A person places $686 in an investment account earning an annual rate of 3.8%, 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 15 years.

Answers

Answer 1

Answer:

V = $1213.03

Step-by-step explanation:

We can determine the amount of money after 15 years with the given formula:

[tex] V = Pe^{rt} [/tex]   (1)

Where:

V: is the value of the account in t years =?

P: is the principal initially invested = $686                

r: is the rate of interest = 3.8% = 3.8/100 = 0.038

t: is the time = 15 years

By substituting the above values into equation (1) we have:

[tex]V = Pe^{rt} = 686*e^{(0.038*15)} = 1213.03[/tex]  

               

Therefore, the amount of money is $1213.03.

I hope it helps you!  


Related Questions

Find the volume of the cone.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
Please help asap

Answers

Right circular cone

Solve for volume

V≈37.7

r (Radius )

2

h( Height )

9

V=πr2h

3=π·22·93≈37.69911

The local weather forecast has been accurate for 24 of the past 30 days. Based on this fact what is the relative frequency probability that the forecast for tomorrow will be accurate

Answers

Step-by-step explanation:

the empirical probability is 24/30, or 4/5. this is also the desired probability.

Find the surface area of the prism.

Answers

Answer:

if you mean the face of the triangle the area equal 40 by 5×8=

and the little triangle on the left his area is 6

if you want the full area of prymaid its 24+6+6+40+32=108 its all figure areas sorry i cant understand engilish very well so i write all that

49 pt = _ fl oz :DDDDD

Answers

Answer:

784

Step-by-step explanation:

each 1 PT = 16 FL Oz

49*16=784

find the are of the trapizoind

Answers

9514 1404 393

Answer:

  7.5 square units

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases, and h is the perpendicular distance between them.

Here, the bases are TR = 1 and PA = 4. The height is 3 units, so the area is ...

  A = (1/2)(1 +4)(3) = 15/2 = 7.5 . . . . square units

Tickets to the end of year carnival are $18 for 4 tickets. What
is the cost of 9 tickets?

Answers

Answer:

$40.50

Step-by-step explanation:

Create a proportion using the cost in the numerator and number of tickets in the denominator.

[tex]\frac{18}{4} =\frac{x}{9}[/tex]

cross multiply

162=4x

divide by 4 on both sides

x=40.5

$40.50

$40.50

Step-by-step explanation:

4×2=8 tickets

18×2= 36 dollars

1/4 of 18 dollars is 4.5

so 36+4.5= $40.50

This could be wrong-

9/10 + 3/100 plz hlp in dire need of answer







































Answers

Answer:

I think it's 93/100

Find the area of this trapezoid.

A. 240 cm2
B. 288 cm2
C. 312 cm2
D. 336 cm2

Answers

Answer:

b. 288cm^2

Step-by-step explanation:

[tex]a = \frac{a + b}{2} h[/tex]

[tex] \frac{15 + 21}{2} (16)[/tex]

[tex]a = 288[/tex]

Can someone please help me

Answers

Answer:

The answer is (1/2 x 18 + 5)

Step-by-step explanation:

This is the answer because that is the only thing in the options higher than Keisha's expression.

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Graph the function defined by the parametric equations x = 2t3 – 3t and y = -2t2 – 1 over the parameter
-2 < t < 2.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does this nicely.

A system has two identical components, and requires both the components for system success. If one component fails, the other cannot fail while the failed component is being repaired. The component failure rates and repair rates are 0.1 failures/year and 365 repairs/year respectively. If a similar component is carried as a spare with an average installation time of 1 hour, evaluate the probability of failure, frequency of failure and the average down time of the system.

