1.
Sandra and Cindy both invest $14,000 into savings
accounts that earn simple interest. If Sandra's account
earns 4.5% interest and Cindy's account earns 6%
interest, how much more interest will Cindy have earned
after 7 years?
Your answer

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

Answer:

[tex]\sf \dfrac{{x}^{a \: (b - c)} }{ {x}^{b \: (a - c)} } \: \div \: \bigg \lgroup \dfrac{ {x}^{b} }{ {x}^{a} } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

Now,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \bigg \lgroup \dfrac{ ({x}^{b} )}{( {x}^{a}) } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \dfrac{ {x}^{bc} }{{x}^{ac} } \: = \: 1[/tex]

[tex]\\[/tex]

We know that, When sign change from division to multiplication we should do reciprocal of next number.

Therefore we get,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \times \: \dfrac{ {x}^{ac} }{{x}^{bc} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: \cancel {ac }\: + \: \cancel{ac}} }{ {x}^{ba \: - \: \cancel{ b c} \: + \: \cancel{bc}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x} \: ^{ \cancel{ab}} }{ {x} \: ^{\cancel{ba}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex] \bigstar \: \: \underline{ \boxed{\sf x \: = \: 1}} \: \: \bigstar[/tex]

[tex]\\[/tex]

[tex] \huge\bf \dag \: \gray{RHS = LHS} \: \dag[/tex]

[tex]\\[/tex]

[tex]\large \star \: \tt Hence, Verified \: \star[/tex]

Answer:

4.) -3x² - 5x + 7

- 3 * -2 * -3 * -2

+6 * +6 - 5 * -2

36 - (+10)

36 - 10 = 26

5.) 3x² - 7y²

3 * x  X  3 * x - 7 * y X 7 * y

3 * 2 X 3 * 2 - 7 * 3 X 7 * 3

6 * 6 - 21 * 21

36 - 441 = -405

6.) 4(x - 2y)

   ________

       x + y

   4 * x - 4 * 2 X y

  _____________

    x + y

  4 * 4 - 4 * 2 X -2

 16 - (+16)

 16 - 16 = 0

7. π + x√3y

  22/7 + -3√15

                3094

                _____

  22/7 + -11

                5000

      2380

= -8 ______

      5000

Step-by-step explanation:

Please mark me as brainliest

Answer:

ratious and axuas

Step-by-step explanation:

Answer:

S & Q are points

R is a ray

SR & RQ are line segments

Step-by-step explanation:

Point D is the midpoint of points A and E for the given number line.

A number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given the number lines with labeled points as A, B, C, D, and E.

The midpoint of AE is the mean of AE

Mean of AE ;

(A + E )/ 2 = (- 6 + 8) / 2

2 / 2 = 1 which is point D

Therefore "D" will be the midpoint of A and E.

Hence "Point D is the midpoint of points A and E for the given number line".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ2

Answer:

12

Step-by-step explanation:

Answer:

(x+1)²=-1

Step-by-step explanation:

x²-7x=-9x-2

x²+2x+2=0

If you solved this using the quadratic formula, you’d end up with -1+i and -1-i.

but if you subtracted 1 from both sides, you’d have

x²+2x+1=-1

Which is:

(x+1)²=-1

Answer:

1325

Step-by-step explanation:

53 * 25 =

   Break it apart to solve without a calculator

5 * 25 = 125 and we add a 0 because it's 50 * 25 so 1250

now multiply 3 * 25 = 75

Add them

1250 + 75 = 1325

You can't simplify further.

Answer:

1325

Step-by-step explanation:

53 * 25 = 1325

That's as simple as you can get

Answer: it should be 20ft

Step-by-step explanation:

Answer:

−|9| = -9

−|−9| = -9

Step-by-step explanation:

−|9| = -9

|−9| = 9

−|−9| = -9

−(−9) = 9

Answer:

0.4 hope this helps

Step-by-step explanation:

Answer:

Well 40 percent is 2/5 as a fraction and 2/5 as a decimal is 0.4

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

π is a irrational number; therefore, π × 17 is also irrational number.

Answer:

Bionominal

Step-by-step explanation:

Question:

A ____ is a polynominal with two terms.

Answer:

A Bionominal is a polynominal with two terms.

Bionominal is your answer.

Hope this helps!

Answer:

$247.52

Step-by-step explanation:

36 x 26.32 = 947.52

947.52 - 700= 247.52

Answer: la respuesta es -57

Step-by-step explanation:

Answer:

-57 and sorry if wrong

Step-by-step explanation:

g (f(-3)) = -6 is your answer

Answer: -2

Step-by-step explanation: 2x/2 = -4/2

Answer:

{ -2 if x ∈ -4 < x < -3

{ -5 if x ∈ -3 ≤ x < 2

[ 5 if x ∈ 2 ≤ x < 5    

Step-by-step explanation:

From the graph, we have;

{ -2 if x ∈ -4 < x < -3

For the next inequality line at y = -5, we have;

