there years ago Ava lent her sister $400 to buy some clothes. today Ava's sister pay her loan in full with $454. what simple annual interest rate did she pay?

Answers

Answer 1

Answer:

4.5% per year


Related Questions

identify the errors made in finding the inverse of y = x2 + 12x. An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = Start Root negative 11x End Root, for x greater-than-or-equal 0.

Answers

Answer:  Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Step-by-step explanation:

solving for the inverse of y = x² + 12x

Line 1:    x = y² + 12 x.      

Line 2    y² = x - 12 x.  

Line 3 is y²= - 11 x.

Line 4 is y = √(- 11x)  for x ≥ 0.

The error lies in Line 1. All x's have to be switched with y's and vice versa for the method to work.

As such Line 1 should be  x = y² + 12y  NOT (x = y² + 12 x)

Since Line one is wrong, it messes with all the other lines.

Subtract the linear expressions. (−2.6x+4.2)−(3.9x+2.5) What is the difference? Enter your answer in the box.

Answers

Answer:

-13x/2+1.7

Step-by-step explanation:

The difference of the given expression is - 6.5 x + 1.7.

Given that, (−2.6x+4.2)−(3.9x+2.5).

What is the subtraction of expressions?

To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.

Now, (−2.6x+4.2)−(3.9x+2.5)

= (-2.6x-3.9x)+4.2-2.5

= - 6.5 x + 1.7

Therefore, the difference of the given expression is - 6.5 x + 1.7.

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A line passes through the points (−6,−8) and (−3,−7). What is the equation of the line in Slope-Intercept Form?

Answers

First, solve for slope:
-7 - -8 = 1
-3 - -6 = 3
1/3 = m

Next, plug in one of your points into
y = (1/3) x + b
-7 = -1 + b
-6 = b

Answer:
y = (1/3)x-6



please help me thank you​

Answers

Answer:

Step-by-step explanation:

1.x +y = 1   Yes

2. Power of variable e is 3. So, it is not a linear equation

No.

3) Great than symbol is there. No, it is not a linear equation.

4. 2x -y = 2x + 5

2x - y - 2x = 5

      -y = 5 is not a linear equation with two variable.

No.

5. No.

1) (5,14)  ; (19,7)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}[/tex]

2) (-10 , 1)  ; (-10 ,4)

x- coordinate is same for both the points. So, the line is parallel to y-axis

Slope = undefined

[tex]3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}[/tex]

[tex]4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}[/tex]

Compare with y = mx + b  ; here m is slope

1. y = -2x - 8

slope = -2

2. x = 3

Line is parallel to y-axis.

So, slope = undefined

3.2x - y = 4

        2x - 4 = y

y = 2x - 4

Slope = 2

4.) 2x + y - 5 = 0

       y = -2x + 5

Slope = -2

Which type of parent function is f(x) =^3cubed x

A. Square root
O B. Cube root
O C. Reciprocal
D. Quadratic
Help quick!!!

Answers

Answer:

Cube Root

Step-by-step explanation:

Because there is a 3 outside the symbol.

That means the equation is stating: y * y * y = x

Hope this helps :)

A concert venue can hold up to 2,400 people. 50 tickets are automatically reserved for radio stations to give out. When tickets go on sale for a Coldplay concert, 30 tickets are sold every minute. Which inequality below represents times in minutes , m, before the concert is sold out?

Answers

The tickets will be sold out in 78.333 minutes

Can someone help me with this please!

Answers

Answer:

The correct answer would be A!

Answer:

Answer is A

Step-by-step explanation:

Hope it helps!

tickets for the school play cost 6 dollars for the adults and 3.50 for the students

Answers

Answer:

what's the problem i know that "tickets for the school play cost 6 dollars for the adults and 3.50 for the students" but you didn't say how many people are going

Step-by-step explanation:

is 24:4 equivalent to 6:1

Answers

If you divide 24 and 4 by 4 then you would get 6 and 1, so yes it is equivalent.

