If you invest $10,000 for a year in a saving account that yields 4% interest your profit is

Answer:

Step-by-step explanation:

First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is

pi + pe + k = 13.5

Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so

pe = pi + 9

And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was

kiwis = (pi + 9) - 2 which simplifies down to pi + 7.

Now we'll put all of those into the equation:

pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:

1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:

1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:

2.3pi = 6.9 so

pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:

pe = pi + 9 so

pears = 12. Now we go back to the expression for kiwis:

k = pi + 7 so

kiwis = 10. And there you go!

Answer: 3.84 , 3 41/50 , 3.789 , 3

Where's the complete question? Can you insert the complete question please so that I can answer it.

Answer:

1550mL

Step-by-step explanation:

Change Litre to milliliters :

2L = 2×1000 ml

= 2000 ml

2000ml- 450ml

= 1550 ml

Answer:A unique line is defined by any two distinct (not identical) points. You have two distinct, which means you have a line. To find the equation for the line, we start with the slope-intercept equation for a line. This is only a template for a generic line, so we will have to find the specific values of m (slope) and b (y-intercept) that define your line.

The template: y = mx + b

b is the y-intercept, which, if you look at (0,–2), you will see is –2; it is where the line crosses the y-axis. Fill that value of b into our template to get:

y = mx – 2

Now, we only need the value of m, which is the slope. If you have two points on a line, you can calculate the slope of that line. The slope is the change (difference) of y over the change in x (difference) of x for two given points on the line. It's a fraction or ratio though sometimes it can be reduced to an integer.

So, taking your two points, you calculate the slope, m, in the following way:

(x1,y1) = (0,–2)

(x2,y2) = (5,1)

        y2 – y1                   1 – (–2)                1 + 2               3

m = ________   =     ________    =     ________  =    ____

       x2 – x1                      5 — 0            

Step-by-step explanation:

Answer:

The answer is "Cannot determine from the information given".

Step-by-step explanation:

Please find the image file in the attachment.

Its positive correlation is nothing but the dependent share changes whenever we increase its different variables, and then we can say the situation is non-linear, though decrease or increase can occur. Likewise, the dependent variable as well decreases because once we decrease the independent variable.

The representation in a graph of number line of the numbers (-3, 1, 0)

is attached below,

The set of real numbers is represented graphically by a number line, which is typically drawn as a horizontal line with points designated to stand in for particular numbers. With negative numbers to the left of zero and positive numbers to the right of zero, the numbers are arranged in increasing order from left to right. The size of the difference between each pair of numbers on a number line is indicated by the distance between them. Numerous mathematical ideas, such as addition, subtraction, multiplication, division, fractions, decimals, and more, can be represented using the number line. It is a helpful tool for figuring out how numbers relate to one another and for resolving mathematical issues.

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Answer: 60

(Sorry for not showing my work)

The value of 113+256 is determined by the above fractional formulae. Is 369

An exact number that shows a percentage of a total is called a fraction. You may figure it out by dividing a sum by the quantity of parts. As an example, the number 12 represents one-half of a whole number or an object. Simple subtraction of the smaller numerator from the larger numerator will yield the solution to the problem. To solve, for instance, 6/8 - 2/8, just take 2 out of the answer. The answer, which can be abbreviated to "4/8," is 12, or 12.

Making a fraction simpler by reducing or simplifying it is our goal. In order to do this, we divide the denominator and numerator by the largest integer that can be divided into both integers precisely. That is to say,

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Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

Answer:

angels on a triangle = 180°

so you add 75 and 50 which gives you 125 then u take away that by 180 to find x (Just the process)

and that's your answer

Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

1/12

Step-by-step explanation:

Total Number of pieces of paper = 24

Total Number of pieces of paper with an odd number on it= 24/2 = 12

Total Number of pieces of paper with Number 19 = 1

Probability of a student on blue team having the Number 19 would be = Number of paper pieces with Number 19/Total number of pieces of paper with an odd number = 1/12

We take only the pieces of paper with an odd number on it as we already know the student is in the blue team so they had to have an odd number.

Answer:

41.93 degrees

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

10x = 65

x = 65/10

x = 6.5

Answer:

x=6.5

Step-by-step explanation:

So our equation is:

10x-10=55

The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:

10x=65

Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:

x=65/10

=

x=6.5

So your answer is 6.5

Hope this helps!

Answer:

Step-by-step explanation:

draw any angle which has like a edge inside it. like anything.

Answer:

A

Step-by-step explanation:

I got it right

People want things that have value. Take away the value, and people will not want them. Therefore, the correct option is option A.

A passage is indeed a continuous section of text inside a written work. It may only contain a few phrases, or it might consist of numerous paragraphs. Typically, a passage serves a specific function, like as establishing the scene and introducing the characters, giving background knowledge, progressing the plot, and delivering conversation.

Expository texts are written to explain concepts or impart knowledge. These can frequently be found in nonfiction books on history, biographies, or textbooks. They may additionally be found in works of fiction, though.  the main idea of the passage is people want things that have value. Take away the value, and people will not want them.

Therefore, the correct option is option A.

