1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lara [203]
4 years ago
5

Jimmie invested $57,500 at 9.38% compounded continuously. What will Jimmie's account balance be in 42 years?

Mathematics
1 answer:
liq [111]4 years ago
4 0

Answer:

$6,259,057.84

Step-by-step explanation:

hello,

compounding continuously means that we have to multiply by

e^{0.0938*t}

t is the number of years

so the account balance in 42 years is

57,500e^{0.0938*42}=6,259,057.84....\\

so it gives

$6,259,057.84

hope this helps

You might be interested in
Assume that BK Call Center receives 2 phone calls in one hour on average. If the department works 10 hours a day receiving the c
MrMuchimi

Using the Poisson distribution, the probabilities are given as follows:

A. 0.0888 = 8.88%.

B. 0.1354 = 13.54%.

C. 0.8646 = 86.46%.

<h3>What is the Poisson distribution?</h3>

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

The parameters are:

  • x is the number of successes
  • e = 2.71828 is the Euler number
  • \mu is the mean in the given interval.

Item a:

10 hours, 2 calls per hour, hence the mean is given by:

\mu = 2 \times 10 = 20.

The probability is P(X = 20), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 20) = \frac{e^{-20}20^{20}}{(20)!} = 0.0888

Item b:

1 hour, hence the mean is given by:

\mu = 2

The probability is P(X = 0), hence:

P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}2^{0}}{(0)!} = 0.1354

Item c:

The probability is:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1354 = 0.8646

More can be learned about the Poisson distribution at brainly.com/question/13971530

#SPJ1

5 0
2 years ago
(1 point) Let f be a periodic function of period 10 such that f(x)=x2 for −5≤x&lt;5. Then the Fourier series of f is
ehidna [41]

Answer:

The answer is "\frac{25}{3}".

Step-by-step explanation:

please find the complete question in the attached file.

a_0=\frac{1}{10}\int^{5}_{x=-5} x^2 dx\\

   =\frac{1}{10} (\frac{x^3}{3})^{5}_{-5}\\\\=\frac{1}{30}[5^3+5^3]\\\\=\frac{2}{30}(125)\\\\=\frac{1}{15} \times 125\\\\=\frac{25}{3}

7 0
3 years ago
H(x)=x2+2x g(x)=-2x+4 Find(h-g)(x)<br> O x2+3x+1<br> O x2+4x-4<br> O x2-4x-4<br> O -x2-4x+4
maria [59]

Answer:

Step-by-step explanation:

x^2 + 2x + 2x - 4

x^2 + 4x - 4

Option 2 is the answer

8 0
4 years ago
Can someone please help me!! And can you show your work
Debora [2.8K]

Answer:

1) 8.073 (multiply 0.621 by 13km)

2)1,320,000,000(5280ft times 250,000)

3)37.850(10,000 divided by 264.2)

4)4hrs

5)157680000

(60 seconds in one minute and 60 min in one hr so 60 times 60 =3600 in one hr. then multiply 3600 by 24 for the entire day which is 86400sec. Then multiply that day by 365 which is 31536000 times 5 years which gets us our total of 157680000 seconds.

6) 758000 L

1 gal = 3.79 L so we have to multiply 3.79 times 200,000 which gets us 758000

Step-by-step explanation:

1) To get this answer we need to find out how many miles are in one kilometer. 0.621 mile is 1 km so we need to put 13 for km which will get 8.073 miles. SO the answer is 8.073

2) we need to find how many feet are in a mile. 1 mile= 5,280. so 5280 times 250,000 = 1320000000  

3) 264.2 gal= 1 cubic meter so 10,000/264.2= 37.850

4) 1 hr= 60 min = 4hrs and 58 minutes roughly

5) 60 sec is 1 minute= so 60 times 60(the minutes in

4 0
4 years ago
A carpenter is framing a window with wood trim where the length of the window is 9 1/3 feet. If the width of the window is 6 3/4
ElenaW [278]
This is not much of a question, because it doesn't take into account the width of the wood trim.  

So you are asked to find the perimeter of the window, ignoring the width of the trim.

P = Perimeter = 2L + 2W.

Here, P= 2(9 1/3 feet) + 2(6 3/4 feet) = 2(28/3 feet) + 2(27/4 feet)

So P = 2[28/3 + 27/4] feet.  LCD is 3*4 = 12.

Thus, P = 2 [ 28/3 + 27/4 ] feet.  Can you finish?  Add together the fractions 28/3 and 27/4.
4 0
3 years ago
Other questions:
  • Consider the surface f (x comma y comma z )f(x,y,z)equals=negative 2 x squared plus 2 y squared minus 3 z squared plus 3 equals
    10·1 answer
  • Under which isometry is the slope of line segment equal to the slope of it's image?
    15·1 answer
  • The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued
    14·1 answer
  • Please help will mark brainliest
    15·1 answer
  • An aquarium is shaped like a rectangular prism. The prism is 2414 inches long, 1212 inches wide, and 20 inches high. What is the
    8·1 answer
  • The voltage in a circuit is the product of two factors, the resistance and the current. If the voltage is 6ir + 15i + 8r+20, fin
    7·1 answer
  • What is this Measurement? I need help with this question.
    11·1 answer
  • Find the locus of a point which moves such that its distance from (1,2) is always 5 units​
    7·2 answers
  • I dont know how to do geometry like that and i need help on my assignment ​
    9·2 answers
  • Need help asap i’ll vote brain liest
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!