MATHEMATICS HIGH SCHOOL

You want to invest$10,000 dollars. How long will it take to double your investment at an annual
interest rate of 10%, compounded continuously? (Round your answer to the
nearest year)
Using equation A=Pe^rt
^=exponent

Answers

Answer 1
Answer: using the equation         >    A  =  Pe^rt

20000  =    10000e^0.1t    >       10%  =  0.1
 2  = e^0.1t
log 2  =    log e^0.1t               >     log to the base e
log 2  =  0.1t * 1              log e to the base e  =1
0.6931 = 0.1t
t =   6.931
   =    7 years

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Write an equation in the form Ax+By=C, given that m=2/3 and y intercept is (0,-3) where a,b, And c are integers

Answers

Answer:

2x - 3y = 9

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have

m=(2)/(3),\ (0,\ -3)\ro b=-3

Substitute:

y=(2)/(3)x-3

Convert to the standard form (Ax + By = C):

y=(2)/(3)x-3               multiply both sides by 3

3y=3\!\!\!\!\diagup\cdot(2)/(3\!\!\!\!\diagup)x-(3)(3)

3y=2x-9                subtract 2x from both sides

-2x+3y=-9               change the signs

2x-3y=9

A hexagonal prism has vertices. t/f

Answers

true..it does...and it has 12 vertices

Show me how to solve the following problem 12.4 divided by two- fifths

Answers

12.4 divided by 2/5
Start by converting the decimal into fraction;
12.4÷0.4
= 31
Write it down as (124/10)/(2/5). So when you divide fractions you can flip it as (124/10)*(5/2). So after that cross cancel and you can get 31

For the given 4×4 gray level image below: Filter the image by a) 3×3 average filter using zero padding b) Laplacian filter with the given mask w d
​
=
⎝
⎛
​

0
1
0
​

1
−4
1
​

0
1
0
​

⎠
⎞
​

Answers

Answer:

Step-by-step explanation:

a) To filter the given 4x4 gray level image with a 3x3 average filter using zero padding, follow these steps:

1. Apply zero padding to the image by adding an extra layer of zeros around the edges. This ensures that the filter can be applied to all pixels, including those at the image borders.

2. Place the 3x3 average filter over each pixel in the image, centered on that pixel.

3. Multiply the corresponding filter coefficients with the pixel values within the filter region and sum them up.

4. Divide the sum by the total number of coefficients in the filter (which is 3x3 = 9 in this case) to get the average value.

5. Replace the original pixel value with the computed average value.

6. Repeat steps 2-5 for all pixels in the image.

b) To filter the given 4x4 gray level image with the Laplacian filter using the given mask:

1. Place the Laplacian filter mask over each pixel in the image, centered on that pixel.

2. Multiply the corresponding mask coefficients with the pixel values within the filter region and sum them up.

3. Replace the original pixel value with the computed sum.

4. Repeat steps 1-3 for all pixels in the image.

The resulting image will be the filtered output, where each pixel has been modified according to the chosen filter method.

HELPP QUICK PLSSS The solution to a two-variable system is the point on a graph at which the lines cross

Answers

Answer:

b. false, i think!

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

PZ HURRY. find angle b.​

Answers

Answer:

b = 60°

Step-by-step explanation:

If you look at the side under the 30° angle, there's a small red box, signifying a right (90°) angle. Doing the math, then, you would do:

90 = 30 + b

b = 60

60° if im not mistaken. the right angle is 90° and 30°+b is also 90° as 180°-90°=90°. therefore 90°-30°=60°. hope it helped!
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