Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072. What percent simple interest does the account earn per year?

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Explanation:

We have these points

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.

the 3 statements are:

The converse statement is: If it is daytime, then the sun is out.

The inverse statement is: if the sun is not out, then is not daytime.

The contrapositive statement is: if it is not daytime, then the sun is not out.

If we have two propositions P and Q, then we have a conditional statement:

If P then Q.

The converse statement is: if Q then P

The inverse statement is: if Not P, then Not Q.

The contrapositive statement is: if Not Q, then Not P.

The conditional statement is:

"If the sun is out, then it is daytime"

So we have:

P = the sun is out.

Q = it is daytime.

Then the 3 statements are:

The converse statement is: If it is daytime, then the sun is out.

The inverse statement is: if the sun is not out, then is not daytime.

The contrapositive statement is: if it is not daytime, then the sun is not out.

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Answer:

. .......... ok............

Answer:

x=4

Step-by-step explanation:

[tex]-3x+29-29=17-29 < - Subtract[/tex]
[tex]-3x=-12[/tex]
[tex]\frac{-3x}{-3}=\frac{-12}{-3} < - Divide[/tex]
[tex]x=4[/tex]

The inverse of the function is; f⁻¹(x) = - 15 ± √(x + 225)

We have been given a quadratic function f(x) =  x(x + 30) and we need to restrict the domain such that it becomes a one to one function.

Now, the given function can also be written in vertex form as;

f(x) = (x + 15)² - 225

We know that vertex of this quadratic function occurs at (-15, -225).

Further, we know that range of this function is (-225, ∞).

If we restrict the domain of this function to either (-∞, -225) or (-225, ∞) , it will become one to one function.

Let us know find its inverse;

y =  (x + 15)² - 225

Upon interchanging x and y, we get:

x =  (y + 15)² - 225

Solving for y gives;

y = - 15 ± √(x + 225)

Thus, the inverse of the function is;

f⁻¹(x) = - 15 ± √(x + 225)

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Answer: 10. (2,4)  11. (4,9)  13. (2,-2)  14. (1,2)

Step-by-step explanation:

Just plugged em into desmos & double checked

Answer:  11. (4,0) 13. (2,-2)

Step-by-step explanation:

11.

[tex]\displaystyle\\\left \{ {{y=\frac{1}{2} x+7 } \atop {y=\frac{3}{2}x+3 }} \right. \\\\y=\frac{1}{2}x+7[/tex]

x | 0 | 4 |

y | 7 | 9 |

[tex]\displaystyle\\y=\frac{3}{2}x+3\\[/tex]

x | 0 | 2 |

y | 3 | 6 |

13.

[tex]\displaystyle\\\left \{ {{y=x-4} \atop {y=-x}} \right. \\\\y=x-4[/tex]

x |  0 | 4 |

y | -4 | 0 |

[tex]y=-x[/tex]

x | 0 |  4 |

y | 0 | -4 |

An algebraic expression to represent the number of kilometres John ran in June month last year is 30a.

Given that, John runs the same number of kilometres each day.

We need to find an algebraic expression to represent the number of kilometres John ran in June month last year

An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Let us assume that john is running 'a' kilometres per day.

We know that June month composed of total 30 days

So the algebraic expression for the number of kilometres John ran in June last year = Number of kilometres running per day × Number of days in the month of June

=a × 30=30a

Therefore, an algebraic expression to represent the number of kilometres John ran in June month last year is 30a.

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Answer: -6

Step-by-step explanation:

-4(1)-2=-6

Answer:

f(1) = -6

Step-by-step explanation:

Hello!

Substitute 1 for x in the equation.

f(1) is -6.

I have two answers depending on the format. I'm not sure if the entire function is to the 2ndpower or not. Either way, it's either 256 or 4.

There is no such number that has the result is the same number written in base 7 and base 10.

