what is the sum of 0.03 times 10

Answer:

1 full physical and 33 routine visits per day to maximize income for the day.

Maximum income is $2080.

Step-by-step explanation:

The doctor has 9 hours per day which equals to 9 x 60 = 540 minutes

If there are 10 physicals per day, the maximum minutes will be 45 x 10 = 450 minutes.

so the time left for routine office visits will be 540 - 450 = 90 minutes

then the number of routine office visits will be 90 / 15 = 6

Her income will be ($100 x 10) + ($60 x 6) = 1000 + 360 = $1360

If there is 1 physical per day, then the time will be 45 x 1 = 45 minutes

so time left for routine office visits will be 540 - 45 = 495 minutes

then the number of routine office visits will be 495 / 15 = 33

Her income will be ($100 x 1) + ($60 x 33) = 100 + 1980 = $2080

If there are 2 physicals per day, then the time will be 45 x 2 = 90 minutes

so time left for routine office visits will be 540 - 90 = 450 minutes

then the number of routine office visits will be 450 / 15 = 30

Her income will be ($100 x 2) + ($60 x 30) = 200 + 1800 = $2000

Answer:

Step-by-step explanation:

You want to maximize the doctor's income when she makes $60 for a 15-minute routine visit and $100 for a 45-minute physical. She can work 9 hours per day.

For a routine visit, the doctor is charging $60 for 15 minutes, or $4 per minute.

For a physical, the doctor is charging $100 for 45 minutes, or $2.22 per minute.

Clearly, the doctor earns income faster by spending her time doing routine office visits. There appears to be no limit on the number of those she can do.

Working 9 hours at $4 per minute, the doctor earns ...

  (9 h/day)(60 min/h)($4/min) = $2160/day

The number of routine visits in a day will be ...

  (9 h/day)(60 min/h)/(15 min/visit) = (9·60/15) visits/day = 36 visits/day

The doctor's maximum income is $2160 per day, making 36 routine office visits per day.

__

Additional comment

Each physical will reduce the doctor's income by $80. (In that 45 minutes, she could have done 3 routine visits, for a revenue of 3·60 = 180, instead of the physical for a revenue of 100.)

Answer:

some parts are missing.where is the taxable income

the area inside the curve R is approximately 42.4115 square units.

To find the area inside the curve R, we can use a double integral. The formula for finding the area of a region using a double integral is:

A = ∬R dA

where A is the area of the region R, and dA is an infinitesimal element of area in the region R.

In polar coordinates, dA can be expressed as:

dA = r dr dθ

where r is the radius and θ is the angle.

Substituting this into the formula for the area, we get:

A = ∫₀^2π ∫₀^(5+sinθ) r dr dθ

We can evaluate this integral by integrating first with respect to r and then with respect to θ:

A = ∫₀^2π [1/2 r²] from 0 to (5+sinθ) dθ

A = ∫₀^2π 1/2 (5+sinθ)² dθ

Expanding the square and simplifying, we get:

A = ∫₀^2π 1/2 (25 + 10sinθ + sin²θ) dθ

A = 1/2 ∫₀^2π (25 + 10sinθ + sin²θ) dθ

Using the trigonometric identity sin²θ = (1-cos2θ)/2, we can simplify this to:

A = 1/2 ∫₀^2π (25 + 10sinθ + 1/2 - 1/2cos2θ) dθ

A = 1/2 ∫₀^2π (27/2 + 5sinθ - 1/2cos2θ) dθ

Integrating each term separately, we get:

A = 1/2 [27/2θ - 5cosθ + 1/4sin2θ] from 0 to 2π

A = 1/2 [(27/2)(2π) - 5cos2π + 1/4sin2(2π) - (27/2)(0) - 5cos0 + 1/4sin0]

A = 1/2 (27π)

A = 13.5π

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Answer:

1 is k

2 is 12r minus 20

3   10n - 13

4     -14x

5    -11r

Step-by-step explanation:

think you have to simplify

Answer:

y=x+6

tell me if its right

Answer:  y = x + 6

Step-by-step explanation:

Answer: 40% discount

Step-by-step explanation:

First lets find the difference between original price and sale price so $125-$75= $50

So we get a discount of 50 dollars off the original price

Next lets find out how much of %$125 is that $50 so \(\frac{50}{125}\) as a decimal is .4 or 40%. To check our work lets multiply 125 by 0.4 so 125*0.4= 50 which is the discount.

