Bob invests $10,000 at 8% annual interest compounded continuously. How much is in the account after 12 years?

$26,033.90

$26,116.96

$25,181.70

$16,116.96​

Each time x goes up by 5, y decreases by 4

We can say the slope is

slope = rise/run

slope = (change in y)/(change in x)

slope = (-4)/(5)

slope = -0.8

The y intercept is 62 because this is the starting y value. The y intercept always occurs when x = 0.

Because the slope is m = -0.8 and the y intercept is b = 62, we go from y = mx+b to y = -0.8x+62

Therefore, the equation is y = -0.8x+62

This is the same as saying y = (-4/5)x+62 since -4/5 = -0.8

-------------------------

Interpretation:

The slope of -0.8 means that the height drops or decreases by 0.8 thousand feet per minute. Recall that y is in thousands. The phrasing "0.8 thousand" is probably better suited to call this 800 since 0.8*1000 = 800.

So it's probably easier to say "the height drops by 800 feet per minute".

As mentioned earlier, the y intercept is the starting height. The table shows x = 0 pair up with y = 62. Therefore, the starting altitude is 62,000 feet. After this point is when the UAV starts its descent.

Put another way: The cruising altitude was 62,000 feet and afterward the aircraft started its descent.

Answer:

A -1.1

B -0.7

C -0.57

D 0.15

E 1.3

Step-by-step explanation:

Answer:

R= 1.69

Step-by-step explanation:

For this, you just have to remember that the volume of a cone is 1/3hπr² (1/3 times pi times the radius squared). Our volume is 12π, so we plug in 12π into our formula, as well as our height of 4 inches, to solve for the radius, like so:

12π=(1/3)(4)πr²

Now we just do the rest of the math.

12π=(1/3)(4)πr²

12=(1/3)(4)r² (divide both sides by π)

3=1/3r² (divide both sides by 4)

9=r² (divide both sides by 1/3)

3=r (take the square root of both sides).

Therefore, the radius of the cone is 3.

Answer:

It's A.

Step-by-step explanation:

I got it right

Answer:

square

(ii) If the diameters are perpendicular to each other, then by joining the ends of two diameters, we get a square.

Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

Answer:

option a..........

Step-by-step explanation:

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

Answer:

a

Step-by-step explanation:

First, find the probability that you will pull a yellow marble. There are 9 yellow marbles and 22 total, so the probability is 9/22. Then, find the probability that you will pull a green marble. There are 7 green out of 22 so the probability is 7/22. To find the probability of both, multiply them.

9/22 * 7/22 is 63/484

Answer:

When a member uses a gym 3 times

Step-by-step explanation:

Answer:

the 25% chance is wrong, it is actually 20%

Step-by-step explanation:

Based on the table of trials shown in the picture, it seems that the 25% chance is wrong. In the table, there are 10 trials and each one has 5 numbers generated, meaning there are a total of 50 numbers generated. Out of these 50 numbers, only 10 are the number 3. Since 3 is the only number that represents a three-point shot, that would make it a 20% (10 / 50) chance that Dane makes a three-point shot in a basketball game.

Answer:

4x(3y+1)

Step-by-step explanation:

Answer:

The value of the slope is 6

Step-by-step explanation:

To get the slope of the line, we are going to make use of the slope equation

Mathematically, we have this as;

m = (y2-y1)/(x2-x1)

where (x1,y1) = (1,2) and (x2,y2) = (2,8)

Substituting these values;

m = (8-2)/(2-1) = 6/1 = 6

Answer:

C. [tex] \frac{\pi}{4} [/tex]

Step-by-step explanation:

[tex]terminal \: point \: of \: \theta = \bigg( \frac{ \sqrt{2} }{2}, \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: (x, \: \: y) = \bigg( \frac{ \sqrt{2} }{2} \: \: \frac{ \sqrt{2} }{2} \bigg) \\ \\ \implies \: x = \frac{ \sqrt{2} }{2}, \: \: y = \frac{ \sqrt{2} }{2} \\ \\ \because \tan \theta = \frac{y}{x} \\ \\ \therefore \tan \theta = \frac{ \frac{ \sqrt{2} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \\\therefore \tan \theta =1 \\ \\ \implies \tan \theta =\tan \bigg( \frac{\pi}{4} \bigg) \\ \\ \implies \: \theta \: = \frac{\pi}{4} [/tex]

Answer:

D.

Step-by-step explanation:

I'm just gonna type random things because the answer needs to be 20 letters long.

( 2x − 27 ) ( −x + 15 )

= ( 2x + −27 ) ( −x + 15 )

= ( 2x ) ( −x ) + ( 2x ) ( 15 ) + ( −27 ) ( −x ) + ( −27 ) ( 15 )

= −2x^2 + 30x + 27x − 405

= −2x^2 + 57x − 405

Answer:

Step-by-step explanation:am

Luca gave them 6 treats.

His father gave them t (unknown) treats.

All together, they got 10 treats.

This would be the equation:

[tex]6+t=10[/tex]

To solve, subtract 6 from each side.

[tex]6-6+t=10-6\\t=4[/tex]

Therefore, Luca's father gave the dogs 4 treats.

Answer: IT IS: A

Step-by-step explanation:

math duh

Answer:

the answer : None of them above

Step-by-step explanation:

the true answer is -6-2q

Answer:

the answer isn't there; the answer is 2.5

Step-by-step explanation:

Answer: Let Maria can rent the kayak for x hours. Thus, Maria can rent the kayak for 8 hours.

Step-by-step explanation:

Answer:

Option 1.

3,619.1 m^3

Step-by-step explanation:

Mark as brainliest if this helped :D

Answer:

13.4 x 2 = 26.8

12.5

HYPOTENUSE:

10^2 + 12.5^2 = 256.25

Square root of 256.25 = around 16

which would equal 256

16 is your hypotenuse.

26.8 + 12.5 + 16 = 55.3 is your perimeter

Answer:

Not sure, read steps.

Step-by-step explanation:

First do the ()

29 - 6 = 23

6 + 5 = 11

SUBTRACT THE INTEGERS:

23 - 11 = 12

So, 2 x 12 = 24.

Answer:

mode is the highest occuring number

7342 none of the numbers appeared twice

: 7 is the highest occuring number

Answer:

Step-by-step explanation:

Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.

Here's our basic equation:

cos31=x/17

or

17 * cos31=x

Put this into the calculator and you get around 15.6

Answer:

16

Step-by-step explanation:

one side is four the other is four 4x4 is 16

Answer:

8

Step-by-step explanation:

Since its 1/2 cm per cube, each side is 4 cubes, 4x1/2 = 2. 2x2x2 = 8

i dont know what it is i can barley see

Answer:

Step-by-step explanation:

For number 1: They are alternate interior angles, so you can set them equal to each other and find the answer that way. The pic is a bit blurry, but I think it's 4x=136, which is simplified to x=34.

For number 2: These are supplementary angles, which means that they add up to 180. 180-125 is 55, which means that 3x+1=55. Simplifying that, x=18.

Number 3: Once again alternate interior angles, which means that 53=x-11. Simplify that and you get x=64

Number 4: These are same side interior angles, and they are supplementary/add up to 180. x+12+110=180. Solved: x=58

Number 5: Same side interior angles. I cant make out the exact numbers on the picture, but basically you add them together and set that equal to 180, then solve like i did above.

Number 6: Alternate interior, so just set them equal to eachother and solve.

Number 7: Same side interior, so add them and set the whole thing equal to 180 like in number 4. Answer: x=10

Number 8: Alternate interior, so just set them equal to eachother. Answer: x=20

Hopefully this helped you understand better, have a great day!