The price of a computer after the discount was 1,200$. If the the discount was 20% what was the original sales price?

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

Answer: 0.1

Step-by-step explanation:

your going to substact credit card a and b and then what ever you get will be your answer

Given:

The quadratic equation is:

\(x^2+x-30=0\)

To find:

The solutions of the given equation.

Solution:

We have,

\(x^2+x-30=0\)

Splitting the middle term, we get

\(x^2+6x-5x-30=0\)

\(x(x+6)-5(x+6)=0\)

\((x+6)(x-5)=0\)

Using zero product property, we get

\(x+6=0\) and \(x-5=0\)

\(x=-6\) and \(x=5\)

Therefore, the solutions of the given quadratic equation are -6 and 5.

Answer:

To convert 2 Bigha into Kattha:

If 1 Bigha = 20 Kattha:

2 Bigha = 2 * 20 Kattha = 40 Kattha

If 1 Bigha = 16 Kattha:

2 Bigha = 2 * 16 Kattha = 32 Kattha

When testing a capacitor with an ohmmeter, if a technician obtains a continuous reading of 100Ω, the capacitor is basically good. So, the correct answer is B.

A capacitor is an electronic component that stores electric charge. It consists of two conductive plates separated by a dielectric or insulating material, which is typically made of ceramic, plastic, or paper.

Capacitors come in a variety of shapes and sizes, ranging from small surface-mount components to large cylindrical capacitors used in high-voltage applications.

An ohmmeter, which is an instrument used to measure electrical resistance, can be used to test a capacitor. In the given scenario, if the technician obtains a continuous reading of 100Ω, the capacitor is basically good.

This implies that the capacitor is functioning properly and has no issues, since the reading is within the expected range and indicates that the capacitor is neither open nor internally shorted nor fully charged nor fully discharged.The correct answer is b. Basically good.

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Answer:

Step-by-step explanation:

it is actually in the textbook pg 119

Answer:

See Explanation

Step-by-step explanation:

Given the illustration in the question

Required:

Use deductive reasoning to prove (a)

From your question, you need only the (b) part and this is done as follows;

Step 1: Represent the number with: n

Step 2: Multiply n by 4: 4n

Step 3: Add 10 to (2) above: 4n + 10

Step 4: Divide (3) above by 2: (4n + 10)/2 = 4n/2 + 10/2 = 2n + 5

Step 5: Subtract 5 from (4): 2n + 5 - 5 = n

Hence, the end result is proved to be 2n

Test this with any of the given illustration in (a) part, your answer will always be 2n

The value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

From the question, we are to determine the values of the missing sides

From the diagram,

Opposite = 9

Adjacent = y

Hypotenuse = x

Included angle = 45°

Using SOH CAH TOA, we can write that

\(tan 45^\circ= \frac{9}{y}\)

\(1 = \frac{9}{y}\)

∴ y = 9

Since the triangle is a right triangle, we can write that

x² = y² + 9² (Pythagorean theorem)

x² = 9² + 9²

x² = 81 + 81

x² = 162

x = √162

x = 12.7

Hence, the value of x is 12.7 and the value of y is 9. The correct option is the third option x = 12.7; y = 9

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Answer:

24

Step-by-step explanation:

because it's just a addition so my answer must be right and it's not wrong I swear to God

Answer:

3 + x = 27

✔ subtraction property of equality with 3

x over 6 = 5

✔ multiplication property of equality with 6

The dimensions 520 by 360 feet would guarantee that the garden has the greatest possible area .

Let length be l and width be b of garden .

According to question ,

l + 2b = 1040

Area of garden = l * b

Substituting value of l in formula for area ,

Area = ( 1040 - 2b ) * b = 1040b - 2\(b^{2}\)

Taking derivative of Area wrt. b and putting it equal to 0 ,

1040 - 4b = 0

b = 1040 / 4

b = 260 feet

Therefore , l = 1040 - 520 = 520 feet .

Maximum Area = 260 * 520 = 135200 \(feet^{2}\) .

