What is the sum of k° + i°?

The monthly payment for a one-year loan = $1,081.00

The higher the period of time, the lesser the monthly payment of a loan.

Claire needs to borrow $12,000 from a local bank with an interest of 8.1% which is,

8.1/100 × $12,000 =$972

This means after one year she will pay back;

$12,000 + $972 = $12,972

Therefore, monthly payment for a year loan = 12972/12

= $1,081.00

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Answer:

25 hits

Step-by-step explanation:

you would divide 1000 by 40 and get 25

Answer:

x = 6

ABC = 24

BCA = 66

Step-by-step explanation:

Complementary angles equal 90°

4x + 11x = 90

Add 4x and 11x

15x = 90

Divide by 15

x = 6

Replace x with 6

4 · 6 = 24

11 · 6 = 66

Check:

24 + 66 = 90

I hope this helps!!!

Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

The expression that shows "3 less than a number" is B. n - 3.

Mathematical operations must be carried out in a specific order according to a set of rules known as the order of operations. The following is the order of events:

Operation inside brackets should come first. Expressions containing exponents should be evaluated next.

Division and Multiplication: Carry out division and multiplication from left to right. Addition and subtraction: Move from left to right when adding and subtracting. It is crucial to adhere to the order of operations since it guarantees accurate and consistent evaluation of mathematical expressions.

When we break the given phrase in to mathematical expression we have:

n - 3.

Hence, the expression that shows "3 less than a number" is B. n - 3.

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Answer:Part 1) Helen will need 38 feet of fencing

Part 2) The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

Part 1) How much fencing will Helen need?

Find out the perimeter

we know that

The perimeter of the figure is equal to the sum of three sides of the rectangular section plus the circumference of a semicircle

so

we have

substitute

therefore

Helen will need 38 feet of fencing

Part 2)  What is the perimeter around the three sides of the rectangular section of the garden?

we have

substitute

therefore

The perimeter around the three sides of the rectangular section of the garden is 27 feet

Part 3) What is the approximate distance around half of the circle?

Find the circumference of semicircle

we have

substitute

therefore

The approximate distance around half of the circle is 11 feet

Step-by-step explanation:

and you put your answer in the first part so I don't know why you needed any help?

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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Answer:

B/2

Step-by-step explanation:

Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment. Then the correct option is B.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes.

The best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes will be

Kasey will need to conduct more trials because the number of samples is more.

Gerald will need to conduct fewer trials because the number of samples is less.

Then the correct option is B.

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Answer:

10.35

Step-by-step explanation:

63,756 x 60 = 3825360

70 x 5,280 = 369600

3825360 ÷ 369600 = 10.35

Answer:

the number of children = 156

the number of adults = 183

Step-by-step explanation:

let x be the number of children

    y be the number of adults

We have to solve this system:

\(\begin{cases}x+y=339&\\ 1.75x + 2.50y = 730.50&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=339-x&\\ 1.75x + 2.50(339-x) = 730.50&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x + 847.5 = 730.50&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x =-117&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=339-156=183&\\ x =156&\end{cases}\)

Answer:

Yes

Step-by-step explanation:

The slope is -2 if you plug it into the formula and the y-intercept is clearly 3.

If the coordimate is reflected over y = -2, hence the resulting coordinate wil be A = (4, -2), B = (2, 3), C = (-6, 2) and D = (2, 2)

Given the coordinate of the quadrilateral shown below

A = (-2, -2)

B = (-1, 3)

C = (3, 2

D = (-1, 2)

Reflecting the coordinates over the y - axis will give:

A = (2, -2)

B = (1, 3)

C = (-3, 2)

D = (1, 2)

If the coordimate is reflected over y = -2, hence the resulting coordinate wil be:

A = (4, -2)

B = (2, 3)

C = (-6, 2)

D = (2, 2)

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Answer:

The sum of 25 and 16 is 41.

Step-by-step explanation:

The sum of two numbers, 25 and 16, you can break apart the addends and add them separately to simplify the process. Here's how you can do it:

Break apart the numbers into their place values: For 25, you have 20 and 5, and for 16, you have 10 and 6. This step helps you work with the place values individually.

