A store manager decided to decrease the price of ice cream by 10% for the month of July. The amount of ice
cream sold in July increased by 24% compared to June. Did the store's revenue (money that the store obtained
from ice cream sales) increase or decrease in July? By what percent?

Answer:

0.01

Step-by-step explanation:

Nearest hundredth is the second digit after the decimal point.

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit.

The length of a curve C is given by the integral,

\(\displaystyle\int_C\mathrm ds\)

where the line element ds is

\(\mathrm ds=\sqrt{\left(\dfrac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt\)

where \(x=x(t)\) and \(y=y(t)\) are parameterizations of C.

In this case, we have

\(x(\theta)=r(\theta)\cos\theta\)

\(y(\theta)=r(\theta)\sin\theta\)

Differentiate with respect to \(\theta\) to get

\(\dfrac{\mathrm dx}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\cos\theta-r(\theta)\sin\theta\)

\(\dfrac{\mathrm dy}{\mathrm d\theta}=\dfrac{\mathrm dr}{\mathrm d\theta}\sin\theta+r(\theta)\cos\theta\)

\(\dfrac{\mathrm dr}{\mathrm d\theta}=\sin\left(\dfrac\theta2\right)\cos\left(\dfrac\theta2\right)=\dfrac12\sin\theta\)

So the arc length is

\(\displaystyle\int_C\mathrm ds=\int_0^a\sqrt{\left(\dfrac12\sin\theta\cos\theta-\sin^2\left(\dfrac\theta2\right)\sin\theta\right)^2+\left(\dfrac12\sin\theta\sin\theta+\sin^2\left(\dfrac\theta2\right)\cos\theta\right)^2}\,\mathrm d\theta\)

\(=\displaystyle\int_0^a\sqrt{\sin^2\left(\dfrac\theta2\right)}\,\mathrm d\theta\)

\(=\displaystyle\int_0^a\sqrt{\frac{1-\cos\theta}2}\,\mathrm d\theta\)

Answer:

Identity Property

Step-by-step explanation:

hrhegeifbeegsiwbehfisbegr

Answer:

The used car due to it being 100 dollars off

Step-by-step explanation:

Discount = Original Price x Discount %/100  USED CAR

10% = 17000 × 10/100

10% = 17000 x 0.1

You save = $1,700.00

Final Price = Original Price - Discount NEW CAR

Final Price = 17000 - 1700

Final Price = $15,300.00

23% = 20000 × 23/100

23% = 20000 x 0.23

You save = $4,600.00

Final Price = Original Price - Discount  NEW CAR

Final Price = 20000 - 4600

Final Price = $15,400.00

Final Price = Original Price - Discount USED CAR

Final Price = 17000 - 1700

Final Price = $15,300.00

Answer:

I would save, $4600 on car 1, because 0.23*20000 is 4600, this means I would pay, $15400 for car 1. I would save, $1700 on car 2 since 0.1*17000 is 1700, that means that I would pay $15300 on 2nd car. I would buy car 2 because it costs less than car 1, since, as you could see from the evidence above the used car costs $100 less than the new car.

Step-by-step explanation:

my explanation is in the answer, due to the question requesting the answer to be in complete sentences

Answer: So, the simple probability of reaching in and extracting a yellow marble from the bag is 0.1 or 10%.

Step-by-step explanation: To calculate the simple probability of reaching in and extracting a yellow marble from the bag, we need to divide the number of yellow marbles by the total number of marbles in the bag.

The bag contains a total of 10 marbles, and there is only 1 yellow marble. Therefore, the probability of extracting a yellow marble can be calculated as:

Probability = Number of Yellow Marbles / Total Number of Marbles

Probability = 1 / 10

Simplifying this fraction gives us:

Probability = 0.1 or 10%

Hope this helps!

The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

for such more questions on parabola

https://brainly.com/question/29635857

#SPJ8

Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

One quarter after 0:00h is 0:15h (12:15 AM) in the 12-hour format and 00:15h in the 24-hour format.

Two quarters to 14:00h is 13:30h (1:30 PM) in both the 12-hour and 24-hour formats.

Half past 13:00h is 13:30h (1:30 PM) in both the 12-hour and 24-hour formats.

Five minutes to 23:00h is 22:55h (10:55 PM) in both the 12-hour and 24-hour formats.