Therefore, the total amount of money utilized on fuel in June 2022 is R11 095,60.

Percent is a way of expressing a quantity as a fraction of 100. It is denoted by the symbol %, which means "per hundred". Percentages are often used to represent proportions or ratios in various fields, including finance, science, and statistics. For example, an interest rate of 5% means that for every hundred dollars borrowed or invested, five dollars of interest will be charged or earned.

Here,

(a) To calculate the total distance covered by the water tanker in March 2022, we need to find the distance travelled per day and multiply it by the number of days in March.

Distance travelled per day = 2 × 18 = 36 km (since it's a return trip)

Number of weekdays in March = 31 - 4 (Saturdays) = 27

Total distance covered = distance per day × number of weekdays

= 36 km/day × 27 days

= 972 km

(b) To determine the quantity of fuel utilized by the water tanker in March 2022, we need to divide the total distance covered by the average fuel consumption rate.

Fuel consumption rate = 5 km/ℓ

Total distance covered = 972 km

Fuel utilized = total distance covered / fuel consumption rate

= 972 km / 5 km/ℓ

= 194.4 ℓ

(c) To determine the total amount of money utilized on fuel for the water tanker in March 2022, we need to multiply the fuel quantity by the fuel price.

Fuel price in March 2022 = R16,28/ℓ

Fuel utilized = 194.4 ℓ

Total cost of fuel = fuel price × fuel quantity

= R16,28/ℓ × 194.4 ℓ

= R3 163,39

Therefore, the total amount of money utilized on fuel for the water tanker in March 2022 is R3 163,39.

(d) To determine the total amount of money utilized on fuel in June 2022, we need to repeat the above calculation using the June fuel price.

Fuel price in June 2022 = R24,14/ℓ

Fuel capacity = 460 ℓ

Total cost of fuel = fuel price × fuel capacity

= R24,14/ℓ × 460 ℓ

= R11 095,60

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Complete question:

Records of the number of water tankers that were supplied to the construction site appear in the calender on ANNEXURE A. The water source is at a distance of about 18 km (return trip) from the construction site. The water tanker has a fuel capacity of 460 litres.. The rate of fuel consumption of the Mercedes water tanker averages 5 km/ℓ. The prices of fuel per litre in March and June 2022 appear below. JUNE 2022 FUEL PRICES \begin{tabular}{|l|l|} \hline DIESEL & COST \\ \hline 50ppm & R24,14 \\ \hline \end{tabular} Source: 4.1 (a) Calculate the total distance that the water tanker has covered in March (2) 2022. (b) Hence, determine the quantity of fuel that was utilized by the water tanker in March 2022. (c) Determine the total amount of money that was utilized on fuel for the water tanker in March 2022. (2) 4.2 Determine the total amount of money that was utilized on fuel in June 2022.

probability that it will have no errors in poisson distribution is 1/ 2 (e ^−3 + e ^−4.2 ).

Given the event Ti that the article is typed by the ith typist, the number of error follows a Poisson distribution with λi

where λ1 = 3 and λ2 = 4.2.

So P(no error) = P(no error| T1)P(T1) + P(no error| T2)P(T2)

= e^ −3 (3)0 / 0! × 1 /2 + e ^−4.2 (4.2)0 / 0! × 1 /2

= 1/ 2 (e ^−3 + e ^−4.2 ).

