mateo bought a grand piano for $5 010.25. the piano increases in value by 1.99% each year. which equation can be used to find the number of years it will take for the piano to be worth twice the original purchase price?​

Answer:

41.5

23.5

Step-by-step explanation:

Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is -18. In other words, x minus y equals -18 and can be written as equation B:

x - y = -18

Now solve equation B for x to get the revised equation B:

x = -18 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

-18+y+y=65

-18 + 2y = 65

2y = 83

y = 41.5

Now we know y is 41.5. Which means that we can substitute y for 41.5 in equation A and solve for x:

x + y = 65

x + 41.5= 65

X = 23.5

DIfference : 23.5 - 41.5 = 18

Sum: 41.5 +23.5 = 65

Hence, The two number are 23.5 and 41.5

[RevyBreeze]

Answer:

its the second one

Step-by-step explanation:

Well knowing that around

at age 40 giving birth to a child with down syndrome is about 46% or 47%

but at age 45 I'm pretty sure it's 3%

Hope this helps!

Answer: 4000

Step-by-step explanation:

If for example 5 is 1% of what number, you would multiply that by 100/1 and multiply that by 5.

For 36 is 0.9% of what number, you would multiply the 36 by 100/0.9 and multiply that by 36.

100/0.9 is 111.11 and 111.11 x 36 is 4000, so 4000 would be your answer.

Answer:

x = 45

Step-by-step explanation:

15 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )

45 = x

Answer:

x = 45

Step-by-step explanation:

15 =  x

15(3)=x

45=x or x=45

Answer:

- [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x - y = 9 ( subtract 4x from both sides )

- y = - 4x + 9 ( multiply through by - 1 )

y = 4x - 9 ← in slope- intercept form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex]

Answer: See graph and proof below

Step-by-step explanation:

Under the reflection about the line x=-2

[tex]\begin{aligned}&A(-4,4) \longrightarrow A^{\prime}(0,4) \\&B(-3,3) \longrightarrow B^{\prime}(-1,3) \\&C(-3,2) \longrightarrow C^{\prime}(-1,2) \\&D(-5,1) \longrightarrow D^{\prime}(1,1) \\&E(-5,3) \longrightarrow E^{\prime}(1,3) \\&m < A=m < A^{\prime} \text { is true. }\end{aligned}[/tex]

Answer:

Skewed left

Step-by-step explanation:

The outlier extends the curve making it skewed left is what i think

This question is Incomplete

Complete Question

Colleen compared the ratios 3:8 and 1/2.

Her work is shown below.

Write the ratios as fractions: 3/8 and 1/8 Compare the numerators: 3 > 1 Write the correct statement: 3/8 > 1/2

Where did Colleen make her first mistake?

A. The common denominator should be 4 rather than 8

B. The numerators are compared incorrectly.

C. The fraction 1/2 should have been rewritten as 6/8

D. The fraction 1/2 should have been rewritten as 4/8.

Answer:

D. The fraction 1/2 should have been rewritten as 4/8.

Step-by-step explanation:

Colleen compared the ratios 3:8 and 1/2.

Step 1

Write the ratios as fractions: 3/8 and 1/2

Step 2

Compare the numerators: 3 > 1

Step 3

Compare the denominators 8 >2

Write the correct statement:

3/8 > 4/8

Therefore, D. The fraction 1/2 should have been rewritten as 4/8.

Answer:

irrational numbers

pi belongs to the set of irrational numbers

Step-by-step explanation:

The Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k). ...I think.. Hope it is right...;3

Answer:

180 Degree Rotation

When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).

Step-by-step explanation:

The side lengths that make the area of rectangles as modelled are -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

A function is a elation between a dependent and independent variable.

Given is to identify the correct side lengths of the figures.

We can write the side lengths as -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

Therefore, the side lengths that make the area of rectangles as modelled are -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

To solve more questions on functions, visit the link-

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Answer:

Step-by-step explanation:

Comment

This uses the cosine Law for line length.

Formula

a^2 = b^2 + c^2 - 2*b*c*sin(A)

Givens

a  = 5

b = 7

c = 10

Solution

5^2 = 7^2 + 10^2 - 2*7*10*cos(A)

25 = 49 + 100 - 140*cos(A)                  Combine the right side

25 = 149 - 140 * cos(A)                         Subtract 149 from both sides

25 - 149 = - 140*cos(A)                    

-124 = -140 * cos(A)                               Divide both sides by -140

-124/-140 = cos(A)

Cos(A) = 0.8857                                   Take the inverse Cos of both sides

A = cos-1(0.8857)

Answer

A = 27.66 degrees

Answer: 11 cm

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

If n means 9 then 26 is the correct answer because 9hr. - 1hr. = 8hr. x 3 = 24 rings + 2 rings = 26.