Let's identify the time being asked in both the 12-hour and 24-hour formats for each scenario:

One quarter after 0:00h:

In the 12-hour format, 0:00h is midnight or 12:00 AM.

One quarter after 0:00h would be 0:15h (or 12:15 AM).

In the 24-hour format, 0:00h remains the same as 00:00h.

One quarter after 0:00h would be 00:15h.

Two quarters to 14:00h:

In the 12-hour format, 14:00h is 2:00 PM.

Two quarters to 14:00h would be 13:30h (or 1:30 PM).

In the 24-hour format, 14:00h remains the same as 14:00h.

Two quarters to 14:00h would be 13:30h.

Half past 13:00h:

In the 12-hour format, 13:00h is 1:00 PM.

Half past 13:00h would be 13:30h (or 1:30 PM).

In the 24-hour format, 13:00h remains the same as 13:00h.

Half past 13:00h would be 13:30h.

Five minutes to 23:00h:

In the 12-hour format, 23:00h is 11:00 PM.

Five minutes to 23:00h would be 22:55h (or 10:55 PM).

In the 24-hour format, 23:00h remains the same as 23:00h. Five minutes to 23:00h would be 22:55h.

For similar question on quarter.

https://brainly.com/question/30170133

#SPJ11

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

72.3

Step-by-step explanation:

Given that:

The arithmetic sequence:

\(\sum \limits ^{14}_{k=0} (3 + 0.26k)\)

The first term of the sequence \(a_0\) = 3 since k = 0

i.e (3 + 0.26(0)) = 3

The last term of the sequence \(a_{14}\) = 6.64

i.e (3+ 0.26(14)

= (3 + 3.64)

= 6.64

Total no of terms = 15 i.e from 0 to 14

∴

The partial sum of the arithmetic sequence = \(\dfrac{Total \ no \ of \ terms }{2} \times (a_o+a_{15})}\)

\(=\dfrac{15 }{2} \times (3+6.64)}\)

= 72.3

The Amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.

If you owned a house and the assessed value was $435,000.00, the amount of property taxes you would have to pay per year

if the rate was 0.79% can be calculated as follows:SolutionTo calculate the amount of property taxes, multiply the assessed value by the tax rate.

We can represent this mathematically as:P = R × Vwhere:P = Property taxesR = Tax rateV = Assessed Value

We are given that:R = 0.79%V = $435,000.00

We need to convert the tax rate to a decimal value before we can use it in our calculation. This can be done by dividing the percentage value by 100. Therefore:R = 0.79 ÷ 100= 0.0079

Using the formula above, we can now calculate the property taxes as:P = R × V= 0.0079 × $435,000.00= $3,436.50

Therefore, the amount of property taxes you would have to pay per year if the rate was 0.79% is $3,436.50.

For more questions on Amount.

https://brainly.com/question/29252044

#SPJ8

Answer:

a + c = 125 & 12a + 6c = 1140

Step-by-step explanation:

adult ticket total + child ticket total = 125 total tickets

($12 x adult ticket total) + ($6 x child ticket total) = $1140

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5\\ h=3 \end{cases}\implies V=\pi (5)^2(3)\implies V\approx 236~ft^3\)

Answer:

236 ft^3

Step-by-step explanation:

Base radius = 5 ft

Height = 3 ft

Volume =   πr^2h

              =  π × 5^2 × 3

              =  75π

               =  235.61944901923 feet^3

Nearest Cubic Foot = 236 ft^3

Nearest Cubic Foot:

Hence Answer is:

236 ft^3

Hope this helps!

The perimeter of the figure using the given side lengths is 12x - 10

The perimeter of a shape is the sum of the side lengths of the shape.

For all regular quadrilaterals, you add up the side lengths to determine the area

From the given figure, we have the side lengths to be:

x, 2x + 5, 6x - 17 and 3x + 2

Add these side lengths

So, we have

Perimeter = x + 2x + 5 + 6x - 17 + 3x + 2

Evaluate the like terms

Perimeter = 12x - 10

Hence, the perimeter of the figure using the given side lengths is 12x - 10

Read more about perimeter at

https://brainly.com/question/24571594

#SPJ1

62.38% is the necessary discount. Basic discount calculations include multiplying the original price by the given percentage rate in decimal notation.

