A person places $4080 in an investment account earning an annual rate of 5.7%, 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 4 years.

A Person Places $4080 In An Investment Account Earning An Annual Rate Of 5.7%, Compounded Continuously.

Answers

Answer 1

We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.

We will use continuous compounding formula to solve our given problem as:

, where

A = Final amount after t years,

P = Principal initially invested,

e = base of a natural logarithm,

r = Rate of interest in decimal form.  

Upon substituting our given values in above formula, we will get:

Upon rounding to nearest cent, we will get:

Therefore, an amount of $7499.82 will be in account after 2 years.

Answer 2

Answer:

5124.83

Step-by-step explanation:

r=5.7\%=0.057

r=5.7%=0.057

Move decimal over two places

P=4080

P=4080

Given as the pricipal

t=4

t=4

Given as the time

V=Pe^{rt}

V=Pe  

rt

 

V=4080e^{0.057( 4)}

V=4080e  

0.057(4)

 

Plug in

V=4080e^{0.228}

V=4080e  

0.228

 

Multiply

V=5124.8281\approx 5124.83

V=5124.8281≈5124.83


Related Questions

I need help, the solid below is made from cubes find it volume

Answers

Answer:

[tex][tex]\purple{\rule{45pt}{7pt}}\purple{\rule{45pt}{999999pt}}[tex][/tex]

Answer:

40cm

Step-by-step explanation:

Volume is LxWxH. The length is 2cm, the width is 5cm, and the height is 4cm, you can find these values by counting each block as a cm. Then you multiply all the values, (2x4x5) and you get 40.

PLEASE, PLEASE HELP ME I SWEAR I'LL GIVE BRAINLIEST

Answers

Answer:

1. is a solution

2. is a solution

3. not a solution

4. not a solution

5. not a solution

6. is a solution

7. is a solution

8. not a solution

Step-by-step explanation:

45
23

+(−
45
23

)

Answers

4523 + (-4523)

4523 - 4523

0

convert 14 in base 10 into base 5

Answers

Since

14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,

we have

14₁₀ = 24₅

someone help me asap

Answers

Answer:

-9

Step-by-step explanation:

Find the Common Denominator of 3/12 and 7/12


show your work

Answers

The common denominator is already there 12 is the common denominator!! :)

Step-by-step explanation:

3/12 7/10

Make the Denominators same

3*5/12*5 = 15/60

7*6/10*6 = 42/60

Common Denominator is 60

If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!

Answers

1 lap = 400 meters

Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say

1 = 400 meters / 1 lap.

This gives us a "conversion factor" between laps and meters. Since we know we have traveled 8 laps, we can multiply this by our conversion factor (which we have defined to be equal to 1!):

8 laps * 1 = 8 laps * 400 meters / 1 lap

Now we can cancel words the same way we cancel numbers in a fraction. If we have 4 / 4, we cancel the 4's and get 1. Similarly, in the above we can cancel the "lap" with the "lap" on the bottom of the fraction of the conversion factor. Then we have:

8 laps = 3200 meters

Edwin is selling 5 candy bars for $6. what if 5 was 1

Answers

Answer:

$ 1.2

Step-by-step explanation:

you need to divide 6/5 and then that's the answer.

Shapes. I will give brainless answer correctly and tell me the top number and bottom.

Answers

Answer:

2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares

???????? Helppppppppp

Answers

In ∆RAM and ∆REP

m<E=m<A

Let's check ratio

[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]

Hence

option B is correct

Answer:

[tex]second \: one \: is \: correct[/tex]

1+1 pls omg its impossible

Answers

Answer:

it equals 11 haha !

Step-by-step explanation:

have a great day/night :)

Answer:

2

Step-by-step explanation:

1 + 1 = 2

This is because one digit (1) is being added to another one digit (1), giving the answer of two digits, or 2.

The graphs above are of the lines y = -x+2 and y=x+1. The point of intersection of the linear equations is

Answers

See below

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

A scientist evaluated the local deer population. The scientist found that there were 100 deer in all, 15% of which were juveniles. How many juveniles were there in the local deer population?

Answers

Answer:

this is easy 100% in this case equals 100 so 15 Juveniles equals 15%

Step-by-step explanation:

Which shows the correct first step to solving the system of equations in the most efficient manner?

3 x + 2 y = 17. x + 4 y = 19.

x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19

Answers

Answer:

x = -4y + 19

Step-by-step explanation:

We have the two equations 3x + 2y = 17 and x + 4y = 19.

The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

We can rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

And we have just completed the first step!

lines y = -x+2 and y=x+1. The point of intersection of the linear equations is *

(0,2)
(0.5, 1.5)
(-1,0)
(2,0)

Answers

We can solve it by seeing the graph but let's solve the equations.

