A person places $127 in an investment account earning an annual rate of 4.2%, compounded continuously. Using the formula V = P e r t 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 16 years.

Answers

Answer 1

Answer: $248.68

Step-by-step explanation:

Given

Money compounded according to

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

Here, P=$127

r=4.2%

t=16 years

[tex]\Rightarrow V=127e^{0.042\times 16}\\\\\Rightarrow V=127e^{0.672}=127\times 1.958\\\\\Rightarrow V=\$248.68[/tex]

Value after 16 years is $248.68

Answer 2

Answer: 248.69

Step-by-step explanation:

r= 4.2%

=0.042

r=4.2%=0.042

P= 127

P=127

t=16

t=16

V

=

P

e

r

t

V=Pe

rt

V

=

127

e

0.042

(

16

)

V=127e

0.042(16)

V

=

127

e

0.672

V=127e

0.672

V

=

248.685

248.69

V=248.685≈248.69


Related Questions

the values of w is inversely proportional to m .if w=8 then m=25; what is m when w=20?

Answers

Answer:

m = 10

Step-by-step explanation:

Given w is inversely proportional to m then the equation relating them is

w = [tex]\frac{k}{m}[/tex] ← k is the constant of variation

To find k use the condition w = 8, m = 25 , then

8 = [tex]\frac{k}{25}[/tex] ( multiply both sides by 25 )

200 = k

w = [tex]\frac{200}{m}[/tex] ← equation of variation

When w = 20 , then

20 = [tex]\frac{200}{m}[/tex] ( multiply both sides by m )

20m = 200 ( divide both sides by 20 )

m = 10

WILL GIVE BRAIN FIND THE UNKNOWNS TYSM!!!!

Answers

Answer:

if i'm correct you either divide the two numbers you have to get the answer or you multiply them to get the answer

Step-by-step explanation:

108 divided by 92

or

108 x 92

need help here pleaseeee

Answers

Y= 1/2x is the correct answer

In 4 hours Jessie can make 6 necklaces. How many necklaces can she make in 10 hours?

Answers

Answer:

13

Step-by-step explanation:

in 8 hrs she can make 12 then cn only make one more so

how did you get the number 8?

Answers

Answer:

gracias for the free points :)

Step-by-step explanation:

Answer:

From 8^2/8.

Step-by-step explanation:

Which of the following situations are equal to 40%? Select all that apply.
A) 5 out of 20
B) 6 out of 15
C) 10 out of 25
D) 45 out of 90
E) 32 out of 80

Answers

B,C,E (hope that helps!)

rationalize the denominator and simplify √6/ √5-√3​

Answers

Answer: see picture :)

Step-by-step explanation:

Tu bicicleta necesita ser reparada. Un mecánico cobra $ 22 por cada hora de trabajo y las piezas nuevas cuestan $ 23. El costo total para reparar la bicicleta es de $ 111. ¿Cuántas horas le tomó al mecánico arreglar la bicicleta?

Answers

Answer:

the number of hours that would be taken is 4

Step-by-step explanation:

The computation of the number of hours would be taken is shown below:

Let us assume the number of hours be x

Now according to the question

The equation is

$22x  + $23 = $111

$22x = $111 - $23

x = 4 hours

Hence, the number of hours that would be taken is 4

how many songs can you play on sound cloud before a ad comes on

Answers

3? i don’t know or maybe 10

Kira's pet turtle is 18 inches in length. Which of these is equal to 18 inches? A) 1 1/2 yards B) 1 1/2 feet C) 2 yards D) 2 feet

Answers

Answer:

B

Step-by-step explanation:

1) There are 12 inches in a foot.

2) 18 inches minus 12 inches = 6 inches.

3) You have you your 1 foot and 6 inches which is 1/2 a foot.

