Simple interaction on R600 at 5%p. Afor 3years

The patient will pay $452.20 in full today after applying the 15% discount.

If the patient receives a 15% discount for a visit to the healthcare provider and the total charge for the service is $532.00, the patient will pay 100% - 15% = 85% of the total charge.

To calculate the amount the patient will pay in full today, we need to find 85% of $532.00.

85% of $532.00 can be calculated as:

(85/100) * $532.00 = $452.20

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

4739 CDs

Step-by-step explanation:

Given the function that models the rate at which the disc is sold expressed as;

R(t)=20,000e^−0.12t

t is the number of weeks since the CD was first released

We are to look for the number of CDs that are expected to be sold during the first 12 weeks after the release. To do this, you will simply substitute t = 12 into the modeled function and get R(12) as shown;

R(t)=20,000e^−0.12t

R(12)=20,000e^−0.12(12)

R(12)=20,000e^−1.44

R(12)=20,000(0.2369)

R(12) = 4738.56

Hence the total number of CDs expected to be sold to nearest thousand is 4739 CDs

Answer:

127,000

Step-by-step explanation:

you take the integral from 0 to 12 of R(t)

Answer:

Barbados won the Bronze.

Step-by-step explanation:

The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:

1. Trinidad

2. Jamaica

3. Barbados

Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and  the last one was Guyana:

1. Trinidad

2. Jamaica

3. Barbados

4. Haiti

5.Guyana

According to this, the answer is that Barbados won the Bronze.

The length of the hypotenuse is approximately 17 km when rounded to the nearest tenth.

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Given the lengths of the two sides as 15 km and 8 km, let's denote the length of the hypotenuse as 'c'. Applying the Pythagorean theorem, we have:

c^2 = (15 km)^2 + (8 km)^2

c^2 = 225 km^2 + 64 km^2

c^2 = 289 km^2

Taking the square root of both sides to solve for c:

c = √289 km

c ≈ 17 km (rounded to the nearest tenth)

Therefore, the length of the hypotenuse is approximately 17 km when rounded to the nearest tenth.

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the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.Let the length of the rectangular garden be L and the width be W. Then, the area of the garden is given as L x W = 8.

The cost C of enclosing the garden is given by:
C = 20L + 10(2L + W)

Substituting the value of W from the area equation, we get:
C = 20L + 10(2L + 8/L)

Differentiating C with respect to L and equating it to zero to find the minimum cost:
dC/dL = 20 + 20 - 80/L^2 = 0
Solving for L, we get L = 2 ft

Substituting L = 2 in the area equation, we get:
W = 4 ft

Therefore, the dimensions of the garden that minimize the cost are L = 2 ft and W = 4 ft.
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Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer: A. He had lost his dog in the vast, open areas.

Step-by-step explanation:

The Chrysanthemums" is a story about a woman whose name was Elisa Allen. She was frustrated about her present condition as she didn't have a child and her husband didn't find her romantically pleasing.

In the book, the reason why the man in the caravan came to the farmhouse where Elisa stayed was because he had lost his dog in the vast, open areas.

A = 29.745

you can use the law of sine

The Analyst can use COALESCE function to eliminate the null values from the results.

The SQL Coalesce functions is used to handle NULL values. During the expression evaluation process the NULL values are replaced with the user-defined value. It  returns the first non-NULL value from a series of expressions.

The SQL Coalesce function evaluates the arguments in order and always returns first non-null value from the defined argument list.

Few Properties of COALESCE Function

SYNTAX -

COALESCE ( expression [ ,...n ] )  

Hence, the analyst can use COALESCE function to eliminate the null values from the results.

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Answer:

Step-by-step explanation:

question must be f(x)=5x-2/6

fog(x)= [5(6x+2/5)-2]/6 = [6x+2-2] /6 = x

gof(x)= [6(5x-2/6) +2]/5 = [ 5x-2+2]/5 = x

hence fog(x)=gof(x)

Answer:

4 units

Step-by-step explanation:

The complete question is

BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?

The picture of the question in the attached figure

we know that

The Intersecting Chord Theorem states that:  When two chords intersect each other inside a circle,the products of their segments are equal.

do

In this problem

substitute the given values

solve for x

therefore

The length of segment AY is 4 units

The probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs can be determined by comparing the sampling distributions of the means of both groups. Given that the weights of cats are roughly Normally distributed and the weights of dogs are skewed to the right, we can use statistical techniques to find the probability.

To compare the sample means, we need to standardize them using the Central Limit Theorem. The sampling distribution of the sample mean weight for cats can be approximated as a Normal distribution with a mean of 9.5 pounds and a standard deviation of 2/sqrt(8) pounds (assuming a sample size of 8 cats). Similarly, the sampling distribution of the sample mean weight for dogs can be approximated as a Normal distribution with a mean of 28 pounds and a standard deviation of 14/sqrt(10) pounds (assuming a sample size of 10 dogs).
To find the probability that the sample mean weight of cats is greater than the sample mean weight of dogs, we can calculate the z-score for the difference between the two means and find the corresponding probability from the Normal distribution. However, since the weights of dogs are skewed to the right, it is likely that the sample mean weight of dogs will be greater than the sample mean weight of cats.
Therefore, the probability that the sample mean weight of the cats is greater than the sample mean weight of the dogs is approximately 0, as stated in option (a).

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The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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To align his experimental results more closely with the theoretical probability, Jamie should increase the number of trials he performs when rolling the 6-sided die.

To make Jamie's experimental results more closely match the theoretical probability, he can increase the number of trials. By increasing the number of times he rolls the 6-sided die, Jamie can gather a larger sample size, which helps reduce the impact of random variations and provides a more accurate representation of the underlying probabilities.

