Trevor deposited $8,000 into a savings account that earns 4% compound interest. How much interest did he earn after three years?

Answer:

Please see the explanation.

Step-by-step explanation:

Let

[tex]f\left(x\right)=cosx[/tex]

By the first principle

[tex]f\:'\left(x\right)=\lim _{h\to 0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right)[/tex]

          [tex]=\lim _{h\to 0}\left(\frac{cos\:\left(x+h\right)-cos\:x}{h}\right)[/tex]

           [tex]=\lim _{h\to 0}\left[\frac{cos\:x\:cos\:h-sin\:x\:sin\:h\:-\:cos\:x}{h}\right][/tex]

           [tex]=\lim _{h\to 0}\left[\frac{-cos\:x\left(1-cos\:h\right)-sin\:x\:sin\:h\:}{h}\right][/tex]

           [tex]=\lim _{h\to 0}\left[\frac{-cos\:x\left(1-cos\:h\right)\:}{h}-\frac{sin\:x\:sin\:h}{h}\right][/tex]

           [tex]=-cosx\:\left(\lim \:_{h\to \:0\:}\frac{1-cos\:h}{h}\right)-sin\:x\:\lim \:\:_{h\to \:\:0}\:\left(\frac{sin\:h}{h}\right)[/tex]

           [tex]=-cosx\:\left(0\right)-sinx\left(1\right)[/tex]

            [tex]=-sin\:x[/tex]

Answer:

y = -x - 4

Step-by-step explanation:

Plug in the point and slope into the equation y = mx + b, and solve for b:

y = mx + b

-6 = -1(2) + b

-6 = -2 + b

-4 = b

Then, plug in b and the slope into y = mx + b

y = -1x - 4

y = -x - 4 is the equation of the line

Answer:

Step-by-step explanation:

To graph that you would start at 4 because that's your y-intercept then you would move down by 1 because z is considered 1 and the negative is only applied to the rise and the run is 3 so from point 3 you would move to the right 3 times and that would be your second point.

Answer:

yes it is

Step-by-step explanation:

each input only has one output (there arent any repeating numbers for x)

Answer:

A. (4,-1)

Step-by-step explanation:

solving by addition/elimination

2x-5y=13 *(2)

4x-10y=26

-8x+10y=-42

_________

-4x= -16

x= 4

2(4)-5y = 13

8-5y=13

-5y=5

y= -1

Answer:the third one I suppose

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

That is becasue they are in the same spot on different parallel lines.

Answer: first multiply the radius by 3.14 them multiply that by the heigh. Then go to cylinder b and do the same. Compare the difference between amounts in the cylinders and you have your answer

Step-by-step explanation:

Answer:

x = 5 which mean that if you replace 5 with the x you will get 90 as your answer.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

∠17x+5≅∠18x

17x-18x=-5

-x=-5

x=5

17x5+5=90°

18x=90°

Answer:

C) (0,5)

Step-by-step explanation:

f(x) is y and x is x

The table is providing you with points

y-y over x-x gives you a slope of -5

Use the points and turn it into a point-slope equation and convert to y-intercept equation

y-15=-5(x+2)

y-15=-5x-10

y=-5x+5

So the y-intercept is 5 or (0,5)

Answer:

5 1/4

Step-by-step explanation:

Answer:

28!

Step-by-step explanation:

28 - 18 = 10,

10 x -2 = -20

Answer:the answer would be A

Step-by-step explanation:

30 divided by 8 = 3.75 which is the ammount of money per galon that Todd spent. There is a 7 cent difference between the ammount todd payed per gallon and the ammount Hope payed for gallon.

Todd paid $0.07 more per gallon of gasoline than Hope is the correct alternative.

Given is that Todd purchased 8 gallons of gasoline for $30. The equation y = 3.68x represents the cost in dollars, y, Hope paid for purchasing x gallons of gasoline.

Unit rate of gasoline in case of Todd will be -

{T} = (30/8) = $3.75

Unit rate of gasoline in case of Hope -

{T} = (30/8) = $3.68

We can write -

$3.75 - $3.68

$0.07

Therefore, Todd paid $0.07 more per gallon of gasoline than Hope is the correct alternative.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Answer:

1. x = -4

2. x = -1/4 or -.25

3. m = 3

1. x = -2.16 or [tex]-2\frac{1}{6}[/tex] or 13/6

2. x = -1/4 or -0.25

3. m = 3

Answer:

800 spectators

Step-by-step explanation:

Using the survey provided above, we can see that the survey population is a total of 150 spectators by adding up all of the spectators. Since only 50 spectators attended 5 or more games then that means that the percentage of the survey population that attended 5 or more games is ...

50 / 150 = 0.3333 or 33.33%

Therefore, if we are supposing that 2,400 spectators attended at least one game this season then we can multiply this population by the percentage of people who tend to attend 5 or more games in order to actually calculate the total number of people who will attend 5 or more games this season.

2,400 * 0.3333 = 800 spectators

Answer:

Step-by-step explanation:

Answer:

Area in blue = 17.38m²

Step-by-step explanation:

Answer:

E. 3/2

Step-by-step explanation:

5/6 + 2/3 = 3/2

Answer:

parallel

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

If you graph these on a graph the beginning part is the same however the second part (the 2 and 30) are different which would just show how far to space the lines because those are  the y-intercept and the fraction part is the slope

Answer:

11<x

x>11

first u subtract 4 on both sides

which leaves u with 11 on the left and x on the right

I think It's 11 I'm not sure

Answer:

Step-by-step explanation:2a-b

Answer:

2a-b

Step-by-step explanation:

We can start by grouping our A's and B's, while making sure to keep their individual signs.

For our A's, we get 3a-a and for our B's, we get 2b-3b.

When we simplify our A's, we get 2a and when we simplify our B's, we get -b.

After grouping them back together, you end up with 2a-b.

Answer:

c

Step-by-step explanation:

hope this helps

:)

Answer:

C

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

You just multiply them together! :)

Answer:

-27

Step-by-step explanation:

Answer:

the answer is 0.75

...................................

Answer:

1 point on (0,-6) and the other on (-3,0)

the left side of the graph should be shaded if you need to

Step-by-step explanation: