The average out-of-pocket costs for beneficiaries in traditional Medicare (including premiums, cost sharing, and prescription drugs not covered by Medicare) is projected to grow at the rate C'(t) = 12.288t 150.5594t + 695.23 Rand/year, where t is measured in 5-year intervals, with t. O corresponding to 2010. The out-of-pocket costs for beneficiaries in 2010 were R3142. The projected average out-of-pocket costs for beneficiaries in 2020, i.e., C(2), is ​

Answer:

rational function is:

f(x) = (x² - 4x - 5) / (x - 9)

To find f(5), we substitute x = 5:

f(5) = (5² - 4(5) - 5) / (5 - 9) = (-10) / (-4) = 5/2

To find f(9), we substitute x = 9:

f(9) = (9² - 4(9) - 5) / (9 - 9) = undefined

The function value f(9) is undefined because the denominator becomes zero, which makes the expression undefined.

To find f(7), we substitute x = 7:

f(7) = (7² - 4(7) - 5) / (7 - 9) = (-10) / (-2) = 5

Therefore, the function values are:

f(5) = 5/2

f(9) = undefined

f(7) = 5

Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

Hence ,10 Hispanic students in Ms. Vitals Wednesday night aerobics class.

Aerobics is a form of physical exercise that combines rhythmic aerobic exercise with strength and stretching training routines with the goal of improving all elements of fitness ( cardio-vascular fitness, flexibility and muscular strength ).

The percentage  can be  found by  dividing the  value by the total value and then multiplying the  result by 100. The formula  used to  calculate  the  percentage is: \(\frac{value}{total value}\)×100%.

To find out  how many of the  students in Ms.  Vitals aerobics class are Hispanic,

first of all to determine  the percentage of students  are not African American or Caucasian.

The percentage  of students are African American is 30%, and the percentage are Caucasian is 45%. Therefore, the percentage of students are not African American or Caucasian is;

100% - 30% - 45% = 25%

So, 25% of  the students in the aerobics class are Hispanic.

To find the number of students are Hispanic,  we need to calculate 25% of the total number of  students;

25% of 40 students = \(\frac{25}{100}\) x 40 = 0.25×40=10 students

Therefore, there are 10 Hispanic students in Ms. Vitals Wednesday night aerobics class.

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The probability Julian chooses a blue hat is 1/3.

Probability refers to the branch of math which deals with finding out the likelihood of the occurrence of an event.

Total hat is:

= 25+20+40+30+25+1

= 150.

There are a total of 150 hats to choose from.

The number of blue hats to choose from is:

= 40 + 10

= 50.

The probability that Julian chooses a blue hat is:

= 50/150

= 1/3

= 0.33 or 33.33%.

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Answer:

7

Step-by-step explanation:

Answer:

x = 9

y = 5

Step-by-step explanation:

-4 x + 9y =9

x -3y =-6

Rearrange like terms to the same side of equation

-4x + 9y =

x = -6 +3y

Substitute into one of the equations

-4(-6 +3y) +9y =9

If you like my solving kindly heat the brainiest:> Thank you

Answer:

\(d \approx 2.2\)

Step-by-step explanation:

It is the same process as in previous problems.

Once the origin is the point (0, 0):

\(d=\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}\)

\(d=\sqrt{(2-0)^2 + (-1-0)^2}\)

\(d=\sqrt{2^2 + (-1)^2}\)

\(d=\sqrt{5}\)

\(d \approx 2.2\)

Answer:

2.2

Step-by-step explanation:

The distance formula

\(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\) with

\(x_1=0\\y_1=0\\x_2=2\\y_2=-1\)

\(\sqrt{(0-2)^2+(0-(-1))^2}=\sqrt{2^2+1^2}=\sqrt{5}\)

\(\sqrt{5} =2.2360...=2.2\)

Answer:

86% is the percent of the book has Sarah left to read?