[tex]\\ \sf\Rrightarrow y=-x+2[/tex]

[tex]\\ \sf\Rrightarrow y=x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]

[tex]\\ \sf\Rrightarrow -2x=-1[/tex]

[tex]\\ \sf\Rrightarrow x=0.5[/tex]

Put in eq(2)

[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]

[tex]\\ \sf\Rrightarrow y=1.5[/tex]

Done

best answer gets brainiest

what is the circumference and the mass of Jupiter and Saturn combined?

Answers

Mercury

Mercury is the smallest planet in the solar system. Its circumference is merely 9,522 miles, and its area totals 28,873,225 square miles. It is a terrestrial planet with a surface covered in craters, and its close proximity to the sun sometimes results in surface temperatures as high as 800 degrees Fahrenheit. Its lack of heat-retaining atmosphere, though, can cause nighttime temperatures nearing 300 degrees Fahrenheit. Besides its faint, occasional twilight appearances, Mercury is indirectly visible from Earth about a dozen times per century as it passes across the sun.

Venus

Venus is similar to Earth in size, with a circumference of 23,617 miles and an area of 177,628,840 square miles. Venus’ atmosphere contains clouds of sulfuric acid, which reflect sunlight, allowing Venus to appear brighter than other planets from Earth. Its atmosphere traps heat and can cause surface temperatures of almost 900 degrees Fahrenheit; this sweltering heat has destroyed all probes that have landed on the planet. Over a thousand volcanoes are strewn across Venus’ surface.

Brought to you by Sciencing

Earth

The third planet from the sun is Earth, the only planet known to contain life. Its circumference is just greater than that of Venus at 24,889 miles. Of its total area -- 197,280,733 square miles -- 70 percent is covered by oceans. It orbits the sun at a distance of nearly 93 million miles on a tilted axis of over 23 degrees, creating four distinct seasons. Earth’s uniquely thin, but powerful atmosphere alters both climate and weather, protects inhabitants from the sun’s radiation and acts as a shield for meteors.

Mars

Having a circumference of 13,256 miles and an area of 55,963,741 square miles, Mars is the second smallest planet in the solar system. This terrestrial planet, known as the “Red Planet” due to its color of soil, has some notable geological features including tremendous volcanoes and a canyon system that stretches the width of the United States. Though its temperatures are too low for liquid water to remain on its surface, Mars has polar ice caps that expand and shrink according to the shift in seasons.

Jupiter

The largest planet in the solar system -- with a circumference of 278,985 miles and an area of 24,787,374,965 square miles -- is Jupiter. This gas giant is the fifth from sun and has 63 moons of its own, four of them the size of planets. Its unusual coloring is a product of visible ammonia clouds and stripes formed by east-west winds creating dark belts and light zones. These “stripes” are full of storm systems that have endured for many years, including the spinning storm known as the Great Red Spot, which is over 300 years old.

Saturn

At 235,185 miles in circumference and 17,615,265,865 square miles in area, Saturn is the sixth planet from the sun and the second largest gas giant. Its composition is mostly hydrogen and helium, while its famous rings are deceptively complex: primarily made of water ice, some braided or spoked in appearance. Saturn’s own banded appearance is the result of gusts in the upper atmosphere many times the speed of hurricane winds. Saturn has 52 known moons, two of which orbit within its rings.

Uranus

Uranus, the seventh planet from the sun, is another gas giant. It measures 99,739 miles in circumference and 3,168,132,663 square miles in area. Its blue-green appearance is a result of methane gas in its atmosphere. It rotates on a nearly horizontal axis, perhaps due to a collision with another planetary body far in the past, but the resulting seasons are not very distinct due to its distance from the sun. Uranus has 11 rings -- which are uniquely perpendicular to its orbit -- and 27 known moons.

Neptune

Nearly three million miles from the sun, Neptune -- measuring 96,645 in circumference and 2,974,591,827 square feet in area -- takes over 150 years to complete its orbit. It cannot be seen by the naked eye from Earth, despite its intense blue color, a product of atmospheric methane. Among Neptune’s distinguishing features are winds many times the strength of Earth’s, 13 known moons, six rings and a raging hurricanelike storm known as the Great Dark Spot large enough to encompass the Earth.

Answer:

Total Circumference = 514, 170 miles

Total Mass = 2, 467, 000, 000, 000 metric tons

Step-by-step explanation:

hope this helps you

Which is NOT a line of symmetry?
1
2
3
4
5

Answers

Answer:

where's the line?

Step-by-step explanation:

add a line next time

Jamaal ran 6 miles in 30 minutes. Which expression shows how to correctly determine his speed in miles per minute?
6 miles ÷ 30 minutes
30 minutes ÷ 6 miles
6 miles ÷ 1 minute
30 minutes ÷ 1 mile

Answers

Answer:

30/6 is correct

Step-by-step explanation:


Between what two whole numbers is the length of the
diagonal from M to N in the rectangular prism?

