Aubree invested $500 into a mutual fund that paid 3% interest each year compounded annually. Find the value of the mutual fund in 12 years.

Answer:

a. 7

b 8

c 9

d 10

e 10

f 44

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

a) The equation of a line passing through the point (0,0) and ​(16​,4​) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-0=\frac{4-0}{16-4}(x-0)\\\\y=\frac{1}{4}x[/tex]

We have to find the equation of the line perpendicular to y = (1/4)x and passing through the point (4,6).

The line perpendicular to y = (1/4)x has a slope of -4 (product of their slope = -1).

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-6=-4(x-4)\\\\y-6=-4x+16\\\\y=-4x+22[/tex]

The slope of a line passing through the point (16,4) and ​(4​,6​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{6-4}{4-16}=-\frac{1}{6}[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1/6 and passing through the point (0,0).

The line perpendicular to a line with slope -1/6 has a slope of 6

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-0=6(x-0)\\\\y=6x[/tex]

Solving y = 6x and y  = -4x + 22, gives:

x = 2.2, y = 13.2

Hence the orthocenter is at (2.2, 13.2)

b)

The slope of a line passing through the point (3,4) and ​(11​,12​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{12-4}{11-3}=1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of 1 and passing through the point (8,15).

The line perpendicular to a line with slope 1 has a slope of -1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-15=-1(x-8)\\\\y=-x+8+15\\\\y=-x+23[/tex]

The slope of a line passing through the point (11,12) and ​(8​,15​) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{15-12}{8-11}=-1[/tex]

We have to find the equation of the line perpendicular to  the line with slope of -1 and passing through the point (3,4).

The line perpendicular to a line with slope -1 has a slope of 1

Hence:

[tex]y- y_1=m(x-x_1)\\\\y-4=1(x-3)\\\\y=x-3+4\\\\y=x+1[/tex]

Solving y = -x + 23 and y  = x + 1, gives:

x = 11, y = 12

Hence the orthocenter is at (11, 12)

Answer:

225° = 5π/4 radians.

Step-by-step explanation:

hope this helps :D

The radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

Given,

225 degrees.

We need to find the radian measure of 225 degrees.

We have,

π radian = 180 degree

So,

2π = 360 degrees.

This is the formula for the radian of an angle.

Find the radian measure for 225 degrees.

We have,

π radian = 180 degrees

Multiply 225/180 on both sides by 180.

225/180 x π radian = 225/180 x 180 degrees

1.25 π radian = 225 degrees

or

We can take π = 22/7 = 3.14

225/180 x 3.14 radian = 225 degrees.

3.925 radian = 225 degrees

Thus the radian measure of an angle of 225 degrees is 1.25π radian or 3.925 radians.

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Using Pedmas  to get the equation to be true add parenthesis around the 8-5:

4 x (8-5) = 12

This becomes 4 x 3 = 12 which is true.

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

Answer:

x

=

1

and

y

=

−

2

Explanation:

Here ,

3

x

−

2

y

=

7

...

.

→

(

1

)

5

x

+

y

=

3

...

...

→

(

2

)

Multiplying eqn.

(

2

)

by

2

and adding:

i

.

e

.

(

1

)

+

2

×

(

2

)

we get

3

x

−

2

y

=

7

10

x

+

2

y

=

6

−−−−−−−−−−−−−

13

x

+

0

=

13

∴

x

=

1

Subst.

x

=

1

into

e

q

n

.

(

2

)

we get

5

(

1

)

+

y

=

3

∴

5

+

y

=

3

∴

y

=

3

−

5

∴

y

=

−

2

Hence,

x

=

1

and

y

=

−

2

Answer:

[tex]y=\frac{3}{2}x+\frac{-7}{2}[/tex]

Or, for a more simplified version:

[tex]y=\frac{3x}{2}-\frac{7}{2}[/tex]

Or, for an EVEN MORE simplified version:

[tex]y=\frac{3x-7}{2}[/tex]

Step-by-step explanation:

There are three different forms of answers that I put for you, but they are all still equivalent answers, it’s just that one is more simplified than the other. If I were you, I would pick the most simplified version.

Also, the image below shows step-by-step on how to solve it.

Hope this helps! :)

Answer:

8

Step-by-step explanation:

took the test

have a nice day

mark brainlist plzzzzz

Answer:

3 1/2 puzzles

Step-by-step explanation:

Answer:

0, -4

2,0

-4,0

-2,-8

Step-by-step explanation:

I chose the points that were most visable

Answer:

9/10.034=.89695037

Step-by-step explanation:

Answer:

= 1.114

Solution:

We have the equation:

10.034 ÷ 9 = 1.114

Calculated to 3 decimal places.