Add the tens place: In this case, you have 20 (from 25) and 10 (from 16). Adding them gives you 30.

Add the ones place: Now you add the ones place, which is 5 (from 25) and 6 (from 16). Adding them gives you 11.

Combine the sum of the tens place and the sum of the ones place: Take the sum of 30 (from step 2) and 11 (from step 3). Adding them together gives you 41.

So, the sun is 41.

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Answer:

\(\boxed{v_c=60ft^3}\)

Step-by-step explanation:

The following formula gives the volume of a rectangular prism:

\(V_c= w \times l \times h\)

In this case, we know:

\(w \times l = 20 ft^2\)

and:

\(h= 3ft\)

So:

\(V_c= 20 f^2 \times 3ft\\v_c=60ft^3\)

\(\text{-B$\mathfrak{randon}$VN}\)

Answer:

x = 6

Step-by-step explanation:

35 - 2x = 23

35 - 23 - 2x = 0

35 - 23 = 2x

12 = 2x

x = 6

35- 2x = 23

Subtract 35 from both sides.

Subtract 35 from 23 to get −12.

Divide both sides by −2.

Divide −12 by −2 to get 6.

Using exponential function concepts, it is found that it represents a decay of 19.4%.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, the function is:

\(A(x) = 5800(0.806)^x\)

Since the rate of change is less than 1, it is a decay.

Then:

1 - r = 0.806.

r = 1 - 0.806 = 0.194.

The function represents a decay of 19.4%.

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To solve questions 1 and 2, convert your weight of 130 pounds to 58.5 kilograms by multiplying by 0.45. Convert your height of 5'2" to 1.57 meters by converting feet to inches and then to meters using the provided conversion factor.

For question 1, convert your weight from pounds to kilograms by multiplying it by the conversion factor 0.45 kg/lb. In this case, 130 pounds would be equal to 58.5 kilograms (130 * 0.45).

For question 2, convert your height from feet and inches to meters. First, convert your height in feet to inches by multiplying it by 12 (since 1 foot = 12 inches). Then, add the inches to the total. Next, convert the total inches to meters by multiplying it by the conversion factor 0.0254 m/inch.

In this case, 5 feet and 2 inches would be equal to 1.57 meters ((5 * 12 + 2) * 0.0254).

By converting your weight to kilograms and your height to meters, you can now express your weight and height in metric units.

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A series is the sum of the terms in a particular sequence. There are 18 terms in the given series generated.

A series is the sum of the terms in a particular sequence. These phrases are often real or complex numbers, but they can be considerably more generic.

Given the first term is 12, while the series is generated by the equation t(n)=−9 + 21n. Also, the sum of the series is 3429. Therefore, the equation of the sum can be written as,

\(-9n+21\dfrac{(n^2+n)}{2} = 3429\)

-18n + 21n² + 21n = 6858

21n² + 21n - 18n - 6858 = 0

21n² + 3n - 6858 = 0

7n² + n - 2286 = 0

n=-18.143, 18

Since the value can not be negative, therefore, n is equal to 18.

Hence, there are 18 terms in the given series generated.

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Answer:

0.004

Step-by-step explanation:

The question is tell us 2/5% or 0.4%. We simply divide 0.4 by 100 to get our answer of 0.004.

The annual tax revenue in City B in 2000 was $578,000.

From the graph, we can see that City B experienced a percent change of -28% from 1990 to 1995 and a percent change of -32% from 1995 to 2000

To find the annual tax revenue in City B in 2000, we start with the revenue in 1990, which is given as $800,000.

First, we calculate the tax revenue after the percent change from 1990 to 1995:

Revenue in 1995 = $800,000 + (-28% of $800,000) = $800,000 - $224,000 = $576,000

Next, we calculate the tax revenue after the percent change from 1995 to 2000:

Revenue in 2000 = $576,000 + (-32% of $576,000) = $576,000 - $184,320 = $391,680

Therefore, the annual tax revenue in City B in 2000 is $391,680, which is closest to $578,000 from the given answer choices.

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Answer:

14.0

Step-by-step explanation:

when rounded to the nearest tenth, 13.989 is 14.0.

Answer:

Hey!

Your answer for your lil' sis is 14!

Step-by-step explanation:

The tenth column is the column directly after the decimal point...

GREATER THAN 5 = Round up...

LESS THAN 5 = Round down...

So in this case it is 9 SO WE ROUND UP

This makes it 14.0

Answer:

1130 cars need washed

Step-by-step explanation:

you plus $150 to how $5500 which equals $5650 then you divide $5650 divide $5 which is 1130 cars so to make a profit of $5500 you need to wash 1,130 cars

Answer: y=12

Step-by-step explanation:

Distribute

Add 10 to both sides

Simplify.

Answer: y = 12

Step-by-step explanation:

2 ( \(y\\\) - 5 ) = 14

2\(y\\\) - 2 · 5 = 14

2\(y\\\) - 10 = 14

(2\(y\\\) - 10) + 10 = 14 + 10

2\(y\\\) = 24

\(\frac{2y}{2} = \frac{24}{2}\)

Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.

The volume of a rectangular prism of lenght l, width w and height h is given by:

V = lwh.

Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:

V1 = 20 x 10 x 7 = 1400 in³.

Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:

V2 = 20 x 4 x 4 = 320 in³.

Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:

V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.

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The probability that a randomly chosen part is defective is 0.16, or 16%.

The probability that a randomly chosen part is defective, we need to use the law of total probability.

Let \($D$\) be the event that a part is defective and let \($M_i$\) be the event that the part came from machine \($i$\), for \($i = A, B, C$\).

Then we have:

\($P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$\)

60% of the products come from machine A, 30% from machine B, and 10% from machine C.

Therefore:

\($P(M_A) = 0.6$\)

\($P(M_B) = 0.3$\)

\($P(M_C) = 0.1$\)

The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.

Therefore:

\($P(D|M_A) = 0.1$\)

\($P(D|M_B) = 0.3$\)

\($P(D|M_C) = 0.4$\)

Substituting these values into the law of total probability, we get:

\($P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$\)

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c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

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Main answer:A set of values that shows the exact position of a point in a two-dimensional coordinate plane

supporting answer:  

what is coordinate system?

An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.

body  of the answer:

final answer: by following the above steps we can find the coordinates

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A set of values that shows the exact position of a point in a two-dimensional coordinate plane

What is a coordinate system?

An arrangement of reference lines or curves used to locate points in space. The Cartesian (after René Descartes) system is the most common two-dimensional system.

Navigate to the coordinate graph with the lines X'OX, Y'OY.

Determine which quadrant of the graph contains an ordered pair or a point.

Measure the distance between the point and the x-axis to get the abscissa.

Similarly, to obtain the ordinate value, measure the point's distance from the y-axis.

By following the above steps we can find the coordinates.

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Answer:

Step-by-step explanation:

\(\\Midpoint =\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(10,\:-14\right),\:\\\left(x_2,\:y_2\right)=\left(-16,\:-4\right)\\\\=\left(\frac{-16+10}{2},\:\frac{-4-14}{2}\right)\\\\=(\frac{-6}{2}, \frac{-18}{2}\\ \\Simplify\\\\=\left(-3,\:-9\right)\)

Total pay be the at the end of the two weeks with rate of  $13.25 per hour and commission of $150 for selling each new car is $1319.75.

As given,

Rate of salesperson per hour pay = $13.25

Commission on selling each new car =$150

Amount of the pay earned by salesperson:

First week :

25 (13.25) + 3 (150)

= 331.25 + 450

= $781.25

Second week:

18 (13.25) + 2(150)

= 238.5 +300

= $538.50

Total pay of salesperson at the end of two weeks

=$(781.25 +538.5)

=$1319.75

Therefore, total pay be the at the end of the two weeks with rate of  $13.25 per hour and commission of $150 for selling each new car is  $1319.75.

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The graph of the function g(x) = −|x + 3| − 2 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

g(x) = −|x + 3| − 2

The above expression is an absolute value function that hs the following properties

Next, we plot the graph

See attachment for the graph of the function

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