4) 1 1/2 feet

Answer:

IS B)1 1/2 IM DOING THE TEST NOW AN I HATE IT

Step-by-step explanation:

please help me with this please

Answers

Answer:

THE FIRST ANSWER IS 29+29+29+29

THE SECOND ANSWER IS 58

Step-by-step explanation:

How i got that answer is from it says square so i know that a square has 4 sides.

Helpppp?????????????

Answers

Okay sorry if it’s wrong but I think it’s A but if not I think B.

how do you solve for u?

Answers

Answer:

u=9.8

Step-by-step explanation:

the minus sign on u and the minus sign on 9.8 cancel out so you get u=9.8.

what is 49cm^2 in mm^2

Answers

Answer:

4900mm^2 or 24010000mm

Step-by-step explanation:

PLEASE HELP FAST!!!
Which equation has an undefined slope?

a) y = 6x + 0

b) x = 4

c) y = -4

d) y = -2/3x - 6

Answers

Answer:

Hello,

I just think that it is A

Why you may ask?

Because it has a Zero and that is an undefined number than

Step-by-step explanation:

Please I want brainest

At a restaurant 12 ounces of ground beef is used to make 4 hamburger patties. The number of hamburger patties
made is directly proportional to the number of ounces of ground beef used.
What is the constant of proportionality that relates the number of hamburger patties made to the number of ounces of
ground beef used?
i need it asap!

Answers

Answer:

Its 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think its 1/3 because you need 3 Oz of ground beef to make one pattie

How can translations help you
sketch the graph of f(x) = x2 + 8x + 16?

Answers

Answer:

THE REAL ANSWER IS IN THE SCREEN SHOT HIS IS NO VIRUS LINK

Step-by-step explanation:

pls mark me brainliest

If f(x) = 3x - 1 and g(x) = x + 2, find (f+g)(x).

Answers

f+g(x) = f(x) + g(x) = 3x-1 + x+2 = 4x+1

a pyramid has a square base with side s. the height of the pyramid is 2/3 that of its side. what is the expression for the volume of the pyramid? ~~~
A. V=2s²
B. V=2s³
C. V=2/3s²
D. V= 2/9s³
E. V=1/3s³​

Answers

Answer:

D. V= 2/9s³

Step-by-step explanation:

Volume of square based pyramid:

V = 1/3 s²h

Given

h = 2/3s

Substitute

V = 1/3s² (2/3s) = 2/9s³

Correct choice is D

Answer:

volume of pyramid = 2/9s³

Please please asap!!

Answers

Answer:I don't know this one

Step-by-step explanation:

What is 1sq ft x11ft

Answers

Answer:

The answer will be 311.485313 liters

Step-by-step explanation:

Because I searched it up

11 sheets of A4 size paper weights 341 grams. Find the number of such sheets in a weight for 2 kg 666 grams of such paper?

Answers

86 sheets

One A4 paper weighs 31 grams, since 341/11=31

There are 2666 grams in 2kg and 666grams

2666/31=86

Between which two numbers is √8 located on a number line? ​

Answers

Answer:

√8 is between 2 and 3.

Step-by-step explanation:

♡ im sorry if its wrong ♡

Which expression is equivalent to three eighths? (2 points)

a
8 ÷ 3
b
3 ÷ 8
c
8 − 3
d
3 − 8

Answers

Answer:

A

Step-by-step explanation:

Answer:

its A/ 8 divided by 3.

Brian buys 32 bottles of soy sauce, in total he has 4/800 ml of soy sauce. How much soy sauce would he have if he bought 23 bottles of soy sauce?