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Answer:

1/4*24+18=24

Step-by-step explanation:

1/4x+18=x

1/4x-x=-18

-3/4x=-18

x=-18/(-3/4)

x=-18*-4/3

x=24

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

1/4*24+18=24

Answer:

If 43=x, this means that x is 43

Step-by-step explanation:

Answer:

-14=8x

Step-by-step

-14=3x+5x

-14=8x

If you want the answer for the equation:

-14/8=x

-7/4=x

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

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A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

x + y = 2

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y + 3 = - (x - 5) ← distribute

y + 3 = - x + 5 ( subtract 3 from both sides )

y = - x + 2 ( add x to both sides )

x + y = 2 ← in standard form

Yes. \(f(x)\) is a PDF if

• \(f(x) \ge 0\) for all \(x\) in the support; this is true, since \(e^{-x}>0\) for all \(x\), and multiplying a positive number \(x\) doesn't change this fact;

• the integral of \(f(x)\) over its support is 1; this is also true, since

\(\displaystyle \int_{-\infty}^\infty f(x) \, dx = \int_0^\infty xe^{-x} \, dx = 1\)

which can be computed by parts.

Answer:  50/96

Step-by-step explanation:

I assume the table is:

Even numbers are 2, 4, and 6.  The total number of times she rolled an even number is 13 + 17 + 20 = 50.

So the probability is 50/96

Answer:

Slope = 2x

Y-intercept = 5

Step-by-step explanation:

The problem can be modeled as a linear programming problem. We need to minimize the total cost of shipping the boots, which can be represented as a linear combination of the shipment quantities.

Thus, the objective function to be minimized can be written as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6

32 + y33 ≤ 40 (capacity limit at warehouse 3)

y41 + y42 + y43 ≤ 30 (capacity limit at warehouse 4)

y51 + y52 + y53 ≤ 45 (capacity limit at warehouse 5)

xij, yjk ≥ 0 (non-negativity constraint)

Thus, the complete linear programming problem can be formulated as:

Minimize Z = 4x11 + 5x12 + 7x13 + 6x21 + 4x22 + 5x23 + 4y11 + 3y12 + 6y13 + 5y21 + 5y22 + 4y23 + 6y31 + 7y32 + 5y33 + 4y41 + 6y42 + 5y43 + 5y51 + 4y52 + 6y53

Subject to:

x11 + x12 + x13 ≤ 60

x21 + x22 + x23 ≤ 90

x11 + x21 = y11 + y21 + y31 + y41 + y51

x12 + x22 = y12 + y22 + y32 + y42 + y52

x13 + x23 = y13 + y23 + y33 + y43 + y53

y11 + y12 + y13 ≤ 35

y21 + y22 + y23 ≤ 50

y31 + y32 + y33 ≤ 40

y41 + y42 + y43 ≤ 30

y51 + y52 + y53 ≤ 45

xij, yjk ≥ 0

Solving this linear programming problem using a suitable solver will provide us with the optimal values of xij and yjk, which will help us in determining the minimum cost required for shipping the boots while satisfying all the constraints.

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Answer:

its A: commutative and distributive properties

Step-by-step explanation:

i got it right

The proof used the distributive property and the associative property of multiplication.

Option B is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To be specific, the distributive property was used to break down the expression 4t + t as:

4t + t = (4 + 1)t ________(1)

And then the associative property was used to rearrange the terms as:

(4 + 1)t = 5t ________(2)

From (1) and (2)

We have shown that 4t + t is equivalent to 5t.

Thus,

The proof used the distributive property and the associative property of multiplication.

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Answer:

See below.

Step-by-step explanation:

"1*1=1

2*1=2. 2*2=4

3*2=6,3*3=9

4*2=8,4*3=12,4*4=16

5*2=10,5*3=15, 5*4=20,5*5=25

6*2=12,6*3=18,6*4=24,6*5=30,6*6=36

At last we are getting square numbers...

1^1=1....2^2 =4... 3^3=9....4^4=16..... 5 ^5=25....6 ^6=36"

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Start at 8, double each number, add 2.

8*2=16+2=18

18*2=36+2=38

38*2=76+2=78

78*2=156+2=158

158*2=316+2=318

So, starting at 8, the first five numbers in the sequence is:

8, 18, 38, 78, 158

-hope it helps

Answer:

Step-by-step explanation:

The first pattern:

This is an AP with the first term of 1 and common difference of 1:

The second pattern:

This is an AP with the first term of 2 and common difference of 2:

The third pattern:

This is an AP with the first term of 3 and common difference of 3:

The first term is 8, for the second term, double this and add 2:

Find the first five numbers:

The sequence is:

The compound value interest is solved and term life policy is a better value

Given data ,

To determine which policy is the better value, we need to compare the total cost and potential returns of each option.

