Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.

Answer:

c or d

Step-by-step explanation:

Answer:

Step-by-step explanation:

Worth of furnishings = $1580

Tax rate = 4.5%

Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10

Amount paid = $1580 + $71.10 = $1651.10

Since the decorator's fee was 12% of the purchases. This will then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee on purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

= $198.132

Answer:

45°

Step-by-step explanation:

A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).

For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).

Consecutive angles are supplementary that is ∠A + ∠B = 180°.

The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.

In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:

∠H = ∠J (opposite angles of a parallelogram are equal)

∠J = 45°

Answer:

3×x -3×2=-6

or,3x-6=-6

or,3x=-6+6

or,x=0/3

therefore=x =1 answer

Answer:

x = 0

Step-by-step explanation:

Distribute the left side

3(x-2) = -6

3x-6 = -6

Add 6 to both sides

3x = 0

Divide both sides by 3

x = 0/3

x = 0

Answer:

[tex]\frac{35}{18}[/tex] π m

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{50}{360}[/tex] ( r is the radius )

     = 2π × 7 × [tex]\frac{5}{36}[/tex]

     = [tex]\frac{70}{36}[/tex] π

     = [tex]\frac{35}{18}[/tex] π

Answer:1/4

Step-by-step explanation:

10/40

1/4

Answer:

n<30

Step-by-step explanation:

have a great day

Answer:

30 percent. Trust me, if not then look it up

Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

Answer: 11 < x < 35

suppose: the length of the third side is x

because x is the third side of a triangle

=> 23 - 12 < x < 23 + 12

⇔ 11 < x < 35

Step-by-step explanation:

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]\:c=\sqrt{a^2+b^2}[/tex]

substituting a=5, b=20

[tex]c=\sqrt{5^2+20^2}[/tex]

[tex]c=5\sqrt{17}[/tex]

[tex]c=20.6[/tex] ft

Thus, the tree is 20.6 ft tall.

Answer:

Step-by-step explanation:

The distributive property affects both terms.

1/2 * 10x + 1/2 * 20 y

5x + 10 y <===== Answer

Answer:

5x+10y

Step-by-step explanation:

1/2•10= 5

1/2•20= 10

5x+10y

We have proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

In the given question

we have to prove that

(2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

For proving we will solve the LHS and RHS separately and then equate them .

First Solving LHS

we have

=(2*10²)*(3*10⁵)

=(2*3)*(10²*10⁵)

=6*10²⁺⁵       ...( because aⁿ.aˣ = aⁿ⁺ˣ )

=6*10⁷    ...(i)

Now solving RHS

we have

=3.5*10⁷+2.5*10⁷

taking 10⁷ common , we get

=(3.5+2.5)*10⁷

Adding the terms in the bracket we get

=6*10⁷     ...(ii)

As we can see that from equation (i) and (ii) we have LHS=RHS

Hence proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

Therefore , Proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

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Answer:

im going for b

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

You can tell by the equation and the direction of the "<" sign that b is correct.

I've done lots of these problems before.

Answer:

Answer is 4.2

Step-by-step explanation:

Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3 = (-4 + x₂)/2

Cross-multiplying, we have:

6 = -4 + x₂

x₂ = 6 + 4

x₂ of S = 10.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

3 = (-6 + y₂)/2

Cross-multiplying, we have:

6 = -6 + y₂

y₂ = 6 + 6

y₂ of S = 12.

Therefore, point S is equal to (10, 12).

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Answer: a.70% b.38% c.100% d.31% e.67%

Step-by-step explanation:

Answer:

134.38 dollars

Step-by-step explanation:

Answer: indirect characterization

Step-by-step explanation:

Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.

Answer:

I believe it's 12.

Step-by-step explanation:

The interquartile is the box I think.

Answer:

B, C, F

Step-by-step explanation:

B- has different lengths for each side and different angles

C-has different lengths for each side and different angles

F-has different lengths for each side and different angles

Non congruent triangles means if shape is reflected or rotated they would not look the same. Congruent triangles have same equal length and angles are equal in measure.

Answer:

Graph A

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Answer:

p = - 2x + 54

Step-by-step explanation:

The price-demand linear equation is

p = mx + b

which is the equation of a straight line in slope-intercept form

The parameters here are m = slope and b = y-intercept in line equation terms

x is the number of shirts sold and p is the price

Using values given, we can generate two equations which can solve for the parameters of the linear equation

To sell 10 shirts, the price has to be $34
==> 34 = m x 10 + b = 10m + b

Switch sides to get 10m + b = 34     (1)

To sell 20 shirts, the price has to be $14
==> 14 = 20m + b  
Switch sides to get 20m + b = 14   (2)

Subtract (2) from (1) to eliminate the term b

(1) - (2)
==> 10m+b - (20m+b) = 34 - 14    

==> 10m + b - 20m - b = 20
==> 10m - 20m = 20
==> - 10m = 20

==> m = 20/(- 10) = - 2.4  

==> m = - 2.0
This term is also referred to as the elasticity of demand ie how much demand changes with respect to price change. It is negative here because as you increase the price, the demand decreases

Now that we have value for m all we have to do is plug it into one of the equations (1) or (2) and solve for b

Using equation (2),
20(- 2) + b = 14

==> - 40 + b = 14
==> 0 + b = 14 + 54(Add 48 on both sides)

==> b = 54

So the price-demand equation is
[tex]\boxed{\sf{p=-2x + 54}}[/tex]

Answer:

5.7%

Step-by-step explanation:

The formla for calculating compound interest is expressed as;

A = P(1+r)^t

A is the amount = $430

P is the principal = $220

r is the rate

t is the time = 12 years

Substitute and get r;

430 = 220(1+r)^12

430/220 =  (1+r)^12

1.955 = (1+r)^12

1.057 = 1+r

r = 1-1.057

r = 0.057

r = 5.7%

The interest rate is 5.7%

Answer:

i think it's 56.1% but the decimal may be wrong

The value of the equation A = 23/41 is 56.1 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 23/41   be equation (1)

On simplifying the equation , we get

A = 0.56097

Now , the value of A in percentage is

A = 56.097 %

Now , on simplifying the equation , we get

A = 56.1 %

Therefore , the value of A is 56.1 %

Hence , the equation is 56.1 %

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In 2012, 8 percentage of high school seniors sampled had used lad sometime during their life.

LSD use among secondary school understudies is a specific concern. In excess of 8% of secondary school seniors in the United States utilized the medication something like once in the course of their life, and almost 4% involved the medication in the previous year, as per the University of Michigan's Monitoring the Future Survey. In spite of the fact that by the 1980s LSD use had extraordinarily declined, it made a resurgence during the 1990s, basically among teens. An overview led by Monitoring the Future Study discovered that 13.6 percent of 1997's secondary school seniors had tried different things with LSD no less than once contrasted with just 7.2 percent in 1986.

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