Hence , the dimensions 520 by 360 feet would guarantee that the garden has the greatest possible area .

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Answer:

Domain: -2, 0, 3, 5

Range: 5, 4, 6, -7

Step-by-step explanation:

The domain is all the values of x and the range is all the values of y.

Note that the expression when simplified translates to x = -6 (Option 1)

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms.

√(x + 14) - √2x + 5) = 1

To solve this, we must square all elements on both sides of the equation. That is:

√(x + 14)² -  √(2x + 5)² = 1²

⇒ x + 14 + 2x + 5 = 1

Collect like terms to arrive at:

3x = -18

x = -18/3

x = -6

Thus the answer to the above expression is x= -6

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Answer: 12

Step-by-step explanation:

Answer:

b . 6 is the length of the hypotenuse

The maximum probability that a photon with the polarization state will be transmitted through the A filter is 1/2

To solve this problem, we need to use Malus' law, which states that the intensity of light transmitted through a polarizer is proportional to the square of the cosine of the angle between the polarization direction of the incoming light and the axis of the polarizer.

To find the overall probability that a photon will be transmitted through all three filters, we need to multiply the probabilities of each filter

P = 1/2 × cos²(θ) × 1

We are not given the angle θ, so we cannot calculate the exact value of P. However, we can calculate the maximum value of P, which occurs when the rotated filter is aligned with the A filter (i.e., θ = 0). In this case, P = 1/2.

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The given question is incomplete, the complete question is:

H filter Rotated filter Rotated filter followed by A filter An unpolarized photon beam is incident on a linear polarizing filter. The incoming photon flux is is 2.34 x 101 photons/m' /sec.  What is the probability that a photo with the polarization state be transmitted through a subsequent filter, that is aligned with the direction?

Answer:  Complementary     x=15

Step-by-step explanation:

Complementary angles add up to 90°, supplementary angles add up to 180°.

We know they add up to 90 so...

3x+45=90

3x=45

x=15

The function g in vertex form is g (x) = –5x^2 – 3.

In this case, the parent function is:

f (x) = x^2

First, after the reflection across the x-axis, we will get:

f (x) = –f (x)

And, the function will be:

g (x) = –x^2

Then, vertically stretched by a factor of 5, we will get:

g (x) = –5x^2

Last, translated 3 units down, we will get:

g (x) = –5x^2 – 3

Thus, the vertex form of the function g will be:

g (x) = –5x^2 – 3

In mathematics, a translation is a transformation which occurs when a figure is moved from one location to another location without changing its size or shape.

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Answer:

(c+3b)/8 = a

Step-by-step explanation:

c = 8a -3b

Add 3b to each side

c +3b = 8a-3b+3b

c +3b = 8a

Divide each side by 8

(c+3b)/8 = 8a/8

(c+3b)/8 = a

The average rate of change over the interval [3,4] is given as follows:

3.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The numeric values for the ends of the interval are given as follows:

Then the change in the output is of:

32 - 29 = 3.

The change in the input is of:

4 - 3 = 1.

Hence the rate is of:

r = 3/1

r = 3.

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a) For chi-squared distribution with v=3 degrees of freedom, the statistic that can be constructed using Xi's is:

X2 = Σ i=1 3 (Xi − i)2 / 3.

X2 has chi-squared distribution with 3 degrees of freedom.

b) For t-distribution with v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

T = (X1 − 1) / [(X2/2)0.5].

T has t-distribution with 2 degrees of freedom.

c) For F-distribution with v1=1 and v=2 degrees of freedom, the statistic that can be constructed using Xi's is:

F = [(X1 − 1)/1] / [(Σi=2 to 3 Xi2) / 2].

F has F-distribution with 1 and 2 degrees of freedom.

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The resulting divide-and-conquer algorithm for matrix multiplication using 25 scalar multiplications and a constant number of scalar additions and subtractions is efficient for multiplying two 3 × 3 matrices.

To analyze the divide-and-conquer algorithm for matrix multiplication, let's set up and solve the recurrence relations based on the given conditions.

Let's assume we have two 3 × 3 matrices A and B, and we want to compute their product C = A × B.

According to the given information, we can perform the matrix multiplication using 25 scalar multiplications and a constant number of scalar additions and subtractions.

In a divide-and-conquer algorithm, we can split the matrices into smaller submatrices to simplify the multiplication process. Let's assume we divide the matrices into 2 × 2 submatrices:

A = [A11 A12]

   [A21 A22]

B = [B11 B12]

   [B21 B22]

C = [C11 C12]

   [C21 C22]

The recurrence relation for this algorithm can be expressed as follows:

C11 = A11 × B11 + A12 × B21

C12 = A11 × B12 + A12 × B22

C21 = A21 × B11 + A22 × B21

C22 = A21 × B12 + A22 × B22

Since each entry of matrix C requires a scalar multiplication and there are four entries in total, we have a total of 4 scalar multiplications.

To solve the recurrence relation, we can express the number of scalar multiplications as a function of the subproblem size. In this case, the subproblem size reduces to 2 × 2 matrices, and the number of scalar multiplications can be considered constant.

Therefore, the resulting divide-and-conquer algorithm for matrix multiplication using 25 scalar multiplications and a constant number of scalar additions and subtractions is efficient for multiplying two 3 × 3 matrices.

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The final volume of the epithelial cell is 50,000 um³ / 2 = 20,000 um³.

To calculate the volume of the epithelial cell, we first need to convert the measurements to the same unit. The scale bar on the picture indicates that 50 um corresponds to the length of the scale bar itself, which measures 2.5 cm. Therefore, 1 cm on the scale bar is equal to 50 um.

Now we can use this conversion factor to determine the length and width of the cell in micrometers. The length of the cell is measured as 5 cm, so it becomes 5 cm * 50 um/cm = 250 um. Similarly, the width of the cell is measured as 2 cm, which becomes 2 cm * 50 um/cm = 100 um.

Since the cell is assumed to be a rectangular box with a thickness of 2 um, the volume can be calculated by multiplying the length, width, and thickness. Thus, the volume of the cell is 250 um * 100 um * 2 um = 50,000 um³.

However, since the thickness of the cell is given as 2 um, we need to consider only the portion of the cell that extends above or below the thickness. Therefore, the final volume of the epithelial cell is 50,000 um³ / 2 = 20,000 um³.

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Answer:

Step-by-step explanation:

RT × TS = PT × TQ

Answer:

2700

Step-by-step explanation:

base times height

45 time 60 = 2700

Answer:

g(-0.0001) = -9

g(0.0001) = -1

g(0) = -1

g(9) undefined

Step-by-step explanation:

g(9) undefined .because the graph have an empty circle

at (9 , 0) which means g is not defined at 9.

Answer: THERE ARE NO RESTRIcTIONS

Step-by-step explanation: X cancels out every number

\( = \frac{ - 3}{4} (p) - \frac{3}{4} ( - 12) + 2(8) + 2( - \frac{1}{4} p) \\ = - \frac{3}{4} p + 9 + 16 - \frac{2}{4} p \\ \\ = - \frac{3}{4} p - \frac{2}{4}p + 9 + 16 \\ = - \frac{5}{4} p + 25\)

ATTACHED IS THE SOLUTION

Answer:

\(-1\frac{1}{4}+25\)

Step-by-step explanation:

first distribute

(-3/4)(p) -(-3/4)(12)

-3/4p+36/4

-3/4p+9

2(8) - 2(1/4p)

16-2/4p

-3/4p+9+16-2/4p

Combines like terms

-5/4p+25

\(-1\frac{1}{4}+25\)

Hopes this helps please mark brainliest

Answer:

n = 24

Step-by-step explanation:

subtract 12

n/4 = 6

multiply by 4

n = 24

Answer: I tryed

6

Step-by-step explanation: 18-12=6