A cleaning solution uses 5 cups of soap for every 2 cups of vinegar. If Emery put 4 cups of soap in a container, how
many cups of vinegar must she use?

Answers

1.6 cups of vinegar for 4 cups of soap.

1.6 cups of vinegar used for 4 cups of soap.

What is Unitary Method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For  5 cups of soap = 2 cups of vinegar

For 1 cups of soap = 2/5 cups of vinegar used.

Now we have to find how much vinegar required for 4 cups of soap.

So, for 4 cups of soap

=2/5 * 4

=8/5

=1.6 cups of vinegar used.

Hence, 1.6 cups of vinegar used.

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I need help!!! Can you figure this out?

Answers

Answer:

128 degrees

Step-by-step explanation:

38+90=128

construct a quadrilateral Zeus in which NE=7 cm ,EW = 6 cm <N=60° , <E=110° and <S=85°​

Answers

Answer:

look it up online

Step-by-step explanation:

look it up online

Answer:

Hello didi

Step-by-step explanation:

I am changing my account

so can u tell me how I sellect as friend on this app

so didi my new id is of nature lover

how can I Simplify 4p³ × 3p⁷​

Answers

[tex] = 12 {p}^{10} [/tex]

hope it helps

#carry on learning

Find the equation of the line that goes through (-8,11) and is perpendicular to x= - 15. Write the equation in the form x = a, y = b, or y = mx + b.
The equation is
(Type the equation using integers or fractions. Simplify your answer.)

Answers

Answer:

y=11

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (-8, 11) and is perpendicular to x=-15

If a line is perpendicular to another line, it means that the slopes of those lines are negative and reciprocal; in other words, the product of the slopes is equal to -1

The line x=-15 has an undefined slope, which we can represent as 1/0, which is also undefined.

To find the slope of the line perpendicular to x=-15, we can use this equation (m is the slope):

[tex]m_1*m_2=-1[/tex]

[tex]m_1[/tex] in this instance would be 1/0, so we can substitute it into the equation:

[tex]\frac{1}{0} *m_2=-1[/tex]

Multiply both sides by 0

[tex]m_2=0[/tex]

So the slope of the new line is 0

We can substitute it into the equation y=mx+b, where m is the slope and b is the y intercept:

y=0x+b

Now we need to find b:

Since the equation passes through the point (-8,11), we can use its values to solve for b.

Substitute -8 as x and 11 as y:

11=0(-8)+b

Multiply

11=0+b, or 11=b

So substitute into the equation:

y=0x+11

We can also write the equation as y=11

Hope this helps!

Ron earned $95 in interest for leaving $1,000 in an account for 3 years. What was his rate? Round to the nearest hundredth (2 decimal places).

Answers

Answer:

x=0.0307

Step-by-step explanation:

The formula F=95C+32 changes a temperature reading from the Celsius scale C to the Fahrenheit scale F. What is the temperature measured in degrees Fahrenheit when the Celsius temperature is 50°C?

Answers

Answer:

122°F

Step-by-step explanation:

F=(50×9/5)+32

= 122°F

Find the slope of the line through each pair of points.
(−13, −19), (13, 3)
Find the slope of each line.
y = 2x − 1

Answers

Answer:    slope = ¹¹/₁₃ Step-by-step explanation:    

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

What the answer?????

Answers

Okay,

So this equation is non existent. It is not an equation nor expression.

Key Info:

x - variable

0.256 - decimal

10.3 - decimal

Hope this helps.

Add more information to your answers. ( GIVE CONTEXT )

please please please answer ill pay you

Answers

Answer:

Your answer is :

There are three basic Transformations ( changes ) that can be done to a shape. They are Reflection, Rotation, and Translation. These transformations move the shape without making any Changes to its shape or size. A Reflection flips a shape over to create a mirror image. The dotted line in the video is like a Mirror. The copied second shape we see across the line is called an Image. It is exactly Opposite the first shape.

Step-by-step explanation:

Hope this helps!

There are three basic transformations that can be done to a shape. They are reflection, rotation, and translation.