Answer:

(0.782, 0.85)

Step-by-step explanation:

Here

The sample size =  500

Number of favourable cases = 408

Confidence interval = 95%

Proportion of sample = 408/500 = 0.816

Critical value for alpha = 0.05 is z (1-alpha/2) = 1.96

Confidence interval = p -zc * sqrt (p(1-p)/n), p + zc * sqrt (p(1-p)/n)

Substituting the given values we get –  

0.816-1.96 * sqrt (0.816(1-0.816)/500), 0.816+1.96 * sqrt (0.816(1-0.816)/500)

(0.782, 0.85)

Answer:

12 / C

Step-by-step explanation:

Let C = cereal

Answer: 87.5%

hope this helps! :)

Answer:

A

Step-by-step explanation: i just did the test

The rate of interest is given by the equation R = 2.4 %

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the rate of interest be represented as R

Now , the equation will be

The amount with interest is A = $ 65,783.91

The principal amount P = $ 65,000

The time period b = 6 months = 0.5 years

The number of times interest is applied n = 12

So , A = P ( 1 + r/n )ⁿᵇ

And , the rate of interest R = n [ ( A/P )^1/nt - 1 ]

Substituting the values in the equation , we get

The rate of interest R = 12 [ ( 65,783/65,000 )^1/6 - 1 ]

On simplifying the equation , we get

The rate of interest R = 0.024

So , the percentage of interest = 0.024 x 100

The rate of interest R = 2.4 %

Hence , the rate of interest is 2.4 %

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No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

Answer:

20cm Perimeter: 90

Step-by-step explanation:

Hope this helps!(^-^)

Step-by-step explanation:

area of rectangular sheet is 500 CM square

length =25cm

area =l×b

500cm2=25cm×b

500cm2÷25cm=b

20cm=b

b=20cm

again,

perimeter =2(l+b)

perimeter =2(25cm+20)

perimeter =2×45

perimeter =90cm

50 % =20 Learners

100%= x

x=100/50

=2

=2×20

=40 learners

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Since we know that angle 2 = 68 degrees and angle 1 is supplementary,

180 = 68 + <1

Subtract 68 from both sides.

112 = <1

4 is opposite of a 90 degree angle, therefore, it is also 90 degrees.

Angle 3 is supplementary to angle 4

180 = 90 + <3

Subtract 90 from both sides.

90 = <3

Since we know two Interior angles, we can find the third.

180 = 90 + 68 + <5

Combine like terms

180 = 158 + <5

Subtract 158 from both sides.

22 = <5

<5 and <6 are supplementary.

180 = 22 + <6

Subtract 22 from both sides.

158 = <6

In conclusion,

<1 = 112

<2 = 68

<3 = 90

<4 = 90

<5 = 22

<6 = 158

Answer:

No, it is not.

Step-by-step explanation:

You graph the inequality by finding the boundary line, then shading the appropriate area.

Step-by-step explanation:

To calculate the amount of air used to fill a spherical balloon, we need to determine its volume. The volume of a sphere can be calculated using the formula:

Volume = (4/3) × π × radius³

Given that the radius of the balloon is 165 mm, we can substitute this value into the formula:

Volume = (4/3) × π × (165 mm)³

Now, let's calculate the volume of the balloon:

Volume = (4/3) × 3.14159 × (165 mm)³

Volume ≈ 4.18879 × (165 mm)³

Evaluating this expression will give us the volume of the balloon in cubic millimeters. However, to express it in a more practical unit, such as liters, we need to convert the volume from cubic millimeters to liters.

1 liter = 1000 cubic centimeters (cc)

1 cubic centimeter (cc) = 1 milliliter (ml)

1 milliliter (ml) = 1 cubic millimeter (mm³)

To convert the volume from cubic millimeters to liters, we divide the volume by 1000:

Volume (liters) = Volume (cubic millimeters) / 1000

So, let's calculate the volume of the balloon in liters:

Volume (liters) = (4.18879 × (165 mm)³) / 1000

Using a calculator to evaluate this expression, we find:

Volume (liters) ≈ 7.976 liters

Therefore, approximately 7.976 liters of air were used to fill the spherical balloon.

