Rosa had $275. This table shows the items she purchased from the mall.
how much money did she had left over

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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The number of ways can the letters be rearranged is given by the formula :

where N is the number of ways

n is the number of letters

a, b and c are the number of duplicate letters

From the problem, KINDEST has 7 letters and it has NO duplicate letters so a, b and c are all equal to 1.

Using the formula above :

The answer is B. 7!

Answer: main

Step-by-step explanation:

Answer:

yeah it's main it cuts up through oak and elm

A polygon is called non-convex if there are "dents" or indentations in it, where the internal angle is greater than 180 degrees.

In other words, a non-convex polygon is a polygon whose line segments intersect, creating an interior angle greater than 180 degrees. This is in contrast to a convex polygon, where all of the interior angles are less than 180 degrees and none of the line segments intersect.

Non-convex polygons can have a variety of shapes and sizes, and can be composed of any number of sides. However, they are generally more difficult to work with mathematically than convex polygons, and often require more advanced techniques to analyze and understand their properties.

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Answer:

\(x\approx 24.0,\\y\approx 46.4\)

Step-by-step explanation:

Let the height of the largest triangle marked be \(h\). We can set up the following equation:

\(\sin 30^{\circ}=\frac{h}{34},\\h=34 \sin 30^{\circ}=17\) (if you're unfamiliar with trig, this is likely introduced to you as 30-60-90 triangle rules)

This height is also a leg of a 45-45-90 triangle, as marked in the diagram. From the isosceles-base-theorem, the other leg of this triangle must also be equal to \(h\). Therefore, we can use the Pythagorean theorem to solve for \(x\):

\(17^2+17^2=x^2\\x^2=\sqrt{17^2\cdot 2},\\x=17\sqrt{2}\approx \boxed{24.0}\) (you can also use trig or 45-45-90 triangle rules which are derived from the Pythagorean theorem)

Segment \(y\) consists of two shorter segments, a left segment and a right segment. We've already found that the left segment is equal to 17. To find the right segment we can use trig, the Pythagorean theorem, or 30-60-90 triangle rules (derived from the Pythagorean theorem):

Using Pythagorean Theorem:

\(y_{right}=\sqrt{34^2-17^2}\approx \boxed{29.4}\)

Therefore, we have:

\(y=17+29.4=\boxed{46.4}\)

Answer:

x = -9/2 - 1/2y

Step-by-step explanation:

2x + y = -9

2x = -9 - y

x = -9/2 - 1/2y

-3.5 number can be written as the ratio -7:2.

We have,

To write -3.5 as the ratio of two integers, we can multiply both the numerator and denominator by 10 to get rid of the decimal point.

This gives us:

-3.5 = -35/10

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5.

This gives us:

-3.5 = -7/2

Therefore,

-3.5 number can be written as the ratio -7:2.

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Answer:

3. (-1 , 3) , 4

4. (0 , -7), 8

Step-by-step explanation:

circle: (x-h)² + (y-k)² = r²

3. x²+2x+y²-6y-6 =0

  (x²+2x+1) + (y²-6y+9) -16 =0

  (x+1)² + (y-3)² = 4²

center(-1 , 3)      radius: 4

4. x²+y²+14y-15=0

   (x+0)² + (y²+14y+7²) - 64 = 0

   (x+0)² + (y+7)² = 8²

center: (0 , -7)     radius: 8

Answer:

3. Center = (-1,3)   Radius = 4

4. Center = (0,-7)   Radius = 8

use completion of squares to find the solution, if you do not understand what this means, there is a great video on utube by the channel Prep Expert that explains finding the center of a circle based on an equation.

Answer:

12 degrees also THATS CHICAGO FOR YA

Step-by-step explanation:

The trigonometric identity that is true is:

sin G = cos I. Option D

First, we need to know that;

One acute angle in a right triangle has a sine value equal to the cosine value of the other acute angle.

From the information given, we have;

In a right scalene triangle GHI, where both angle G and angle I are acute, the value of sin G is equivalent to cos I.

Several alternatives, including sin G = sin I, cos G = cos I, tan G = tan I, sin G = tan I, sin G being the inverse of cos I, and cos G being the inverse of cos I, are invalid for a right scalene triangle with a known right angle.

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Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

By using the approximation of 62,500 inches to the mile, you can simplify and expedite various calculations involving distances and conversions between inches and miles, providing a convenient tool for numerical analysis and problem-solving

The approximation of 62,500 inches to the mile is commonly used in various calculations, especially in scenarios where conversions between inches and miles are involved. This approximation simplifies the conversion process and allows for easier calculations.

For example, if you need to convert a distance from miles to inches, you can simply multiply the number of miles by 62,500 to obtain the equivalent distance in inches. Conversely, if you have a measurement in inches and want to convert it to miles, you divide the number of inches by 62,500 to get the distance in miles.

Additionally, this approximation can be useful in other applications, such as determining the number of inches in a given number of miles, or calculating the length of a specific distance in miles based on its measurement in inches.

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.