Reflection RotationTranslation

These transformations move the shape without making any changes to its shape or size. A reflection flips a shape over to create a mirror image. The dotted line in the video is like a reflection. (The triangle below on the right side has been reflected (flipped) over the dotted line to create a mirror image. The second shape we see across the line is called an image. It is exactly opposite of the first shape.

calculate the area of the shape

Answers

Answer:   a. 164 u²

Step-by-step explanation:

Area of a trapezium  = ¹/₂ (a + b) h

But the height isn't given. So we have to solve for it.

h = √(10² - 6²)         [using the Pythagorean theorem]

  =  8

       

∴ Area of the shape =   ¹/₂  (13 + 28) 8

                                 =  164 u²

Given that a = 4 and b = 6, find the value of a+b ​

Answers

Answer:

10

Step-by-step explanation:

We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,

a + b

Is the same as

4 + 6, which equals 10.

Therefore, the value of a+b is 10

Hope this helps :)

8= -2/5c c=
What does c= ?

Answers

Answer:

c = -20

Step-by-step explanation:

8/-0.4=-20.

8 = (-2/5) * 20

Given that ∠ADC≅∠BCD, AC⊥CD and BD⊥CD, which of the following proves that △ACD≅△BDC?

Answers

Answer:

1.  ∠ADC≅∠BCD (Given)

2.  AC¯¯¯¯¯⊥CD¯¯¯¯¯;  BD¯¯¯¯¯⊥CD¯¯¯¯¯  (Given

)3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6.  △ACD≅△BCD (ASA Steps 1, 5, 4)

△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.

What is of congruent triangle?Congruent triangles have comparable sides and angles that are equal. The symbol "≅" represents congruence.The three sides are all the same (SSS: side, side, side)Two angles are the same, as is a corresponding side (ASA: angle, side, angle)We know that two triangles are congruent if all of their sides are the same— thus side, side, side (SAS: side, angle, side). We also know they are congruent if we have a side, an angle between the sides, and another congruent side—so side, angle, side.

1.  ∠ADC≅∠BCD (Given)

2.  AC⊥CD;  BD⊥CD  (Given

3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD≅CD (Reflex. Prop. of ≅)

6.  △ACD≅△BCD

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what is 1.07 × 103 in standard form.

Answers

Answer:

Multiply  1.07  by 103. 110.21

Step-by-step explanation:

Tell me if i'm wrong. Hope this helps!

Two cars start at a given point and travel in the same direction at average speeds of 45 miles per hour and 52 miles per hour (see figure). How far apart will they be in 4 hours?

Answers

Answer:

half apart

Step-by-step explanation:

hope it help you

13 For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a
coordinating response. Be sure to clearly label each part of your response as Part A Part B, and Part C.
Part A: Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?
Part B: Round your answer to an appropriate number.
Part : In a short paragraph, explain in your own words your work for Steps A and B.

Answers

Answer:

35 / 9.99 = can buy 4 rounded

paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.

(02.01)Which translation will change figure ABC to figure A'B'C'?

3 units right and 3 units up

4 units right and 3 units up

4 units right and 4 units up

4 units left and 3 units down

Answers

Answer:

4 units right and 3 units up.

Step-by-step explanation:

32 is 4 times as much as what number

Answers

Answer: 8

Step-by-step explanation:

The 4 times of the number 8 results to 32.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

32 is 4 times as much as what number

let the number be x.

So, 4 times of x = 32

4x = 32

Divide both side by 4.

4x/4 = 32/4

x= 8

Hence, the 4 times of the number 8 results to 32.

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PLEASE HELP ILL MARK BRAILIEST!!!!!

Answers

Answer:

(-6,2)

Step-by-step explanation:

Answer:

y=4/5x-17/5

Step-by-step explanation:

Hope this helps!

The second picture is the same as the picture you have thus the equation is correct

Distribute:
-10(-r+7)-8(r+7)

Answers

Answer:

r+17=8r+7

r=10+8r

r=2

Step-by-step explanation:

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