Decimal and Octal numbers:

Decimal system is most familiar number system to the general public. It is base 10 which has only 10 symbols − 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Whereas octal system is one of the number systems to represent numbers. It is base 8 which has only 8 symbols − 0, 1, 2, 3, 4, 5, 6, and 7.

Given,

When a three-digit number written in base 10 has its final digit moved to the beginning, the result is the same number written in base 7.

Here we need to find all such numbers.

Let abc be the starting number, where the catenated letters represent digits, and not factors like in the product

=> a x b x c

And each of a,b, and c can be elements of the list,

=> {1,2,3,4,5,6,7,8,9,0}

Except a≠0.

Since abc is a base-10 numeral, we can also write it as

=> 10²a + 10¹b + 10⁰c

Which can be expanded as,

=> 100a + 10b + c ----------------------(1)

Moving the last digits to the first slot makes the new number,

=> 100c + 10a + b------------------------(2)

So, here the value c≠0.

We know that, the digits in the base-10 numeral cab are identical to those of the base-7 numeral that is written as cab₇.

In the equation form it is equal to,

=> 7²c + 7¹a + 7⁰b

=> 49c + 7a + b ---------------------(3)

but since we're working in base 7 now, the digits a,b, and c cannot exceed 6.

Now, we want to solve for a, b, and c such that

By equalizing the equations 2 and 3,

=> 100c + 10a + b = 49c + 7a + b

=> 100c + 10a + b - 49c - 7a - b

=> (100 - 49)c + (10 - 7)a

=> 51c + 3a

=> 3 (17c + a)

Both a and c must be positive, but this equation has solution,

=> a = -17c

So there are no positive integers solutions, and hence no such number.

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Answer:

Quotient = 0; Remainder = 16

Step-by-step explanation:

Answer:

We can see that after 2 years, enrollment becomes 35 instead of 15.

35/15=2.333...)

Since it's exponential, take sqrt(2.333...)=about 1.5

So the growth is 50%

Answer:

gegrgryyrryryryyryryr

Answer:

Shorter piece: 5    Longer piece: 11

Step-by-step explanation:

(2x+1)+(x)=16

3x+1=16

3x=15

x=5

HHe will owe the IRS and the amount is $4603.03

In this question, we have been given Mr. Sullivan's employer withheld $19,342.19 in federal income tax.

Elsner has determined that his tax is $23,945.22

We need to find whether he get a refund, or he owes the IRS.

From given information,

Employer withheld in federal taxes last year = $19,342.19

His tax amount is $23,945.22

So by considering the above information, the he owes the additional taxes because the tax amount i.e., $23,945.22 is more than the withheld amount i.e., $19,342.19

So, the additional taxes would be,

$23,945.22 - $19,342.19 = $4603.03

This difference represent the additional taxes owed.

Therefore, he will owe the IRS and the amount is $4603.03

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34.3 Km /h was her average velocity in km/h.

What is average velocity?

average velocity = Displacement / time taken

            V = d/ l

V = 10.3 Km/0.300m = 34.3Km

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For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

Two triangles are said to be congruent if they have the same shape and their corresponding sides are also equal. Therefore, their corresponding angles would also be congruent.

For the two triangles to be congruent by the side angle side (SAS) criterion, then the angle in between the two marked sides must be congruent.

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Answer:

as shown on the screen shot

2(x+1)+4

Distributive property : According to this property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

solve equation by using distributive property we should use laws of this property that are as follows:

Expand the equation. Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms.

2(x + 1) + 4 = 8

2(x)+2(1)+4=8

2x+2+4=8

2x+6=8

2x=8-6

2x=2

x=2/2

x=1

so final conclusion is Option A  2(x+1)+4=8 is the right answer

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Answer:

x = 4

Step-by-step explanation:

4x + 2(x + 6) = 36

4x + 2x + 12 = 36

6x  = 36 - 12

6x = 24

x = 24

      6

x = 4

Answer: 7, and 31

Step-by-step explanation:

7 + 12 = 19 or 19 - 12 = 7

19 + 12 = 31

The other number will be - 7.