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

The value of the logarithm equation is given by x = [ ln ( 4 ) - 5 ] / 4

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the logarithm equation be represented as A

Now , the value of A is

e⁽ ²ˣ ⁺ ⁵ ⁾ = 4   be equation (1)

On simplifying the equation , we get

Taking logarithm on both sides of the equation , we get

2x + 5 = ln ( 4 )

On simplifying the equation , we get

ln ( 4 ) = 2x + 5

Subtracting 5 on both sides of the equation , we get

2x = ln ( 4 ) - 5

Divide by 2 on both sides of the equation , we get

x = [ ln ( 4 ) - 5 ] / 4

Hence , the equation is  x = [ ln ( 4 ) - 5 ] / 4

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3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

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The probability of getting a number greater than 3 when the spinner is spun once is the probability of getting a 4, 5, 6, 7, or 8, which are five out of the eight possible outcomes.

So, the probability of getting a number greater than 3 is:

P(greater than 3) = 5/8

Therefore, the answer is 0.625.

The next three numbers here would be 0, 10, 1011, 1031, 102113, 10311213, 10411223, 1031221314, 1041222314.

The term number sequence is used to refer to the list of numbers that have the relationship of having a linked rule. The number that follows in the sequence has to be worked out from the previous numbers in that particular sequence. You have to follow the particular rule to be able to work out the number that has to follow in the sequence.

For example we have these numbers 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 etc. We would have to understand the pattern of numbers that are in the sequence. We can see that there is a difference of 3 between the number that succeeds the previous one in the sequence.

The first value here is given to be 0

Next we have the 1 0 = 10

The next that we have is 1 0 and 1 1 written as 1011

Next is 1 zero and three one = 1031

We continue to follow the pattern till we arrive at 1041222314. This is where the sequence would then have to stop.

Hence we have to conclude that the next numbers are 10411223, 1031221314, 1041222314.

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Radius of sphere is ~

Now, let's find the volume ~

Answer:  I think its answer d) -not really sure

step-by-step explanation:  4.4  -move decimal one time to the right, the thenths place is the 4 and because its a low number it wont increse..

Answer:

13.5

Step-by-step explanation:

72/(16/3)

The absolute value inequalities for the different lengths are

1) 4.19 ≤  x ≤  4.21

2) 3.3 ≤  x ≤  3.7

What is an absolute value inequality?

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|.

An expression using absolute functions and inequality signs is known as an absolute value inequality. One example of an absolute value inequality with a larger than symbol is the statement |x + 3| > 1.

1)  length x = 4.2 cm with a tolerance of 0.01 cm

Absolute value inequality is:

|x - 4.2| ≤ 0.01

This can be written as:

           x ≤ 4.21

            x ≥ 4.19

2)  length x =  3.5 cm with a tolerance of 0.2 cm

Absolute value inequality is:

|x - 3.5| ≤ 0.2

This can be written as:

           x ≤ 3.7

            x ≥ 3.3

Therefore the absolute value inequalities for the different lengths are

1) 4.19 ≤  x ≤  4.21

2) 3.3 ≤  x ≤  3.7

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The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

To find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:

Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.

Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.

Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.

Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.

Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).

Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).

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Approximately 17.65% of Ana's salary is withheld for taxes.

To calculate the percentage of Ana's salary that is withheld for taxes, we need to determine the amount of tax withheld and then express it as a percentage of her net salary.

Number of hours worked per week (H) = 25 hours

Hourly wage (W) = $10

Net salary (S) = $212.50

Calculate the total earnings before taxes:

Total earnings = Hours worked * Hourly wage

Total earnings = 25 hours * $10/hour

Total earnings = $250

Determine the amount of tax withheld:

Tax withheld = Total earnings - Net salary

Tax withheld = $250 - $212.50

Tax withheld = $37.50

Calculate the percentage of salary withheld for taxes:

Percentage withheld = (Tax withheld / Net salary) * 100

Percentage withheld = ($37.50 / $212.50) * 100

Percentage withheld ≈ 17.65%

Therefore, approximately 17.65% of Ana's salary is withheld for taxes.

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Answer:

C.

Step-by-step:

The measure of angle A is congruent to the measure of angle P.