The next model of a sports car will cost 14.7% more than the current model. The current model costs $34,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
Price of next model:

Answer:

hello your question is incomplete below is the complete question

verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??

answer :  attached below

Step-by-step explanation:

Attached below is the required verification of the conclusion of Green's Theorem

In the attached solution I have  proven that Green's theorem ( ∫∫c F.Dr ) .

i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2

To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.

To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.

In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.

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Answer:

A) C = 1/96

B) P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C) P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

Step-by-step explanation:

f(x,y) = C x (1+y)

A)

To find C, we need to integrate the volume under region bound by

0 <= x <= 4, and

0 <= y <= 4

This volume equals 1.0.

Find integral,

int( int(f(x,y),x=0,4), y = 0,4) = 96C

therefore C = 1/96

or

F(x,y) = x (1+y) / 96  ............................(1)

B)

P(x<=1, y<=1)

Repeat the integral, substitute the appropriate limits,

P = int( int(F(x,y),x=0,1), y = 0,1)

= 1/128 or 0.0078125

P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C)

P(x+y<=1)

From the function, we know that this is going to be less than one half of the probability in (B), closer to 1/4 of the previous.

It will be again a double integral, as follows:

P = int( int(F(x,y),x=0,1-y), y = 0,1)

= 5/2304

= 0.0021701 (to 7 decimals)

P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

Julio will be 30 years old when his father is twice his age.

To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.

Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.

For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.

Setting up an equation to solve for x:

x + 30 = 2x

Simplifying the equation, we subtract x from both sides:

30 = x

Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.

Therefore, Julio will be 30 years old when his father is twice his age.

Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?

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Answer:

10x + 18

Step-by-step explanation:

First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.

So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.

Therefore, this expression is equivalent to 10x + 18.

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

The mean of the data set is 3.33.

The variance of the data set is 0.47.

We have,

To find the mean of the data set,

We need to add up all the numbers and divide by the total number of values:

Mean = (2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 4) / 9

= 3.33 (rounded to two decimal places)

To find the variance,

We need to first find the squared difference between each value and the mean:

(2 - 3.33)^2 = 1.11

(2 - 3.33)^2 = 1.11

(3 - 3.33)^2 = 0.11

(3 - 3.33)^2 = 0.11

(3 - 3.33)^2 = 0.11

(4 - 3.33)^2 = 0.44

(4 - 3.33)^2 = 0.44

(4 - 3.33)^2 = 0.44

(4 - 3.33)^2 = 0.44

Next, we need to find the average of these squared differences:

Average of squared differences

= (1.11 + 1.11 + 0.11 + 0.11 + 0.11 + 0.44 + 0.44 + 0.44 + 0.44) / 9

= 0.47 (rounded to two decimal places)

Thus,

The mean of the data set is 3.33.

The variance of the data set is 0.47.

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(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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From the graph shown, it can be observed that the values of the minimum heights, to the quartile, to the median, to the interquartile, and the maximum heights are as stated below:

From the observed heights, it can be clearly seen that Football, Hockey and Baseball have the same median of 73 heights

From the values of the range, it can be observed that the range of Hockey and Baseball is almost the same, 6 and 7

Hence, the two sports that most alike are Hockey and Baseball

Answer:

# 4 (-5,2) should be placed one more place to the right

#5 (5,1) should be moved once up

Step-by-step explanation:

:)

Answer:

1/8

Step-by-step explanation:

Convert to fraction

6:48 is 6/48 as a fraction. Now simplify.

1. Find the GCD (or HCF) of numerator and denominator

GCD of 6 and 48 is 6

Divide both the numerator and denominator by the GCD

6 ÷ 6/

48 ÷ 6

Reduced fraction:

1/8

Therefore, 6/48 simplified to lowest terms is 1/8.

Answer:

See below

Step-by-step explanation:

5 + 8 = 13  divisions      5/13  is one part the other is 8/13

5/13 * 520=200  

            the other  is    520-200= 320

Answer:

30pi

Step-by-step explanation:

circumference=diameter x pi

c=30pi

so it rolls:

=30π (pi) inches

or

≈94.25 inches

Therefore the tire covers a distance of 94.2 inch in one turn.

A circle is the locus of a point such that its distance from a fixed point is constant.

The tire is circular. To determine the distance covered by the tire in 1 turn, we have to calculate the perimeter of the tire.

Perimeter of tire = π * diameter = π * 30 inch = 94.2 inch

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Answer:

\(Interval: [-10.10]\)

Step-by-step explanation:

Given

Set: -10 to 10

Required

Write as interval notation

We start by writing the given parameter as an inequality

\(Inequality: -10 \leq x \leq 10\)

The direct representation of \(\leq\) and \(\geq\) in interval representation of sets is \([\) and \(]\), which shows that the beginning and end of the interval are inclusive;

So, the above inequality in interval notation is:

\(Interval: [-10.10]\)

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Taxable income = $81,120,Total tax owed = $4,732.50 + $414.40 = $5,146.90 per year,Annual net pay = $81,120 - $5,146.90 = $75,973.10,Fortnightly net pay = $75,973.10 / 26 = $2,922.81

An amount of money that a government asks people to pay based on their income, property value, etc., and  is used to pay for things that the government does.