Answer:

m=\(\frac{1}{2}\)

Step-by-step explanation:

The slope of the line that passes through M(-6, 1) and N(2, 5) will be 1/2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are M(-6, 1) and N(2, 5). Then the slope of the line is given as,

m = (5 - 1) / (2 + 6)

m = 4 / 8

m = 1/2

The incline of the line that goes through M(- 6, 1) and N(2, 5) will be 1/2.

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Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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To find arbitrarily large powers of s without doing matrix multiplication, we can use the binary representation of the power and exponentiation by squaring.

Exponentiation by squaring is a method for computing large powers of a number efficiently. To compute s^n, we first convert n to its binary representation. For example, if we want to compute s^13, we first convert 13 to its binary representation of 1101, which is equivalent to 8 + 4 + 1.

We then compute s^8, s^4, and s^1, and multiply them all together. To compute s^8, we use the fact that s^8 = (s^4)^2. To compute s^4, we use the fact that s^4 = (s^2)^2. To compute s^2, we use the fact that s^2 = s*s.

We continue in this way until we have computed the powers of all the individual binary digits, and then multiply them all together to get s^13. This method is much more efficient than computing the powers directly by multiplying s by itself 13 times.

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To detect a 20% improvement in median survival from 5 to 6 months with 80% power and a significance level of 0.05, following patients for 1 year, the required sample size can be calculated using power analysis formulas.

To determine the number of patients needed for the survival study, we can use power analysis calculations based on the specified parameters. In this case, we want to detect a 20% improvement in the median survival time from 5 months to 6 months, with 80% power at a significance level of 0.05. The study will follow patients for 1 year (12 months) assuming an exponential distribution for survival.

To calculate the required sample size, we can use statistical software or power analysis formulas. One common approach is to use the formula:

n = (2 * (Zα + Zβ)^2 * σ^2) / (δ^2)

where n is the required sample size, Zα is the Z-value for the chosen significance level (0.05), Zβ is the Z-value for the desired power (80%), σ is the standard deviation of the survival times (assumed to be equal for both treatment groups), and δ is the desired difference in survival times.

In conclusion, to detect a 20% improvement in median survival from 5 to 6 months with 80% power and a significance level of 0.05, following patients for 1 year, the required sample size can be calculated using power analysis formulas. By plugging in the appropriate values for Zα, Zβ, σ, and δ into the formula, the specific number of patients needed for the study can be determined.

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Answer:

An Overview of the Cell Cycle. The most basic function of the cell cycle is to duplicate accurately the vast amount of DNA in the chromosomes and then segregate the copies precisely into two genetically identical daughter cells. These processes define the two major phases of the cell cycle.

The position of sea horse after lower & higher elevations with help of representing it as integers is:

a)The total elevation of the sea horse = 24 feet lower

b)The position of the sea horse = on the sea level.(elevation = 0)

In second part of the story, the answer to the elevation woas zero.

What are integers?

The negative numbers as well as all whole numbers are considered integers.  Integers are created when we combine negative and full numbers. Integers are represented on a number line with negatives to the left of zero and positives to the right. The entire number, zero, is neither positive nor negative. Every negative number is less than zero, as are all positive numbers.Greater than the farthest-from-zero negative integer is the negative number that is less than zero.

Given that the elevation of sea horse is -12 feet.

a)Initial position of seahorse= 12 feet below sea level

                                           = - 12 feet.

Drift in position due to strong current=12 feet lower in elevation

                                                              = -12 feet

Total elevation below sea level = -12 + (-12)

                                                    = -12-12

                                                    = -24 feet below sea level.

The elevation of the sea horse = 24 feet lower

b)Initial position of seahorse= 12 feet below sea level

                                           = - 12 feet.

Drift in position due to strong current=12 feet higher in elevation

                                                              = +12 feet

Total elevation below sea level = -12 + (+12)

                                                    = -12 + 12

                                                    = 0 feet below sea level.

The position of the sea horse = on the sea level.

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Answer:

x=6

Step-by-step explanation:

You can take 40-28= 12

So that means 12+28=40

Now since it's taking 2 times x, and we're trying to figure out x, you take 12 divided by 2, and that'll equal 6.

6x2=12

12+28=40

Eddie's account can be modelled as a linear function.

Ely's account can be modelled as an exponential function.

Ely's account  would be higher than Eddie's account by $207.98.

A linear function is a function that has one variable that is raised to the power of 1. An example is 5x + 2.

Eddie's account can be modelled as a linear function because it increases by $240 every year. The linear function is $3000 + $240x. Where x is the number of years.

An exponential function is a function that is in the form y = \(a^{x}\).

Ely's account can be modelled as an exponential function because it increases by \(1.08^{x}\). The exponential function is $3000 x  \(1.08^{x}\). Where x is the number of years.

Value of Eddie's account in 5 years = $3000 + $240(5) = $4,200

Value of Ely's account in 5 years = $3000 x  \(1.08^{5}\) = $4,407.98.

Difference = $4,407.98 - $4,200 = $207.98

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The table is an illustration of a linear and an exponential function.

From the table, we can see that Eddie's balance increase by 240 each month.

This represents a linear function.

