective.

Step-by-step explanation:

this has a somewhat meaningful undertone, meaning it is not sarcastic or scholarly. It also is not arguementative because it is not agrueing anything.

In circle Q with the measure of minor arc PR = 48 , find m∠PSR.

Answers

The minor arc PR is 42 degrees

Answer: 24

Step-by-step explanation:

Will give brainly if answer is right

Answers

Answer:

28 degrees

Step-by-step explanation:

The given figure is an octagon. The sum of interior angles in an octagon is 1080. Thus, one can form an equation, add up all of the angle measures, and set the equation equal to 1080. Then simplify and use inverse operations to find the value of the parameter (t).

(150) + (3t + 34) + (5t) + (5t) + (3t + 37) + (7t - 49) + (5t - 16) + (5t) = 1080

Simplify,

33t + 156 = 1080

Inverse operations,

33t + 156 = 1080

      -156       -156

33t = 924

/33     /33

t = 28

ANSWER AS FAST AS YOU CAN

Answers

Answer:

D

Step-by-step explanation:

3 1/2 ---> 7/2

1 3/4 ---> 7/4

2 1/2 ---> 5/2

(7/2)(7/4)(5/2) = 245/16 = 15 5/16 ft³

Anyone know how to do the chart

Answers

Answer:

Step-by-step explanation:

divide 12 or 15

In August 2003, 56% of employed adults in the United States reported that basic mathematical skills were critical or very important to their job. The supervisor of the job placement office at a 4-year college thinks this percentage has increased due to increased use of technology in the workplace. He takes a random sample of 30 employed adults and finds that 21 of them feel that basic mathematical skills are critical or very important to their job.

Required:
Is there sufficient evidence to conclude that the percentage of employed adults who feel basic mathematical skills are critical or very important to their job has increased at the a = 0.05 level of significance?

Answers

Answer:

Yes

Step-by-step explanation:

First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.

It has mean μ= np =  30×0.56=16.8

standard deviation s = √npq

sqrt(30×0.56×(1-0.56)) = 2.71

So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.

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