Suppose MP is 100. later Net SP

\($=(100-10) \%$\) of \($(100-24) \%$\) of \($(100-45) \%$\) of \(100 $=90 \%$\) of \($76\%$\) of \($55\%$\) of 100

\($$=\left(\frac{90}{100} \times \frac{76}{100} \times \frac{55}{100} \times 100\right)=37.62$$\)

Required discount \(=(100-68.40) \%=31.6 \%$\)\(=(100-37.62) \%=62.38 \%$\)

The simplest method for figuring out a discount is to multiply the original cost by the percentage rate in decimal notation. Any item's selling price is determined by deducting the discount from the purchase price.

An enormous, red percentage symbol with a black outline. If you multiply two percentages that are fractions of 100 or decimals, you can find the percentage of another percentage. Calculating, for instance, 50% of 40% results in (50/100) x (40/100) = 0.50 x 0.40 = 0.20 = 20/100 = 20%.

Therefore the correct answer is option D ) 62.38%

To learn more about discount refer to :

https://brainly.com/question/7459025

#SPJ1

The required equation shown in the puzzles are,
1. y ≥ -x +4
2. y > -2x + 5
3. y < -3x + 5
4. y ≤ x + 4

A puzzle of lines is shown, we need to find out the equation of the line shown in each graph in the puzzle,
Since in order to evaluate the equation, we must find out the slope, y-intercept, and which are shaded such as upper and lower.

The slope of the line in 1 is m = -1 and the y-intercept is 4 and upper area is shaded and the line is sharp so the equation is given as:
1. y ≥ -x +4

Similarly, all the other equations can be formed as:
2. y > -2x + 5
3. y < -3x + 5
4. y ≤ x + 4

Learn more about the equation of lines here:

https://brainly.com/question/12919067

#SPJ1

Answer: 1.2 x 10^-5

Step-by-step explanation:   Move the decimal 5 times to right in the number so that the resulting number, m = 1.2, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -5

Write in the scientific notation form, m × 10n

= 1.2 × 10-5

Answer:

\(1.2 \mathrm{\;x\;} 10^{-5}\)

Step-by-step explanation:

Given the interval

Explanation

Part A

The left-hand parenthesis indicates that -4 is inclusive in the interval, while the right-hand parenthesis indicates that three is excluded from the interval.

Answer

Part B

The number line can be seen below.

Answer

Answer:

a lot of hours

Step-by-step explanation:

use your brain

use your brain

get it yourself

Answer:

\( = 750 \div 4500 = 6 \\ = 6hours\)

first divide 4500by750 you"ll get your anser

Answer:

no

Step-by-step explanation:

No, it is not a random sample of the students in school.

Answer:

No

Step-by-step explanation:

A random sample is a sample that is taken from a larger set. Molly specifically chose to interview the youngest students, so the sample is not random.

Answer:

270°

Step-by-step explanation:

Given :-

To Find :-

Solving :-

The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

More can be learned about definite integrals at https://brainly.com/question/22008756

#SPJ1

Answer:

27

Step-by-step explanation:

The expected count in a χ² test can be obtained thus :

Expected count for each each point in a two way table ::

(row total * column total) / total

Therefore, expected count for cell corresponding to people from United Kingdom whose favorite sport is tennis :

Row total = (51+14+86+29) = 180

Column total = (25 + 29) = 54

Total = 360

Hence,

Expected count = (180 * 54) / 360

Expected count = 27

Answer:

1/3

Step-by-step explanation:

This problem would be 1/2 x 2/3. The answer would be 1x2 over 2x3.

Answer:

C. Area is the total distance around the outside of a shape.

Step-by-step explanation:

Answer:

Area is the total distance around the outside of a shape, Would be correct.

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

Answer:

We start with 17 marbles, 4 of which are red. So P(first marble is red) = 4/17. Since the red marble is not replaced, there are now 16 marbles, 3 of which are red. So P(second marble is red) = 3/16.

The correct calculation is

P(red, then red) = 4/17 × 3/16

Answer:

1.57ft

Step-by-step explanation:

The circumference is twice the radius times pi.

C=2πr

C=2·π·5

C=10π

C=31.4159265359

We know that KL is 18° of that (180-162).

So we get the formula

31.4159265359÷360x18=1.57