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.

Answer:

-9

Step-by-step explanation:

There are 7 dimes and 9 quarters in his pocket.

If there are 16coins in total, hence;

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

From equation 1

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

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

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!

Answer in the pic hope it helps

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

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

Answer:

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

Answer:

a

Step-by-step explanation:

Answer:

30/6 is correct

Step-by-step explanation:

Answer:

$ 1.2

Step-by-step explanation:

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

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

In ∆RAM and ∆REP

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]

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.

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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

Since

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

we have

14₁₀ = 24₅

Answer:

-1

Step-by-step explanation:

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

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

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]

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!

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

Answer:

where's the line?

Step-by-step explanation:

add a line next time

Answer:

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

Step-by-step explanation:

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:

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.

Answer:

1 ft=18 in or 1ft=11in

Step-by-step explanation:

:D

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!

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.