Answers

Answer:

Step-by-step explanation:

We are given that:

The failure rate = 0.1 failure/year

i.e.  = [tex]\dfrac{0.1}{365\times 24}= 0.00001 \ failure /hour[/tex]

The repair rate = 365 repair/year, if we convert this to repair/hour; we get:

[tex]= \dfrac{365}{365\times 24} \\ \\ = 0.04 \ repair/ hour[/tex]

Time (t) = 1 hour

P(failure) = 1 - R  ; if (t=1)

where:

[tex]Reliability (R ) = e^{-\lambda t}(1+ \lambda t) \\ \\ = e^{-0.00001*1}(1+0.00001 *1) \\ \\ \simeq 0.9999[/tex]

P (failure) = 1 - R  

= 1 - 0.9999

= 0.0001

≅ 0

The frequency meantime of failure = [tex]\dfrac{1}{\lambda}[/tex]

[tex]\dfrac{1}{0.00001}[/tex]

= 100000

The average downtime of repair for the system = [tex]\dfrac{1}{\mu}[/tex]

[tex]=\dfrac{1}{0.04}[/tex]

= 25

f(x)=3x 2 +6x−18Find f(10)

Answers

Answer:

342

Step-by-step explanation:

To find f(10), simply substitute x for 10, resulting in 300+60-18 = 342

An arc of a circle has a length of 4pi units. If the circle it comes from has a radius of 12 units, what is the measure of the central angle in radians associated with this arc?


NO LINKS PLEASE

Answers

If we start with a circle with a marked radius line, and turn the circle a bit, the area marked off looks something like a wedge of pie or a slice of pizza; this is called a "sector" of the circle, and the sector looks like the green portion of this picture:

circle with central angle "θ" and radius "r" marked, delineating the sector, which is shaded a light green

The angle marked off by the original and final locations of the radius line (that is, the angle at the center of the pie / pizza) is the "subtended" angle of the sector. This angle can also be referred to as the "central" angle of the sector. In the picture above, the central angle is labelled as "θ" (which is pronounced as "THAY-tuh").

Affiliate

Find the missing side. Round to the nearest tenth

Answers

Answer:

We know Cot51 = x/17

=> 0.809784 × 17 = x

=> 13.753 = ×

.°. The value of x = 13.753 ~~ 14.000 (Ans)

Conan is moving into a two-bedroom apartment in Valley Oaks. The monthly rent is $2,000. His up-front fees
were a $60 application fee, a $20 credit check fee, first and last month's rent and a broker fee of 14% of a year's
rent.
How much can he expect to pay upfront for this apartment?
4,360
4,080
7,440
5,440

Answers

I think 4360 plz tell me if I am right

if 4^(3x-2)=4^(x+1), then x=

Answers

Answer:

x = 3 /2

x=1.5

Step-by-step explanation:

PLS HURRY. WILL MARK BRAINLEST!!!! JWKSNWN PLEASE I NEED IT!!

Answers

Answer:

B

Step-by-step explanation:

Mark me brainliest PLZ

A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marbles. How many total possible outcomes are there when choosing a marble from the bag?
4
11
14
16

Answers

Answer:

4

Step-by-step explanation:

4 because there are 4 kinds of marbles

In 1999. Sara and her brother Xzavier got money when their rich uncle died. They
each got the same amount of money. Sara bought some land in the country
because she heard they would be building houses near there some day. She
bought 300 acres of land with all of the money she got from her uncle,
$600,000, in 2000. In 2003 they extended the main highway to go near her land
and she sold 100 acres for $2700 lacre. In 2005 she sold half of the land she had
left for $3600 lacre. In 2007 they started a long-term project to build houses in
the area and built a Lowes, a Food Lion, A Bank of America and a Burger King on
the main street. Finally, in 2010. Sara sold the rest of her land for $400,000. What
was her total profit when she finished selling all of the land?

Answers

Answer:

$406,300

Step-by-step explanation:

$2,700 + $3,600 = $6,300

$400,000 + $6,300 = $406,300

What is the measure of angle L

Answers

Answer:

90-15 and you have your answer

Answer:

75

Step-by-step explanation: it is a right angle so you do 90-15 which is 75 degrees.

PLEASE HELP I DONT KNOW

Answers

Answer:

Step-by-step explanation:

In the given circle

radius (r) = 6 cm

Diameter (d) = 2 * r

                    = 2 * 6

                   = 12 cm

hope it helps :)

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]D)

12cm

because,

d= 2r

d= 2×6

d= 12cm

ThanksHope it helps

Need answered ASAP GOT A TIMER!