Yes, There is only one answer.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The difference of two numbers is 12.

And, one of the numbers is 19.

Now,

Let two numbers are x and y.

So, We get;

x + y = 12

Here, one of the numbers is 19.

So, x = 19

We get;

x + y = 12

19 + y = 12

y = 12 - 19

y = - 7

Thus, The other number will be - 7.

Yes, There is only one answer.

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Answer:

6x+25

Step-by-step explanation:

6 times a number. Let x represent that number.

6x

It also says the to add 25 to the expression.

Add 25 to 6x.

6x+25

Hope this helps!

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Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. [tex]\frac{13 * 4}{25 * 4}[/tex]

step 3: we get [tex]\frac{52}{100}[/tex]

step 4: now we can easily write the decimal fraction. ie. 0.52

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The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

According to the given question.

We have a linear equation in two variables 2r - 2p = n.

Here we have to solve the given linear equation 2r - 2p = n in two variables for p.

So, the solution of the equation 2r - 2p = n for p is given by

2r - 2p  = n

⇒ 2(r - p) = n    (taking 2 as a common)

⇒ r - p = n/2     (dividing both the sides by 2)

⇒ r - n/2 - p = 0     (subtracting n/2 from both the sides)

⇒ r - n/2 = p            (adding p both the sides)

⇒ p = r -n/2

Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

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4:21 are the odds against exactly 55 cars passing over the bridge in that time.

What is Probability?

Probability of 0.16, thus, for 100 trials, 16 successes and 84 failures, and the odd is:

16:84, which, simplifying by 4, is 4:21.

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Answer:

13/21

Step-by-step explanation:

Solving steps

13/18 × 6/7

Simplify the expression

13/3 × 1/7

Multiply

Solution:

13/21

Alternative Form

0.619047

The answer in simplest form 13/18 x 6/7 = 13/21

To find the answer in simplest form 13/18 x 6/7

Simplify this, multiple nominator to nominator and denominator to denominator

(13 × 6)/(18 × 7) = 78/126

Now, reduce the fraction divide by 6,

we get,  78/126 = 13/21

Therefore, the final answer is 13/21.

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Answer: 2

Step-by-step explanation:

as x is to a power of 2 so degree is 2

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Answer:

Step-by-step explanation:

The angle measures, in order from least to greatest, of the dilated image  45°,55° and 80°.

A dilation is a function f from a metric space M into itself that satisfies the identity d=rd for all points x, y \in M, where d is the distance from x to y and r is some positive real number. In Euclidean space, such a dilation is a similarity of the space.

Euclidean space, In geometry, a two- or three-dimensional space in which the axioms and postulates of Euclidean geometry apply; also, a space in any finite number of dimensions, in which points are designated by coordinates (one for each dimension) and the distance between two points is given by a distance formula.

Dilations preserve angle measures, regardless of the scale factor. Therefore, the angle measures of the image will be the same of that of the pre-image, so our answer is still 45 °, 55 °, and 80 °.

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Answer:45,55,80

Step-by-step explanation:  dilations preserve angles measures regardless of the scale factor. Therefore the angle measures of the image will be the same of that of the pre-image ,so our answer is still 4545,5555,8080 .

Answer: 5 multiples of 9

Step-by-step explanation:

First take the difference between 100 and 60.

100-60=40

Then divide the difference by 9.

40/9=4.44

4.44 rounded up is 5 ==> 5 multiples of 9

Primero toma la diferencia entre 100 y 60.

100-60=40

Luego divide la diferencia entre 9.

40/9=4,44

4.44 redondeado es 5 ==> 5 múltiplos de 9

Answer:

5

Step-by-step explanation:

9*7 = 63

9*8 = 72

9*9 = 81

9*10 = 90

9*11 = 99

Hay 5 múltiplos de 9 entre los números 60 y 100