For the whole life policy:

Premium per year: $3008

Number of years: 20

Total cost: $3008 * 20 = $60,160

For the term life policy:

Premium per year: $185

Number of years: 20

Total cost: $185 * 20 = $3,700

Now, let's calculate the potential returns from investing the difference in premiums ($3008 - $185 = $2823) in a mutual fund with a 3.75% interest rate compounded annually over 20 years.

Future value of the investment:

Principal (difference in premiums): $2823

Interest rate: 3.75%

Number of years: 20

Using the compound interest formula:

FV = PV * (1 + r)^n

FV = $2823 * (1 + 0.0375)^20

FV = $2823 * (1.0375)^20

FV ≈ $5986.27

Therefore, the potential future value of the investment after 20 years is approximately $5986.27.

To determine the better value, we compare the total cost of each policy and subtract the potential future value of the investment from the cost of the whole life policy:

Better Value = Total Cost of Term Life - (Total Cost of Whole Life - Future Value of Investment)

Better Value = $3,700 - ($60,160 - $5,986.27)

Better Value = $3,700 - $54,173.73

Better Value = -$50,473.73

The result is negative, indicating that the term life policy is a better value by approximately $50,473.73 over 20 years

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The correct answer is A. 0. As diversification increases, the total variance of a portfolio approaches zero.

As diversification increases, the total variance of a portfolio approaches 0, which means that the portfolio becomes less risky. This occurs because diversification spreads the risk across multiple assets, reducing the impact of any single asset on the portfolio's overall performance. The reduction in risk is due to the fact that some assets in the portfolio may perform well while others may not, but the negative performance of some assets is compensated by the positive performance of others, leading to a lower overall portfolio variance. Therefore, option A is the correct answer.

Diversification is an investment strategy that involves spreading an investor's portfolio across different assets, such as stocks, bonds, real estate, and commodities, with the aim of reducing overall risk.

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"Financial" as it is not an effectiveness MIS metric.

To determine which one is not an effectiveness MIS metric, we need to understand the purpose of these metrics. Effectiveness MIS metrics measure how well a system is achieving its intended goals and objectives.

Customer satisfaction is a common metric used to assess the effectiveness of a system. It measures how satisfied customers are with the product or service provided.

Conversion rates refer to the percentage of website visitors who complete a desired action, such as making a purchase. This metric is often used to assess the effectiveness of marketing efforts.

Financial metrics, such as revenue and profit, are crucial indicators of a system's effectiveness in generating financial returns.

Response time measures the speed at which a system responds to user requests, which is an important metric for evaluating system performance.

Therefore, based on the given options, "Financial" is not a type of effectiveness MIS metric. It is a separate category of metrics that focuses on financial performance rather than the overall effectiveness of a system.

In summary, the answer is "Financial" as it is not an effectiveness MIS metric.

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Answer:

\( \boxed{75 < x < 110 \: and \: 0 < y \leqslant 50}\)

Step-by-step explanation:

x - the temperature

y - the number of people

the temperature is between 75 degrees and 110 degrees:

75 < x < 110

the room for 50 people:

0 < y ≤ 50

Answer:

The Answer is 75 < x < 110 and 0 < y ≤ 50

         so C.

Step-by-step explanation:

I took the test

credit to guy above me for breaking the equation down

Given the facts, the percentage of the left brick is 7/12.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions. We categorize its kinds based on these two parameters.

Total Bricks = 12

Use Brick = 5

Left Brick = 12-5

                = 7

fraction of left brick = 7/12

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Answer:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

\(return = C + C*r*t\)

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

\(return = C*e^{r*t}\)

Therefore for the Simply Saving Bank she'll earn:

\(return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300\)

While the Capital Bank she'll earn:

\(return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364\)

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.