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Answer:

\(3\sqrt{6}+3\sqrt{2}i\) and \(-3\sqrt{6}-3\sqrt{2}i\)

Step-by-step explanation:

For a complex number \(z=a+bi\) in rectangular form, polar form is \(z=r[cos(\theta)+isin(\theta)]\) where \(r=\sqrt{a^2+b^2}\) and \(\theta=tan^{-1}(\frac{b}{a})\):

\(r=\sqrt{a^2+b^2}\\\\r=\sqrt{(36)^2+(36\sqrt{3})^2}\\\\r=\sqrt{1296+3888}\\\\r=\sqrt{5184}\\\\r=72\)

\(\theta=tan^{-1}(\frac{b}{a})\\ \\\theta=tan^{-1}(\frac{36\sqrt{3}}{36})\\ \\\theta=tan^{-1}(\sqrt{3})\\\\\theta=\frac{\pi}{3}\)

Thus, our complex number in polar form is \(z=72[cos(\frac{\pi}{3})+isin(\frac{\pi}{3})]\). This will help us determine the square roots of the complex number using the formula \(\sqrt[n]{r}\biggr[cis\bigr({\frac{\theta+2\pi k}{n})\biggr]\) for \(k=0,1,2,\: ... \:,n-1\). Note that \(cis(\theta)=cos(\theta)+isin(\theta)\):

1st square root for k = 2-1 = 1

\(\sqrt[n]{r}\biggr[cis\bigr({\frac{\theta+2\pi k}{n})\biggr]\)

\(\sqrt[2]{72}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi(1)}{2})\biggr]\)

\(6\sqrt{2}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi}{2})\biggr]\)

\(6\sqrt{2}\biggr[cis\bigr(\frac{\pi}{6}+\pi)\biggr]\)

\(6\sqrt{2}\biggr[cis\bigr(\frac{7\pi}{6})\biggr]\)

\(6\sqrt{2}\biggr[cos(\frac{7\pi}{6})+isin(\frac{7\pi}{6})\biggr]\\ \\6\sqrt{2}(-\frac{\sqrt{3}}{2}-\frac{1}{2}i)\\\\-3\sqrt{6}-3\sqrt{2}i\)

2nd square root for k = 1-1 = 0

\(\sqrt[6]{72}\biggr[cis\bigr({\frac{\frac{\pi}{3}+2\pi(0)}{2}\bigr)\biggr]\)

\(6\sqrt{2}\biggr[cis(\frac{\pi}{6} )\biggr]\)

\(6\sqrt{2}[cos(\frac{\pi}{6})+isin(\frac{\pi}{6})]\\ \\6\sqrt{2}(\frac{\sqrt{3}}{2}+\frac{1}{2})\\\\3\sqrt{6}+3\sqrt{2}i\)

Therefore, the square roots of \(36+36\sqrt{3}i\) are \(3\sqrt{6}+3\sqrt{2}i\) and \(-3\sqrt{6}-3\sqrt{2}i\).

There are several African nations where artifacts have been found which belonged to old empires. Some of those artifacts include:

The Benin Bronzes which were found in modern-day Ni-geria, are considered a marvel of art and were looted by the British.

The Rosetta Stone in Egypt allowed for the translation of Hieroglyphics and the Bangwa Queen was a symbol of strength for the Bangwa. This is much like the Zimbabwe bird of Great Zimbabwe.

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Answer:

  2000/17 = 117 11/17 miles

Step-by-step explanation:

You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.

The fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:

  \(\dfrac{17}{17}-\dfrac{9}{17}=\dfrac{17-9}{17}=\dfrac{8}{17}\)

That fraction of the total trip miles is ...

  (8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi

The number of miles not downhill was 2000/17 or 117 11/17 miles.

we know that

A vertical parabola of the form

y=a(x-h)^2+k has a vertical directrix (x=h)

and a horizontal parabola of the form

x=a(y-k)^2+h has a horizontal parabola (y=k)

therefore

In this problem

option 1 ----> horizontal directrix

option 2 -> horizontal directrix

option 3 ---> vertical directrix

option 4 -> vertical directrix

Answer:

4x^2 - 4x - 3

Step-by-step explanation:

f(x) = 2x - 1

g(x) = x^2 - 4

g(f(x)) = ?

[substitute the x of g(x) with f(x)]

g(x) = x^2 - 4

g(f(x)) = (2x - 1)^2 - 4

[solve]

[binomial * binomial = quadratic equation]

[use FOIL method (first, outer, inner, last)]

g(f(x)) = (2x - 1)(2x - 1) - 4

g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4

[combine like terms]

g(f(x)) = 4x^2 - 2x - 2x + 1 - 4

g(f(x)) = 4x^2 - 4x - 3

Answer:

X=21

Step-by-step explanation:

38 is a supplementary angle with 142. If you plug in 8x-26=142 and work it out, you'll get 21.

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

A valid solution of x in the equation √(x - 1) - 5 = 2 - 8 is 2

The given equation is √(x - 1) - 5 = 2 - 8

Examining the equation shows that the equation has a radical which is square root

the equation √(x - 1) - 5 = 2 - 8 is solve by collection the like terms

√(x - 1) - 5 = 2 - 8

add 5 to both sides

√(x - 1) - 5 + 5  = 2 - 8 + 5

√(x - 1)  = -1

solving the radical part

√(x - 1)  =  -1

(x - 1)  =  -1²

x - 1 = 1

x = 1 - 1

x = 2

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Answer:

\(y=-|x+1|+1\)

Step-by-step explanation:

Parent function:  \(y=|x|\)

Reflected in the x-axis:  \(y=-|x|\)

Translated 1 unit to the left:  \(y=-|x+1|\)

Translated 1 unit up:  \(y=-|x+1|+1\)

The answer is x=-4

I’ve attached my work explaining why below :)

x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

Two or more expressions with an Equal sign is called as Equation.

The given equation is -2(3x + 6) = 4(x + 7

We need to find the inequality which represents the solutions of the equation.

Let us solve for x

-2(3x + 6) = 4(x + 7)

Apply distributive property

-6x-12=4x+28

Take the variable terms on one side.

-6x-4x=28+12

-10x=40

Divide both sides by 10

x=-4

Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

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