ms tabanelli deposits $20,000 in an account that has a 5% annual interest rate compound yearly. If she does not add to or withdraw from the account for 2 years, how much interest will she have earned for the 2-year period?

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The equation of the line is

y = 1/4x + 5

Comparing with the general equation above

Slope / m = 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = 1/4

So the equation of the line using point (2,-1) and slope 1/4 is

[tex]y + 1 = \frac{1}{4} (x - 2) \\ y - 1 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} + 1[/tex]

We have the final answer as

[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]

Hope this helps you

Answer:

x^2y^5

Step-by-step explanation:

Simplify the expressions.

Answer:

$65.70

Step-by-step explanation:

She would be giving 18 cents each day for 365 day so you multiply 18x365 which equals 6570 and that written in dollars is $65.70

Answer:

PT= 130

Step-by-step explanation:

Since T is the midpoint of segment PQ,

PT = TQ

7x - 24 = 6x-2

Subtract 6x both sides and add 24 both sides

7x -6x - 24 = 6x -6x -2

x - 24 + 24 = -2 + 24

x= 22

Substitue x into PT

7(22) - 24

154 - 24

PT= 130

Answer:

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]

Step-by-step explanation:

By hit and trial method,

Given series of fractions will be,

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex]

Since, [tex]\frac{3}{6}=\frac{3\times 1}{3\times 2}[/tex]

             [tex]=\frac{1}{2}[/tex]

[tex]\frac{7}{14}=\frac{7\times 1}{7\times 2}[/tex]

    [tex]=\frac{1}{2}[/tex]

[tex]\frac{29}{58}=\frac{29\times 1}{29\times 2}[/tex]

    [tex]=\frac{1}{2}[/tex]

Therefore, [tex]\frac{1}{2}=\frac{1}{2}=\frac{1}{2}[/tex] is the reduced form of the fractions.

[tex]\frac{3}{6}=\frac{7}{14}=\frac{29}{58}[/tex] will be the answer.

Answer:

[tex]x > \frac{16}{3} [/tex]

Step-by-step explanation:

[tex]4x - 8 > 24 - 2x \\ 4x + 2x > 24 + 8 \\ 6x > 32 \\ x > \frac{16}{3} [/tex]

Answer:

work is attached and shown

The coordinates of the midpoint will be (-2,-3).

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).

The midpoint will be calculated by using the formula below:-

( 8 + x ) / 2 = 3

( 8 + x ) = 6

x = -8 + 6 = -2

( -5 + y ) / 2 = -4

( -5 + y ) = -8

y =  -8 + 5 = -3

Therefore, the coordinates of the midpoint will be (-2,-3).

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Answer:

f(x)+3 =9+3 =12

2f(x)=2*9=18

2f(x)+3= 18=3 =21

Answer:

-4

Step-by-step explanation:

It’s -4

Answer:

(-4,-0.5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

its D which is 7

Answer:

X × 2 - 6

Step-by-step explanation:

"Twice a number" means that it needs to be multiplied by two and "6 less than" means you need to subtract 6 at the end.

Answer:

a.  -1, 1

b.  2, 7

c.  1, 1

Answer:

no i dont think so

Step-by-step explanation:

1) multiply both sides by p

5/9=-10p

2) divide by -10 to get p

5/9 divided by -10/1

(keep, change flip)

5/9* -1/10

-5/90

therefore p=-5/90

Answer:

No, the answer is -18

Step-by-step explanation:

[tex]\frac{5}{9}[/tex]p = -10

[tex]\frac{5p}{9}[/tex] = -10            CROSS MULTIPLY

-90=5p             DIVIDE BOTH SIDES BY 5

-18 = p

Answer:

The second choice

Step-by-step explanation:

Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.

Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8

The answer is B.P=9.4 m, A 48m^2

Think about the rule when multiplying powers together.

When multiplying two powers that have the

same base, simply add their exponents.

In this problem, each power has a base

of a and our exponents are m and n.

So adding these exponents together, we have a^m + n.

Answer:

W÷XZ= Y

Step-by-step explanation:

isolate the variable by dividing :)

Answer:

W÷XZ= YStep-by-step explanation:

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

Answer:

I think the answer is Associative.

Step-by-step explanation:

That's Commutative (a + b = b + a)

I hope Can to Help You ^_^

Answer:

x = 11/4

Step-by-step explanation:

[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]

Step 1: Cross-multiply.

[tex](x+8)*(8)=(6x+5)*(4)[/tex]

[tex]8x+64=24x+20[/tex]

Step 2: Subtract 24x from both sides.

[tex]8x+64-24x=24x+20-4x[/tex]

[tex]-16x+64=20[/tex]

Step 3: Subtract 64 from both sides.

[tex]-16x+64-64=20-64[/tex]

[tex]-16x=-44[/tex]

Step 4: Divide both sides by -16.

[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]

[tex]x = \frac{11}{4}[/tex]

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

Answer:

Yes, many times over.

Step-by-step explanation:

I'm sure there is a typo in the question.

640,000 mg = 0.64 kg

Answer: p=8h

Hope this helped

Step-by-step explanation:

Answer:

No real solution.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

[tex]n^{2}(-3) -8[/tex]

Step-by-step explanation:

So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.

This is what we have so far,

[tex]n^{2} \\[/tex] x -3 or [tex]n^{2}[/tex](-3)

The term decreased means to reduce or subtract. Which means we are left with....

[tex]n^{2}(-3) -8[/tex]

Hope that helps and have a great day!

Given :

Worth of new car , C = $28000 .

Depreciates in value of car , D = 9 % .

To Find :

Use the variable y to represent the value of the car after t years.

Solution :

Depreciation formula is given by :

[tex]y=C(1-\dfrac{D}{100})^t[/tex]

Putting all given values , we get :

[tex]y=C(1-\dfrac{D}{100})^t\\\\y=28000\times (1-\dfrac{9}{100})^t\\\\y=28000( \dfrac{91}{100})^t[/tex]

Therefore , the required equation is [tex]y=28000( \dfrac{91}{100})^t[/tex] .

Hence , this is the required solution .

Answer:

Step-by-step explanation:

B being midpoint of AC means:

BC = AB = 32

Answer:

57/99

Step-by-step explanation:

let's set up an equation:

x = 0.5757...

set up a second equation so the numbers after the decimal places are equal

100x = 57.5757...

subtract

100x = 57.5757...

- x = 0.5757

99x = 57

divide by 99

x = 57/99

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

We have,

Let x = 0.575757... (with 57 repeatings)

Multiplying x by 100,

100x = 57.575757...

Subtracting the original x from 100x,

100x - x = 57.575757... - 0.575757...

99x = 57

To obtain x, divide both sides by 99:

x = 57/99

Dividing both the numerator and denominator by 3,

x = (57/3) / (99/3)

x = 19/33

Therefore,

0.57 repeating can be expressed as the fraction 19/33 in simplest form.

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Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter