CD players are going out of fashion in the modern era. If 400,000 CD players were sold this year and sales are declining at a rate of 17% per year, how many will be sold 3 years from now?

68,000
6,800,000
240,199
240,198

The recorded time that is most precise among the four different clocks used to time an event is 55.254 seconds. This is because the recording of this time has the highest decimal precision compared to the other three options.

Precision refers to the degree of accuracy of a measurement, calculation, or specification. It's related to the number of digits used to record or express a quantity, and it's a reflection of uncertainty associated with a measurement or calculation. The greater the precision, the more significant digits are recorded. For example, the result of a calculation could be stated as 1.23 or 1.234, or 1.2345 depending on the degree of precision necessary or desired.

To determine which one is the most precise, you can look at the number of decimal places or digits after the decimal point. The option with the most number of decimal places is 55.254 s, which has three decimal places, while the other options have either one or two decimal places. The general rule for determining precision is to look at the smallest division on the scale of the measuring instrument. In this case, it is not given what type of clocks were used, so we cannot determine the smallest division of each clock. However, since 55.254 s has the most decimal places, it is the most precise recording among the four options.

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Answer: I think it’s b

Step-by-step explanation:

Answer:

(2x,2y)

Step-by-step explanation:

Hope this helps!!!

Answer:

Step-by-step explanation:

Since, old figure is the dilated form of the new figure.

For the dilation of the old figure to new by a scale factor 's',

s = \(\frac{\text{Side length of the new figure}}{\text{Side length of the old figure}}\) = \(\frac{2}{4}=\frac{1}{2}\)

Rule for the dilation of a point by a scale factor 'k',

(x, y) → k(x, y)

        → (kx, ky)

If the vertices of the old triangle are dilated by a scale factor of \(\frac{1}{2}\),

Coordinates of the dilated triangle of the old triangle will be,

A(3, 4) → A'(\(\frac{3}{2}\), 2)

B(3, 8) → B'(\(\frac{3}{2}\), 4)

C(5, 4) → C'(\(\frac{5}{2}\), 2)

Now these points are rotated by an angle of 90° counterclockwise about the origin,

Rule for the rotation is,

(x, y) → (-y, x)

\(A'(\frac{3}{2},2)\) → A"(-2, \(\frac{3}{2}\))

B'(\(\frac{3}{2}\), 4) → B"(-4,

C'(\(\frac{5}{2}\), 2) → C"(-2,

Further these points have been reflected across x-axis,

A"(-2, \(\frac{3}{2}\)) → P(-2, -\(\frac{3}{2}\))

B"(-4, \(\frac{3}{2}\)) → Q(-4, -\(\frac{3}{2}\))

C"(-2, \(\frac{5}{2}\)) → R(-2, -\(\frac{5}{2}\))

Therefore, old triangle is dilated by a scale factor of \(\frac{1}{2}\), followed by rotation of 90° counterclockwise about the origin and then reflected across x-axis to form the new triangle.

Answer:

I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.

Answer:

I see nothing tho

Step-by-step explanation:

The Interest he have earned after one year is 12$

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.Simple interest is calculated by multiplying the daily interest rate by the principal, by the number of days that elapse between payments.Simple Interest Formula,The formula for calculating simple interest is:(P x r x t) ÷ 100

P = Principal

r = Rate of Interest

t = Term of the loan/deposit in years

This means that you are multiplying the principal amount with the rate of interest and the tenure of the loan or deposit. Make sure you enter the tenure in years and not months. If you are entering the tenure in months, then the formula will be:

Given, P=200, R=6% , t=1year

putting all these in the formula,

Interest earned will be = \(\frac{200*6*1}{100}\)=12

Thus, the money he has after one year =12$

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What is the effective tax rate if the assessment rate is 50% and the property tax rate is $34.89 per $1000?
The effective tax rate can be calculated by multiplying the assessment rate with the property tax rate. In this case, the assessment rate is 50% or 0.5, and the property tax rate is $34.89 per $1000. To calculate the effective tax rate, we need to multiply the assessment rate by the property tax rate.

The effective tax rate is calculated as follows:
Effective tax rate = Assessment rate * Property tax rate

In this case, the assessment rate is 50% (or 0.5) and the property tax rate is $34.89 per $1000.

So, the effective tax rate would be:

Effective tax rate = 0.5 * $34.89 = $17.445 per $1000.

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Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

The answer is 8300.

Divide 91300 by 11 you will get the answer.

Problem-solving is the act of defining trouble; figuring out the cause of the problem; figuring out, prioritizing, and choosing alternatives for an answer; and enforcing a solution.

Problem-fixing starts with identifying the difficulty. For instance, a teacher might want to discern the way to improve student performance on a writing talent test. To do that, the trainer will assess the writing checks looking for areas of development.

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The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

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Answer:

Step-by-step explanation:

Case 1

O in between A and B

Distance between midpoints:

Case 2

B in between O and A

Distance between midpoints:

Answer:

x=1

Step-by-step explanation:

hope this helps and hope its correct

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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Answer:

it is the first option

Step-by-step explanation:

First step. Switch the greater than sign and turn the linear inequality to slope formula. after that graph the line. it is a dashed line due to not being greater than EQUAL to. if not equaled to then it is dotted. then you need a point as your testing point to see if it is shaded in that area. I chose to(0,0) but you could have chose any point. Once you plug in the zeros you will notice you get the false statement of 0 greater than 15. so obviously that is a no so you shade the opposite side of your testing point. phew

Answer:

A. On a coordinate plane, a dashed straight line has a positive slope and goes through (0, 3) and (10, 7). Everything above and to the left of the line is shaded.

Step-by-step explanation:

Answer:

81.64 ft

Step-by-step explanation:

To find the circunference, You need to know the formula first. that is:

C= πd or 2rπ

so;

26 x 3.14 is

81.64.

Hope this helped

Answer:

81.64 meters

Step-by-step explanation:

The formula for circumference is C=2πr. In your case, you will use 3.14 instead of π. The diameter is 26m, which should be divided by 2 to get the radius.

26/2=13

Then, plug everything in the formula:

C=2×3.14×13

C=81.64m

Okay so they would be vertical angles so (7x-20)=(4x+16)

so the answer is x=12

hope this helps if you can brainliest please

Answer:

the answer is abcdefgh because of that it explains the and

Answer: abcdefgh

Hope this helps

Answer:64 students

Step-by-step explanation:

using the empirical rule, we know that 34% of a normal distribunion is below the mean but above 1 standard deviation. This means that 16% of the students enter before 9:55. Take 16% of 400 and you get the amount of students in before 9:55

The matrix cannot be inverted if any eigenvalue is 0, which also means that the determinant is zero. This suggests a linear dependence between the columns of A. As a result, A is not of full rank and is not invertible.

What does "linearly dependent" mean?

A set's ability to have at least one linear combination of its components equal to zero when the coefficients are taken from another provided set and at least one of those coefficients is not equal to zero.

                  This feature applies to matrices or vectors. adjective that depends on linearity.

What does it mean to be linearly dependent?

A group of non-zero vectors is said to be linearly dependent if at least one of them can be expressed as a linear combination of the others.

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Yes, it is safe, the chock Carmen used to place behind the wheels of her car.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here

We need to calculate the height of the chock and then compare one-fourth of the height of the wheels to the height of the chock,
So,
The height of the chock is given by Pythagorean theorem,
heigh of chock = √9²- 6²
height of chock = √45
height of chock = 6.71 in

Now,
height of the wheel = 24 in

According to the question, The height of the chocks must be at least one-fourth of the height of the wheels to hold the car securely in place.
height of chock ≥ 1/4(height of the wheel)
6.71 ≥ 1/4(24)
6.71 ≥ 6

Thus, Yes it is safe, the chock carmen used to place behind the wheels of her car.

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Answer:

• 85% protein supplement: 480 pounds

• 60% protein ration: 720 pounds

Explanation:

Let the number of pounds of 85% protein supplement required = x

The farmer wants to make 1200 pounds (of a high-grade 70% protein ration).

Therefore, the number of pounds of 60% protein ration required = (1200-x) lbs

First, we add the constituents we are mixing together.

The final protein ration we want to obtain:

Equate both:

Then solve the equation for x.

The number of pounds of the 85% protein supplement he should use is 480 pounds.

The number of pounds of the 60% protein ration he should use is 720 pounds.

Step-by-step explanation:

90% of 700=90/100×700=630

Answer:

630

Step-by-step explanation:

Answer:

B, 15 pencils

Step-by-step explanation:

Our equation: (5 x 42)/14

42 x 5 = 210

210/14= 15

Answer:

not enough info

Step-by-step explanation:

The answer would be 18.8

The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4

\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

\[

P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5

\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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The probabilities are calculated assuming independence of each call and that the success probability remains constant throughout the calls. The calculation results in approximately 0.369, or 36.9%.

a. The probability that, among five voters the student calls, exactly one supports candidate Smith can be calculated using the binomial probability formula. With a success probability of 64% (0.64) and exactly one success (k = 1) out of five trials (n = 5), the probability can be calculated as follows:

[P(X = 1) = \binom{5}{1} \times (0.64)^1 \times (1 - 0.64)^4\]

The calculation results in approximately 0.369, or 36.9%.

b. The probability that, among five voters the student calls, at least one supports candidate Smith can be calculated as the complement of the probability that none of the voters support Smith. Using the binomial probability formula, with a success probability of 64% (0.64) and no success (k = 0) out of five trials (n = 5), the probability can be calculated as follows:

[P(X \geq 1) = 1 - P(X = 0) = 1 - \binom{5}{0} \times (0.64)^0 \times (1 - 0.64)^5\]

The calculation results in approximately 0.997, or 99.7%.

c. The probability that the first voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of not reaching a Smith supporter in the first four calls (0.36) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{First Smith Supporter on Fifth Call}}) = (1 - 0.64)^4 \times 0.64

\]

The calculation results in approximately 0.014, or 1.4%.

d. The probability that the third voter supporting candidate Smith is reached on the fifth call can be calculated as the probability of reaching two Smith supporters in the first four calls (0.64 for the first call, 0.36 for the second call, and 0.36 for the third call) multiplied by the probability of reaching a Smith supporter on the fifth call (0.64):

\[

P(\text{{Third Smith Supporter on Fifth Call}}) = (0.64)^2 \times (1 - 0.64) \times 0.64

\]

The calculation results in approximately 0.147, or 14.7%.

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