Also, we can see that Ely's balance increases at a rate of 8% each month.

This represents an exponential function.

So, we have:

\(y = 3000 + 240x\) -- Eddie's account

\(y = 3000(1.08)^x\) --- Ely's account

In (a), we have:

\(y = 3000 + 240x\) -- Eddie's account

\(y = 3000(1.08)^x\) --- Ely's account

So, their balance in 5 years is:

\(y =3000 + 240*5\)

\(y =4200\)

\(y = 3000(1.08)^5\)

\(y = 4408\)

Calculate the difference (d)

\(d = 4408 - 4200\)

\(d = 208\)

Hence, Ely's balance would be $208 greater than Eddie's

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The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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Answer:

AAS postulate can be used to prove that these two triangles are congruent

Step-by-step explanation:

Let us revise the cases of congruence  

In the given figure

∵ There is a pair of vertically opposite angles

∵ The vertically opposite angles are congruent ⇒ (1)

∵ There are two angles have the same mark

∴ These marked angles are congruent ⇒ (2)

∵ There are two sides have the same mark

∴ These two marked sides are congruent ⇒ (3)

→ From (1), (2), and (3)

∴ The two triangles have 2 angles and 1 side congruent

→ By using case 4 above

∴ The two triangles are congruent by the AAS postulate of congruency.

AAS postulate can be used to prove that these two triangles are congruent

The values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.

The concept of the integral is a fundamental part of calculus and it is used to calculate the area under a curve or the volume of a 3-dimensional object. In this context, we will be exploring the integral of a two-dimensional set in the R^2 plane.

For every two-dimensional set C contained in R^2 for which the integral exists, the function Q(C) is defined as the double integral of the function (x^2 + y^2) over the set C. The double integral is a mathematical tool for finding the total volume under a surface.

Let's consider the three sets C1, C2, and C3 and find Q(C1), Q(C2), and Q(C3).

C1={(x,y) : −1 ≤ x ≤ 1, −1 ≤ y ≤ 1}

Q(C1) = ∬C1 (x^2 + y^2) dxdy = ∫^1_{-1}∫^1_{-1} (x^2 + y^2) dxdy = ∫^1_{-1} [(x^2 + y^2)/2]^1_{-1} dx = 4.

C2 ={(x,y):−1≤x≤1,−1≤y≤1}

Q(C2) = Q(C1) = 4.

C3 = {(x,y):x^2 + y^2 ≤1}

Q(C3) = ∬C3 (x^2 + y^2) dxdy = π.

In conclusion, the values of Q(C1), Q(C2), and Q(C3) are 4, 4, and π, respectively.

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Answer:

192.5 kg

Step-by-step explanation:

220-12.5%=220*(100-12.5)/100=220*0.875= 192.5 kg

\(\\ \sf\longmapsto y\propto \dfrac{1}{(x+1)^2}\)

\(\\ \sf\longmapsto y=\dfrac{k}{(x+1)^2}\)

\(\\ \sf\longmapsto y=\dfrac{k}{x^2+2x+1}\)

#2

Put x=4

\(\\ \sf\longmapsto 2=\dfrac{k}{x^2+2x+1}\)

\(\\ \sf\longmapsto 2x^2+4x+2=k\)

\(\\ \sf\longmapsto 2(x^2+2x+1)=k\)

\(\\ \sf\longmapsto x^2+2x+1=k\)

\(\\ \sf\longmapsto 16+8+1=k\)

\(\\ \sf\longmapsto k=25\)

\(\\ \sf\longmapsto y=\dfrac{25}{x^2+2x+1}\)

#3

y=4

\(\\ \sf\longmapsto x^2+2x+1=\dfrac{25}{4}\)

\(\\ \sf\longmapsto x^2+2x+1=25/4-1=21/4\)

\(\\ \sf\longmapsto x(x+2)=21/4\)

\(\\ \sf\longmapsto x=21/4\:or 13/4\)

Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Answer:

Hey, answer is attached.

Step-by-step explanation:

Hope this helps.

Answer:

Step-by-step explanation:

-150

Answer: -15x + 30

Step-by-step explanation:

-3(5x) = -15x (positive x negative = negative)

-3(-10) = 30 (negative x (negative = positive)

(same symbols = positive)

(Different symbols = negative)

Answer:

55.2 and 24.8

Step-by-step explanation:

complementary angles add to 90

x + (x-20.4) = 90

2x - 20.4 = 90

2x = 110.4

x= 55.2

55.2 - 20.4 = 24.8

The percentage of the total distance is 73%.

In mathematics, the percentage of a number is a ratio expressed as a fraction of 100. The that we use to represent the percentage is the sign “%”. The calculate the percentage of a number we use the following formula.

Percentage% = [ value of number ]/ [Total value ] × 100

Here we have

Olivia fell asleep after they had traveled 243 miles.

The total length of the trip was 900 miles.

The distance that traveled when Olivia fell asleep

= 900 miles - 243 miles

= 657 miles

The percentage of the total trip they traveled when Olivia fell asleep  

= (657/900) × 100 = 73%  

Therefore,

The percentage of the total distance is 73%.

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