The volume of the rectangular prism will be  [tex]V=1.26m^{3}[/tex]

Given that

[tex]\rm Lenth \ of \ the \ rectangular \ prism =1.4\ m[/tex]

[tex]\rm width\ of \ prism=0.5\ m[/tex]

[tex]\rm Height \ of \ prism=1.8\ m[/tex]

[tex]\rm Volume \ of \ the \ Rectangular \ Prism= L\times W\times H[/tex]

[tex]V=1.4\times 0.5\times1.8=1.26 \ m^{3}[/tex]

Thus the volume of the rectangular prism will be  [tex]V=1.26m^{3}[/tex]

To know more about the volume of the rectangular prism follow

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answer is 45 ( x = 45 ) yes or no

Answer:

a = 3

Step-by-step explanation:

Here you can use the cross multiplication strategy or whatever it's called. That's where you multiply the diagonals together. Its kinda long to explain, but you can google it for details.

In either case, you get the following equation:

8(2a-1) = 4(a+7)

Open the parenthesis

16a - 8 = 4a + 28

Subtract 4a from both sides

12a - 8 = 28

Add 8 to both sides

12a = 36

Divide both sides by 12

a = 3

Sorry for weird formatting I'm on an ipad.

Answer:

Your answer is: A = 3

Solve for  a  by cross multiplying.

Step-by-step explanation:

Hope this helped : )

Step-by-step explanation:

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Answer:

x = 1

Step-by-step explanation:

...................

Answer:

1

Step-by-step explanation:

Step 1:

3x + 11 = 5x + 9     Sum of a line

Step 2:

11 = 2x + 9      Subtract 3x on both sides

Step 3:

2 = 2x      Subtract 9 on both sides

Answer:

x = 1        Divide

Hope This Helps :)

Answer:

Subtract 3

Step-by-step explanation:

The first operation that should be done first in the expression 5x + 3 = 28 is subtracting 3 from both sides.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, 5x + 3 = 28.

The first operation that should be done first is subtracting 3 to both the side of the equation to separate the variable x and the constant term.

∴ 5x + 3 - 3 = 28 - 3.

5x = 25.

x = 5.

learn more about numerical expression here :

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Answer:

scale factor = 4

Step-by-step explanation:

The scale factor is the ratio of OA' to OA , that is

scale factor = [tex]\frac{OA'}{OA}[/tex] = [tex]\frac{3+9}{3}[/tex] = [tex]\frac{12}{3}[/tex] = 4

Well they have to  be perpendicual because they cross and parallel means that they are like lines on lines paper, they do not cross, they just keep going. Hope this helps :)

Answer:

12

Step-by-step explanation:

Perimeter is using addition and if its a square, all of the sides are the same.

If one side = 3 cm, then 3cm + 3cm + 3cm + 3cm=12 cm

Answer:

12

Step-by-step explanation:

A square with 3cm long side

Area = 2 sides multiplied

Perimeter = All sides added

3 + 3 + 3 + 3 = 12cm

or

3 × 4 = 12cm

Answer:

Your answer is 27

Step-by-step explanation:

4 x 3 = 12

5 x 3 = 15

12 + 15 = 27

In the top row, first column the answer is D) Ray RQ and Ray RS. Opposite rays point in complete opposite directions. When joined, opposite rays form a line.

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In the top row, second column, the answer is B) S, T, U. We're naming three points that all fall on the same line.

===============================================

In the bottom row, first column, the answer is A) Point. An example of this is the diagram in the bottom right corner. The lines WV and XZ intersect at the point Y.

-----------

Finally, in the bottom row, second column, the answer is D) Ray YW and Ray YV. Like with the first problem, we're listing two rays that when joined, form a straight line. They point in complete opposite directions. The order matters when it comes to naming a ray. The first letter tells us the endpoint and the second letter tells us where the ray points and goes on forever.

Answer:

2.5 minutes per question

Step-by-step explanation:

90 mins/ 36 questions equals 2.5 mins per question

it's C since it also has 4 elements

Answer:

Step-by-step explanation:

Which ways?