The experimental probability is calculated by dividing the number of times an event occurs (in this case, rolling a 2) by the total number of trials. As Jamie increases the number of trials, the experimental probability tends to converge towards the theoretical probability.

Increasing the number of sides on the die or decreasing the number of trials would not necessarily improve the accuracy of Jamie's results. The theoretical probability is based on the assumption of a fair 6-sided die, so changing the number of sides would alter the theoretical probability.

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The solution to the equation 1 is p = -7. and the only solution to the   equation2  is k = 2.

what is  equation?

An equation is a mathematical statement that asserts the equality of two expressions. It usually contains one or more variables (letters that represent unknown values) and an equal sign. The goal of solving an equation is to find the values of the variables that make the equation true.

In the given question,

Starting with -49 = -7√(p+8):

Dividing both sides by -7, we get:

7√(p+8) = 7

Dividing both sides by 7, we get:

√(p+8) = 1

Squaring both sides, we get:

p+8 = 1

Subtracting 8 from both sides, we get:

p = -7

Therefore, the solution to the equation is p = -7.

Starting with √(6-k) = k:

Squaring both sides, we get:

6-k = k²

Rearranging, we get:

k²+ k - 6 = 0

We can factor this quadratic equation as:

(k+3)(k-2) = 0

Therefore, the solutions to the equation are:

k+3 = 0 or k-2 = 0

Solving for k, we get:

k = -3 or k = 2

However, we need to check whether these solutions satisfy the original equation, since we squared both sides and introduced extraneous solutions:

When k = -3:

√(6-k) = √(6-(-3)) = √9 = 3

k = -3 is not a solution.

When k = 2:

√(6-k) = √(6-2) = √4 = 2

k = 2 is a solution.

Therefore, the only solution to the equation is k = 2.

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Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft\(^2\)

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

\(Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2\)

Answer:

3. 200ft
4. 21ft
5. 37.5m
6. 4.2ft

Step-by-step explanation:

3. use proportions:
\(\frac{h}{50} = \frac{50}{12.5}\)
50(50) = 12.5h
h = 200ft

4.
\(\frac{h}{6} =\frac{7}{2}\)
6(7) = 2h
h = 21ft

5.
\(\frac{25}{8} =\frac{x}{12}\)
25(12) = 8x
x = 37.5m

6.
\(\frac{9}{15} =\frac{h}{7}\)
9(7) = 15h
h = 4.2ft

Answer:

y=mx+b :)

Step-by-step explanation:

Answer:

n = 2

Step-by-step explanation:

16 + 2n = 20

2n = 4

n = 2

The value of the stock after the increase of 1/4(fraction) using the addition expression is equal to $11.75. 

In Mathematics, a fraction is defined as the portion/part of the whole thing. A fraction consists of two parts, numerator and denominator. The number on the top is known as the numerator, and the number on the bottom is known as the denominator.

Given,

         The initial value of stock = $11.50

         Increase in stock ( in fraction) = 1/4

We know that earlier in the stock market the changes in values were indicated by fractions which represent portions of $1

Therefore,

               Increase in value of stock = 1/4 * $1

                                                         =  $0.25

Hence, 

          Value of stock after increase = $11.50 + $0.25

                                                        = $11.75

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Answer:

Step-by-step explanation:

the triangles have two equal sides

and one angle

a. To determine the probability of Frank McKinnis winning the hot dog eating contest, we need to convert the odds in favor of him winning (4:7) into a probability.

The probability of an event occurring can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the odds of 4:7 imply that there are 4 favorable outcomes to every 7 possible outcomes. So the probability of Frank winning is 4/(4+7) = 4/11, which is approximately 0.364 or 36.4%.

b. The probability of Frank not winning the contest can be calculated by subtracting the probability of him winning from 1. So the probability of Frank not winning is 1 - 4/11 = 7/11, which is approximately 0.636 or 63.6%.

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Answer:

Step-by-step explanation:

Perimerter is 9.6ft

The domain of the function f(x) is all real numbers greater than or equal to -5/2, except x = 5. In interval notation, this can be written as:Domain: [-5/2, 5) U (5, ∞)

The function f(x) is defined by a square root term and a denominator which contains x. For real-valued functions, the domain is defined as the set of all values of x for which the expression inside the square root is non-negative, and the denominator is not equal to zero.

So, first we need to find the set of values of x that would make the expression inside the square root non-negative.

2x + 5 ≥ 0

2x ≥ -5

x ≥ -5/2

Therefore, the range of valid values of x is x ≥ -5/2.

Next, we need to ensure that the denominator is not equal to zero:

x - 5 ≠ 0

This inequality holds for all values of x except x = 5.

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The elements of Z3[x]/(x^2 - x) are of the form ax + b that is multiplication table, where a and b are elements of Z3.

The multiplication table is:

  | 0   1   x   1+x   2   2+x

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

0 | 0   0   0    0   0   0

1 | 0   1   x   1+x  2  2+x

x | 0   x  2x  2+x   x  1+2x

1+x| 0  1+x 2+x   2  2+x  x

2 | 0   2   x   2+x  1  1+x

2+x| 0  2+x 1+2x  x  1+x 2

Note that in this table, we use the fact that x^2 - x = 0, which implies that x^2 = x.

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Answer:

m<CAB = 59

m<ACB = 59

Step-by-step explanation:

4x - 41 = 2x + 9

2x - 41 = 9

2x = 50

x = 25

m<CAB: 4x - 41

4(25) - 41

59

m<ACB: 2x + 9

2(25) + 9

59