1) The inequality line, starts with an open circle on the left at x = -3, which is equivalent to less than or equal to symbol, ≤ as -3 ≤ x because the point x =-3 is the left boundary.  The inequality line extends to the point x = 2, where we have a closed circle (on the right), which is equivalent to a x ≤ 2 with the 2 on the right hand side because, the 2 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = -3 extends to x = 2

3) As stated in point 1) the point x = 3, we have -3 ≤ x and at point x = 2, we have x ≤ 3 which can be combined as  -3 ≤ x < 2, to give;

{ -5 if x ∈ -3 ≤ x < 2

For the next inequality line at y = 5, we have;

1) The inequality line, starts with an open circle on the left at x = 2, which is equivalent to less than or equal to symbol, ≤ as 2 ≤ x because the point x =2 is the left boundary.  The inequality line extends to the right to reach point x = 5, where we have a closed circle (on the right), which is equivalent to a x ≤ 5 inequality, with the 5 on the right hand side because, the 5 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = 2 extends to x = 5

3) As stated in point 1) the point x = 2, we have 2 ≤ x and at point x = 5, we have x ≤ 5 which can be combined as  2 ≤ x < 5, to give;

[ 5 if x ∈ 2 ≤ x < 5.

Answer:

1st box = [-4, -3]

2nd box = (-3, 2]

3rd box = (2, 5]

For f(x) = -2 we see that x is between -4 to -3 with closed endpoints.

So the interval will be [-4, -3].

For f(x) = -5 we see that x is between -3 to 2 with closed endpoint at 2 and open endpoints at -3.

So the interval will be (-3, 2].

For f(x) = 5 we see that x is between 2 to 5 with open endpoint at 2 and closed endpoint at 5.

So the interval will be (2, 5].

Learn more: https://brainly.com/question/16236436

Answer:

I think one minute

Step-by-step explanation:

she can now complete 2 laps in one minute

A variable is a letter that represents another number or thing.

Steps to solve:

3x + 6 - x + 82 = 44

~Combine like terms

2x + 88 = 44

~Subtract 88 to both sides

2x = -44

~Divide 2 to both sides

x = -22

Best of Luck!

Answer:

b = 35

Step-by-step explanation:

[tex]\frac{b}{7} =5\\Multiply\: through\: by\: 7\\\\7(\frac{b}{7} ) =5\times 7\\\\b = 35[/tex]

Answer:

multiply both side of the equation by 7.

7 x b/7 = 7 x 5

cancel common factor of 7

b = 7 x 5

b = 35

Answer:

5y - 6 = (-16)/3

Step-by-step explanation:

1. Step:

Solve for y:

5 y + 2 = 8/3

Subtract 2 from both sides:

5 y + (2 - 2) = 8/3 - 2

2 - 2 = 0:

5 y = 8/3 - 2

Put 8/3 - 2 over the common denominator 3. 8/3 - 2 = 8/3 + (3 (-2))/3:

5 y = 8/3 - (2×3)/3

3 (-2) = -6:

5 y = 8/3 + (-6)/3

8/3 - 6/3 = (8 - 6)/3:

5 y = (8 - 6)/3

8 - 6 = 2:

5 y = 2/3

Divide both sides by 5:

y = (2/5)/3

3×5 = 15:

Answer:  y = 2/15

2. Step.

Evaluate 5 y - 6 where y = 2/15:

5 y - 6 = 5×2/15 - 6

5×2/15 = (5×2)/15:

(5×2)/15 - 6

5/15 = 5/(5×3) = 1/3:

2/3 - 6

Put 2/3 - 6 over the common denominator 3. 2/3 - 6 = 2/3 + (3 (-6))/3:

2/3 - (6×3)/3

3 (-6) = -18:

2/3 + (-18)/3

2/3 - 18/3 = (2 - 18)/3:

(2 - 18)/3

2 - 18 = -(18 - 2):

(-(18 - 2))/3

| 1 | 8

- | | 2

| 1 | 6:

Answer:  (-16)/3

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Answer:

upper bound = 112.5

lower bound = 111.5

Step-by-step explanation:

x = 360 - 59 - 108 - 81

x = 112°

upper bound =  112.5 < 113

lower bound = 111.5 < 112

so

L.B.           U.B.

111.5 < 112 < 112.5

Answer:

The first part/question sounds like a Division problem because theirs 18 guests and each slice feeds 6 people. Therefore, Laura orders 3 boxes of Pizzas. But make sure you try Photomath,V3, or Khan Academy apps before you write down the answer to the first question.

Answer:

388in or 202in

Step-by-step explanation:

I decided to connect three copies of this rectangle, all along the right side of the rectangle in the picture above.

When this is done the new length along the bottom and top become 45×4=180.

Now to find the perimeter, 180+180+14+14=388in

Other possibility

Connect the three copies along the top.

Now we need to do 14×4=56, which is the new side length.

Now to find the perimeter, 56+56+45+45=202in

the 3rd option

-8(x+13)=2(x-7)+4x

-8x - 104 = 2x - 14 + 4x

-8x - 104 = 2x + 4x - 14

-8x - 104 = 6x - 14