The accountant's gross income for two weeks is $3,120, so his gross income for the year is:

3120 x 26 = $81,120

Since they are not allowed to deduct tax, their taxable income equals their gross income:

Taxable income = $81,120

ii. Using the presented tax table, we can determine the accountant's tax liability:

Taxable income = $81,120

Income tax over $80,000 = (81,120 - $80,000) x 0.37 = $414.40

Income tax over $37,000 = ($37,000 - $18,200) x 0.325 = $4,732.50

Total tax liability = $4,732.50 + 414.40 = $5,146.90 per year

iii. An accountant's annual net salary is his gross income minus  tax liability:

Annual net salary = $81,120 - $5,146.90 = $75,973.10

iv. The accountant's semi-monthly net salary is the annual net salary divided by 26:

Net salary for two weeks = $75,973.10 / 26 = $2,922.81

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Answer:

$13,080.50 + $13,080.50 x 0.06 x 30/360 = $13,393.03

Step-by-step explanation:

Adjusted balance after the first payment: $39,600 + $39,600 x 0.06 x 75/360 - $11,880 = $28,770

Adjusted balance after the second payment: $28,770 + $28,770 x 0.06 x 5/360 - $15,840 = $13,080.50 tell me if it's not clear

Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Considering the given stem-and-leaf plot, we have that:

5. The batting average represented by the notation 0.31|2 is of 0.312.

6. The recorded batting averages between 0.28 and 0.29 were of: 0.283, 0.283 and 0.285.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example, in this problem:

0.26|1 = 0.261.

Hence the batting average represented by the notation 0.31|2 is of 0.312.

Between 0.28 and 0.29, we have these following batting averages.

The recorded batting averages between 0.28 and 0.29 were of: 0.283, 0.283 and 0.285.

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Answer:

\(pg\int\limits^7_7(10-y)2\sqrt{7^2-y^2} \, dy\)

*The last bound is negative 7

Then it equals 15085928 or 1.5E7

Step-by-step explanation:

\(x^2+y^2=7^2\)

area = 2xdy

depth = (7+3)-y -> (10-y)

total force = \(pg\int\limits^7_7 {(10-y)2x} \, dy\)

Substitute 2x from the first equation as x=\(\sqrt{7^2-y^2}\)

total force = \(pg\int\limits^7_7 {(10-y)2\sqrt{49-y^2} } \, dy\)

=pg1539.38

=(1,000)(9.8)(1539.38)=1.5E7 N

*Lower bound is -7, can't get the program to allow me to put it as a negative

The hydrostatic force against one side of the plate is an integral 1.5E7 N.

The general equation of a circle is \((x-h)^{2} +(y-k)^{2} = r^{2}\). The coordinate is (0, 0) at the origin, so the equation will become \((x)^{2} +(y)^{2} = r^{2}\).

\((x)^{2} +(y)^{2} = 7^{2}\)

area of circular plate = 2xdy

depth = (7+3)-y =  (10-y)

The total force = \(pg\int\limits^7_7[ {10-y} ]2xdy\)

Substitute 2x from the first equation as x = \(\sqrt{7^{2} -y^{2} }\)\(pg\int\limits^7_7[ {10-y} ]\sqrt{49 -y^{2} }dy\)            

= pg 1539.38

= (1,000)(9.8)(1539.38)

= 1.5E7 N

Thus, The hydrostatic force against one side of the plate is an integral 1.5E7 N.

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Answer:

The answer is C.

Step-by-step explanation:

Given, two points are (-8, 4) and (8, -4).

We have to find the change in the value of y.

We know that

Change in the value of y = 4 - (-4) = 8 units

Therefore, the change in the value of y is 8 units.

I didn't feel like writing an explanation myself so I found this one on Cuemath

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Answer:

Option B, 22

Step-by-step explanation:

Alternate interior angles are same

Answer:

22°

Step-by-step explanation:

Alternate interior angles are equal to each other

1) The value of x in the triangle is; x = 25

2) The measure of each interior angle is;

25°, 40° and 115°

Exterior angle = 65°

In a triangle, from the exterior angle property, we know that the exterior angle is always equal to the sum of the interior opposite angles. Thus, we say that any two triangles will be similar provided that their corresponding angles tend to be congruent and the length of their sides will be proportional.

Thus;

x + 15 + 25 = 3x - 10

3x - x = 25 + 15 + 10

2x = 50

x = 50/2

x = 25

The measure of each interior angle is;

25°

25 + 15 = 40°

180 - (25 + 40) = 115°

Exterior angle = 180 - 115 = 65°

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Answer:

c. 85 % is the probability

Answer:

Z

Step-by-step explanation:

Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

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