Answers

Answer:

2

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have the following multiplication given in the problem above:

(x/3)(6/x)

2. Multiply the numerators and the denominators:

(x/3)(6/x) = 6x/3x

3. You can simplify the expression. Then, you have:

6x/3x = 2

Answer:

2

Step-by-step explanation:

1) simplify x

x/x = 1

2) simplify 6 with 3

6/3 = 2

3) multiply the two numbers

2*1 = 2

What is the difference between a probability experiment that is a binomial experiment and one that is not a binomial experiment?​

Answers

Answer:

The binomial distribution has the following properties: The mean of the distribution (μx) is equal to n * P . The variance (σ2x) is n * P * ( 1 - P ).

Step-by-step explanation:

Answer: The binomial experiment is the experiment that will satisfy the 4 conditions, a fixed number of trials. And each trial is independent of the others. There will be 2 outcomes. The probability of each of the outcomes remains constant from each trial. (trial to trial.) Is that your question?

Step-by-step explanation:

Points H and I are located on the coordinate plane at (-2,8) and (-2, 11).
What is the distance between the two points?

Answers

Answer:

3

Step-by-step explanation:

distance required=11-8=3

30) 30) At a liberal arts college, students are classified as humanities or science majors. There is a probability of 0.9 that a humanities major will change to science and of 0.2 that a science major will change to humanities. What are the long-term predictions for each major

Answers

Answer:

hence the long-term prediction for each major ; [ 1 , 1 ]

Step-by-step explanation:

Probability of A humanities major changes to Science = 0.9

P( science major changes to humanities ) = 0.2

Determine the long term predictions for each Major

The Transition matrix can be written as

[tex]\left[\begin{array}{ccc}0.1&0.9&\\0.8&0.2&\\\end{array}\right][/tex]

Find the equilibrium matrix p' of the Transition matrix above by finding the values of p, p^2 , p^3 ......... until any row of the resultant matrix

The eigen ( equilibrium ) vectors of the matrix

[tex]\left[\begin{array}{ccc}1&-1.125&\\1&1&\\\end{array}\right][/tex]

hence the long-term prediction for each major ; [ 1 , 1 ]

plzzzzzz help for a brainly

Answers

The answer would be B

The length of a rectangle is 3 inches longer than it is wide. If the area is 180 square inches, what are the
dimensions of the rectangle?

Answers

Answer:

Width=12 inches

Length=15 inches

Step-by-step explanation:

Let's say the width is x.

Then, the length is x+3.

The area of a rectangle is the length times width, so

x(x+3)=180

x^2+3x=180

x^2+3x-180=0

After using the quadratic formula, x comes out to be 12 or -15.

x cannot be -15 because you can't have negative distance, so we are left with x=12.

The width is 12 inches and the length is 12+3=15 inches.

Check: 12*15=180

Answer:

The width is 12 and the length is 15.

Step-by-step explanation:

You set the equation as x is equal to the width and since the lenght is 3 units longer than the width, it can be seen as "x + 3"

[tex]Area=(Length)(Width)[/tex]

180= x × (x + 3)

Then from there you just solve for x.

find the area of the figure

Answers

Answer:

5.5

Step-by-step explanation:

area of triangle: 4.5

area of square: 1

Answer: 5.5in

Step-by-step explanation:

Square is 1

Triangle is 4.5

1+4.5=5.5

AREA IS 5.5

#11. The space occupied by a wooden block is 4cm × 2cm × 2cm=_____cm 3 Which is equivalent to_______mililiters​

Answers

4x2x2=16cm^3, which is 160mm

If Danny randomly picks a jelly bean out of the jar, what is the probability that the jelly bean will be blue or green (find the simplest form)?

Answers

Answer:

Amount of jelly beans=50

Amount of blue or green jelly beans=17+10

probability that the jelly bean will be a blue or green one=27/50

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