—HELP ASAP
I put a pic.

Answers

Answer in the pic hope it helps

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

A rectangular plot of land is 64 ft long and 80 ft wide. On a map, the length is 2.8 in. Identify the width on the map.

Answers

Answer: 3.5"

64:80::2.8":x

[tex]\frac{64}{80}[/tex][tex]\frac{2.8}{x}[/tex]    

2.8x80=224

224/64=3.5"

Answer:

3.5

Step-by-step explanation:

that's what the other dude said

5-m=1.37 PLEASE HELP

Answers

Answer:

m = 3.63

Step-by-step explanation:

5-m =1.37

5-m-5 = 1.37-5

-m=-3.63

-m/-1=-3.63/-1

m= 3.63

Answer:

x = 3.63

Step-by-step explanation:

use elimination;

5 - m = 3.63

+5 +5

5 - 5 + 5 = 5

3.63 - 5 + 5 = 3.63

check answer:

5 - 3.63 = 1.37

therefore; x = 3.63

hope this helps!

What is f(-3) if f(x)= 1/3x


3
1
-1
-3

Answers

Answer:

-1

Step-by-step explanation:

1/3(-3) cancels the common factor of 3, which leaves the answer as -1.

Find a scale with a unit of 1 and choose the correct answer (for example, 1 cm=7 yards).


Car 18ft moele 5in

Scale: _____
1 in = 3.6 ft
1 ft=18 in
1 in = 10 ft
1 ft=11 in

Answers

Answer:

1 ft=18 in or 1ft=11in

Step-by-step explanation:

:D

Four times the first number minus three times the second number is 2. Two times the first number increased by three times the second is 10. Find both numbers.

Answers

Answer:

First number is -2.5

Second number 5

Step-by-step explanation:

Four times the first number minus three times the second number is 2.

To represent this statement, 4x -3y =2

Two times the first number increased by three times the second is 10.

To represent thsi statement, 2x+ 3y = 10

4x - 3y = 2

2x + 3y =10

4x - 2x = 2x

2x = -5

x= -2.5

The first number is -2.5

By using Substitution

2x + 3y = 10

2(-2.5) + 3y = 10

-5 + 3y = 10

3y = 10 +5

3y =15

y = 5

The second number is 5

....To check my answer

-5 + 15 = 10

It takes 5 builders 3 1/2 hours to build a wall. How many hours will it take for 2 builders to build an identical wall?.

Answers

Answer:

8.75 hours for 2 builders so complete it

Step-by-step explanation:

its right because im smart and i say its right

If it takes 5 builders [tex]3\frac{1}{2}[/tex] hours to build a wall, it will take 2 builders  [tex]8\frac{3}{4}[/tex] hours to build an identical wall

The time taken for 5 builders to build the wall = [tex]3\frac{1}{2}[/tex] hours

The time take for 5 builders to build the wall = 3.5 hours

Time taken for 1 builder to build an identical wall =

5 x  (Time taken for 5 builders to build the wall)

Time taken for 1 builder to build the wall = 5  x  3.5

Time taken for 1 builder to build the wall = 17.5 hours

Time taken for 2 builders to build an identical wall = (Time taken for 1 builder)/2

Time taken for 2 builders to build an identical wall = 17.5/2

Time taken for 2 builders to build an identical wall =  8.75 hours

Time taken for 2 builders to build an identical wall = [tex]8\frac{3}{4}[/tex] hours

Learn more here: https://brainly.com/question/25874783

Which equation is equivalent to
A=1/2bh?

A) H=2A/b

B) H= A/2b

C) H= A - 1/2b

D) H= 2A-b

Answers

Answer:

a

Step-by-step explanation:

In his pocket, Hamid has $2. 95 in dimes and quarters. If there are 16 coins in total, which system represents the number of dimes and quarters that Hamid has? x y = 16. 0. 10 x 0. 25 y = 2. 95. X y = 16. 0. 05 x 0. 25 y = 2. 95. X y = 2. 95. 0. 10 x 0. 25 y = 16. X y = 16. 0. 01 x 0. 25 y = 2. 95.

Answers

There are 7 dimes and 9 quarters in his pocket.

Let the number of dimes be xLet the number of quarters be y

If there are 16coins in total, hence;

x + y = 16 ......................... 1

If hamid has $2. 95 in dimes and quarters, this is expressed as:

0.1x + 0.25y = 2.95 ............... 2

From equation 1

x = 16 - y ................. 3

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

Learn more on simultaneous equations here: https://brainly.com/question/16863577

PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY

Answers

Answer:

Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air

First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.

Hope this helps!

what term is used to refer to the reverse order of a conditional statement​

Answers

[tex] \: \: \: \: \: \: [/tex]

converse

The converse of a conditional statement is created when the hypothesis and conclusion are reversed.

hope it helps

Help help help help

Answers

C = 72 is the answer
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