Answers

Answer:

23/6400 ml or 0.003594 ml

Step-by-step explanation:

Steps to determining the answer

Determine the quantity of soy sauce in one bottle by dividing 4/800 by 32The answer gotten in the above step is multiplied by 23 to determine the total amount of soy sauce in 23 bottles

Soy sauce in one bottle = total soy sauce in one bottle / total number of bottles

4/800 ÷ 32 =

4/800 x 1/32 = 1 / 6400

soy sauce in 23 bottles

1/6400 x 23 = 23/6400 ml or 0.003594 ml

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

[tex]A=l^3[/tex] where l is the side length

Plug in 9 ft as l

[tex]A=9^3\\A=729[/tex]

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

Answer:

I think It's A

Step-by-step explanation:

if i made 280 a month how much would i have in a year

Answers

Answer:

3360 dollars

Step-by-step explanation:

280 x 12 = 3360

Answer:

It esay answer is 3360

Step-by-step explanation:

Thereare 12 months in a year. You made 280 amonth.So multiple 280 and 12.

A spotlight can be adjusted to effectively light a circular area of up to 6 meters in diameter. To the nearest tenth, what is the maximum area that can be effectively lit by the spotlight? Use 3.14 for pi.

Answers

i know im late but i will still grab these points

Answer: 28.27 m

Step-by-step explanation: A = 1/4 π d2= 1/4 * π * 6*2 ≈ 28.27

Answer: 28.27

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

Answer:A??

Step-by-step explanation:

6. Which is a not a true statement about the figures shown below?
this is do soon thx

Answers

A or D they’re the same

Answer:

a and d

Step-by-step explanation:both the same answers hope this helps

Other Questions
Help due soon will give brainliest I will mark you branlist!! What to u write in the yellow boxes???!? Which of the following best classifies a quadrilateral with coordinates A(7,0), B(3, 1), C(4,7), and D(8, 6)?A.RectangleB.ParallelogramC.TrapezoidD.Square Manual Company sells goods to Nolan Company during 2017. It offers Nolan the following rebates based on total sales to Nolan. If total yearly sales to Nolan are 10,000 units, it will grant a rebate of 2.00%. If it sells up to 20,000 units, it will grant a rebate of 4.00%. If it sells up to 30,000 units, it will grant a rebate of 6.00% In the first quarter of the year, Manual sells 11,000 units to Nolan at a sales price of $110,000.00. Manual, based on past experience, has sold over 40,000 units to Nolan per year. Based upon the above information, what amount should Manual record as revenue based upon both the net and gross method? (check figure: gross method sales revenue $107,800.00) PLZ HELP WILL GIVE BRAINLIST IF CORECT!!! 5 times 4 times 2 times 2 divided by 2 minus 4 hi I hope you are all okay could someone help me with this math question thankyou !!!y1xIf y=7 when x=64 find, x when y=8 please help!!! I have to submit this in a few!!! Based on the text, why do some students object to the locker searches? * 15 points A. They claim that the searches are not effective. B. They think that searches should be announced to be fair. C. They worry that people no longer feel safe on campus. D. They think their lockers are private property. A population pyramid is created by WHAT IS THE HA AND RANGE ILL GIVE BRAINLIEST TO FIRST PERSON TO ANSWER Australia is divided into _______________ states and _________________ territories. Ambria received flowers for Valentine's Day that were in a vase shaped like a rectangular prism. If the vase measured 12 inches long, 6 inches wide, and 10 inches high and was filled with water 4 inches from the top, what is the volume of the water that will be in the vase? The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 17 seconds? a 4046 ft b 272 ft c 4624 ft d 5202 ft answer is C Determine the mean of given data-7, 6, -6,5, -5, -11 Sydney brings $200 to the mall. She buys a $ 70 watch and some shirts for $40 each.Which inequality represents the situation?Also determine how much money Sydney has left after she buys 2 shirts?Question 2 options:40x+70200, 5040x+70200, 12840x+70200, 130 A contractor is tiling your bathroom with one-foot square tiles. How many tiles are needed for the job? PLS HELPPP A protein channel in a hydrogen ion pump is shown below. What would happen if the concentration of H+ ions were higher inside the mitochondrion than outside the mitochondrion when the channel opened? During which phase of mitosis do the sister chromatids pull apart?A) CytokinesisB) AnaphaseC) TelophaseD) Prophase