     0 1. 1 1 4

9 1 0. 0 3 4

− 0        

 1 0      

−   9      

   1 0    

 −   9    

     1 3  

   −   9  

       4 4

    − 3 6

              8

                 HOPES THIS HELPS YOU!!!

                    CAN YOU PLEASE MARK MINE AS BRAINLIEST????

Answer:

25 i think

Step-by-step explanation:

Answer:

[tex]Sea\ of\ Galilee = -690ft[/tex]

Step-by-step explanation:

Given

[tex]Lowest\ Elevation = 23ft[/tex] below sea level

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

Required

Determine the elevation of the Sea of Galilee

We have that the lowest elevation in Lammefjord is:

[tex]Lowest\ Elevation = -23ft[/tex]

It is negative because, the elevation is below sea level.

Calculating the elevation of Sea of Galilee, we have:

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

[tex]Sea\ of\ Galilee = 30 * -23ft[/tex]

[tex]Sea\ of\ Galilee = -690ft[/tex]

Hence, the elevation of Sea of Galilee is -690ft or 690ft below sea level

Not sure if this is the answer but this is what I got

Answer: y= 4/25 x

Answer:

7 1/3

Step-by-step explanation:

Answer:

d= 2√10

Step-by-step explanation:

y= 3x - 5

3x - y - 5=0

d= | 3* 7 +(-1) * (-4) + (+5) |

     ________________

       [tex]\sqrt{3^{2} } + (-1)^{2}[/tex]

d = | 20 | / [tex]\sqrt{10}[/tex]

d = 20 / [tex]\sqrt{10}[/tex]

d = 2[tex]\sqrt{10}[/tex]

Answer:

5. $562.50  

Step-by-step explanation:

Answer:

The equation would be y=7

Answer: m=6.2t, 148.8 miles

Step-by-step explanation:

to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8

sorry if it's wrong

Answer:

Step-by-step explanation:

both of those equations that are in the system are lines

first line it has a y-intercept at (0, -4) and a slope -1/2 so you can use that to

find another point ( 2 ,-5)

Since the equation has ≥ DRAW a solid line trough points (0, -4) and (2,-5)

Now highligt above the line since (0,0) cheks for the equation

second line goes troughh the points  (0,1) because of y-intercept and point (1,2) because the slope is m=1

draw a solid line trough those points and highlight under the line

the intersection of the 2 highlighted ares is your solution

Answer:

He would have to make 12 sales a week in order to make $240

Step-by-step explanation:

So every week the job pays him $60

And $15 more every sell he makes So 15x12=180

So if he  makes 12 sells in a week he will make $180 dollars.

Plus the 60 the job pays him every week

So 180+60=$240

Answer:57

Step-by-step explanation:

Answer:

hey uh I just wanted to say thank you and helping Yuri she is my world I could not be the person I am without her

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because your angle is in radians, I'm assuming we can use the pre-calculus version of the arc length formula which is

s = rt where s is the arc length, r is radians, and t is the angle in radian measure. Filling in accordingly:

[tex]s=5(\frac{\pi}{3})[/tex] so

[tex]s=\frac{5\pi}{3}[/tex] inches

Answer:

the first one

Step-by-step explanation:

in the first one it says there are no common numbers between x and y which is false.

in the second one its the union of x and y which means that you must list all numbers in x and y without repetition

the third one states that 15,33,1025 are the only numbers that are common between x and y.

so as a breif the first one is wrong

Answer:

first choice

Step-by-step explanation:

Answer:

9 pounds of chocolate candies

6 pounds of sugar candies

Step-by-step explanation:

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 * 5 = 75

7x + 2 * (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

15 - 9 = 6

y = 6

9 pounds of chocolate candies and 6 pounds of sugar candies

The owner should use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb.

He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb.

x + y = 15

y = 15 - x

(7x + 2y) / 15 = 5

7x + 2y = 15 x 5 = 75

7x + 2  (15 - x) = 75

7x + 30 - 2x = 75

5x = 45

x = 9

Now 15 - 9 = 6

y = 6

Threfore, we conclude that 9 pounds of chocolate candies and 6 pounds of sugar candies.

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Answer:

f(17) = $15.75

The amount it takes for a trip of 17 miles is $15.75

Step-by-step explanation:

Here, we want to calculate f(17)

The equation is given as;

y = 0.75x + 3

For f(17), substitute x for 17

y = 0.75(17) + 3

y = 12.75 + 3

y = $15.75

What f(17) means is that the ride was for 17 miles

$15.75 is for a trip of 17 miles

Answer:

1

Step-by-step explanation:

slope m=y2-y1/X2-x1

=6-2/9-5

=4/4= 1