6. If Scott Hoff has a balance of $429.50 on a credit card that charges a finance charge computed at 2.5%, what is the
new balance? Round your answer to the nearest cent.
A $432.00
B $486.98
IC $440.24
D $455.35
HELP PLS WHATS THE SOLUTION

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1) 4x + 9 = 2x - 6

Subtract 9 from both sides

4x = 2x - 15

Subtract 2x from both sides

2x = -15

Divide both sides by 2:

x = -15/2 or -7.5

2) 2(x - 5) = 5x + 23

Expand the brackets:

2x - 10 = 5x + 23

Subtract 23 from both sides

2x - 33 = 5x

Subtract 2x from both sides

3x = -33

Divide both sides by 3

x = -11

3) 7x + 3 = 2x + 13

Minus 3 from both sides

7x = 2x + 10

Subtract 2x from both sides

5x = 10

Divide both sides by 5

x = 2

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Answer:

The least common multiple, but you can use the greatest common factor, but at the end you have to simplify for it to be correct. 1 3/30

Step-by-step explanation: 4/15+5/6

Change 15 into a 30 by multiplying 2 to both sides.

Change 6 into a 30 by multiplying 5 to both sides.

so the new fractions are 8/30+25/30=33/30

The final fraction is 1 3/30.

Answer:

AA

Step-by-step explanation:

AA is a triangle similarity postulate.

Answer: AA

Step-by-step explanation:

just got it right on the exam

Answer:

1085

Step-by-step explanation:

100 - 69 =31%

3500 /100 =35

35 x 31 = 1085

Answer: you would pay 1085

Answer:

The area of rectangle A is length x breadth

= 3x5

= 15 units^2

The area of square B is side x side

= 3x3

= 9 units^2

Therefore,

The area of the rectangle is not double of the area of the square because 9x2 is not equal to 15. Steven isn't correct.

Answer:

a) Steven is incorrect.

b) Steven is incorrect, because he claims that, in other words, 15 units squared = 18 units squared. 18 > 15, so the statement that 15 = 18 is false. 15 does not equal 18.

Step-by-step explanation: Steven claims that the area of rectangle A is double the area of square B. The area of rectangle A is 15 units squared, because you get a product of 15 when you multiply the side lengths 5 and 3. The area of square B is 9 units squared, because you get a product of 9 when you multiply the side lengths 3 and 3. In other words, Steven is claiming that the area of rectangle A is not 15 units squared, but 18 units squared (this is double the area of square B, as 18 is the product of 9 and 2), and that statement is false, because we know that 18 > 15. Therefore, 18 cannot equal 15; the figure that is made from the value of double the area of square B (18 units squared) is larger than rectangle A (15 units squared) - this reinforces the fact that 18 > 15, and hence cannot be equal to 15.

Answer:

1

Step-by-step explanation:

Firstly note that the graph is shifted up 2 units, as it starts at positive 2, when it should start at 0.

That only leaves choices 1 and 2

However, since we know its flipped, we can easily rule out number 2, as number 2 wouldn't be a real number(sqrt of negatives)

That leaves answer choice 1

The correct option is y = -[tex]\sqrt{x}[/tex] +2

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, the graph of y= √x is transformed as shown in the graph.

Firstly note that the graph is shifted up 2 units, as it starts at positive 2, when it should start at 0.

That only leaves choices 1 and 2

However, since we know it's flipped, we can easily rule out number 2, as number 2 wouldn't be a real number.

Hence, the correct option is y = -[tex]\sqrt{x}[/tex] +2

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Answer:

y = 4

Step-by-step explanation:

We have,

5x + 3y = 12 ....(1)

and

-5x + 4y = 16 ....(2)

Adding equation (1) and (2),

0 + 7y = 28

or

7y = 28

Dividing both sides by 7,

y = 4

So, the value of y = 4.

Answer:

15.5x+7=100

15.5x = 93

x=6 people

Answer:

6 people

Step-by-step explanation:

let x = amount of people Mr. Donovan brings

7 + 15.50x = 100

-7                 -7

15.50x = 93

/15.50      /15.50

x = 6

6 people

Answer:

the answer is F (-7,-1) and D(1,7)

Answer:

around 7.00 ft

Step-by-step explanation:

tan(35 degrees)=x/10

x/10=tan(35 degrees)

x=10*tan(35 degrees)

x=7.0020753821

x= around 7.00 ft

Answer:

(a)2,3,4,5,6,7,8,9,10,11 and 12.

(b)(1,4), (2,3), (3,2) and (4,1)

(c) [tex]\dfrac{1}{9}$ or 11.11\%[/tex]

Step-by-step explanation:

When two six-sided dice are rolled, the possible outcomes are:

[tex](1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\\(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\\(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\\(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\\(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\\(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)[/tex]

If Dominic can roll a total of five using the two dice, he will win the game.

(a) The possible sums Dominic can roll using the pair of dice is the sum

x+y where the for each outcome (x,y). These are:

[tex]2,3,4,5,6,7\\3,4,5,6,7,8\\4,5,6,7,8,9\\5,6,7,8,9,10\\6,7,8,9,10,11\\7,8,9,10,11,12[/tex]

The possible sums are 2,3,4,5,6,7,8,9,10,11 and 12.

(b) The outcomes that could win the game for Dominic are the outcomes which adds up to 5. These are:

(1,4), (2,3), (3,2) and (4,1)

(c)Probability that Dominic will win the game on this roll

Total Possible sums =36

Number of sums that add up to 5 =4

Therefore:

The probability that Dominic will win the game on this roll

[tex]=\dfrac{4}{36}\\=\dfrac{1}{9}\\ $Expressed as a percentage, we have$:\\\dfrac{1}{9} \times 100 =11.11\%[/tex]

Answer:

- 3/2            This matches Answer C

Step-by-step explanation:

The midpoint of the segment connecting (2,4) and (2,-7) is (2, y), where

       4 - 7

y = ---------- = - 3/2            This matches Answer C.

          2

Answer:

D,C

Step-by-step explanation:

The total number of bowls that the assistant help prepare is 192.

"A theorem based on the topic of proportions permits a faster way to carry out the calculations and cut down the count of expansions required. It is helpful in situations involving equations with fractions or rational functions."

Given ,

The chef can make 3 pots of soups.

And the assistant use = 1/16 cup on 1 cup of soup

Total number of serving in 1 cup is 16 soups

So, In 12 cups, total number of soup that can be prepared is 16*12 = 192.

Hence, the total number of bowl of soup can the assistant help prepare are 192.

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Answer:

448 ft^2

Step-by-step explanation:

The area of the walls is the perimeter of the room multiplied by the height.

P = 2(L + W)

P = 2(13 ft + 15 ft)

P = 2(28 ft)

P = 56 ft

A = perimeter * height

A = 56 ft * 8 ft

A = 448 ft^2

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

[tex]\sqrt[5]{x^4}[/tex] becomes [tex]x^4^/^5[/tex]

When you multiply 2 terms with the same base, you add the exponents.

[tex]x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5[/tex]

[tex]x^8^/^5[/tex] is also the same as [tex]x\sqrt[5]{x^3}[/tex]

You get this because [tex]\sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}[/tex]. When you pull out 5 os x, you are left with x³ on the inside.

Answer:

The answer is 10/143

Step-by-step explanation:

Answer:

10/143

Step-by-step explanation:

Answer:

The probability that a coin flip is a head or a tail is 0.5. The probability that a coin flip is either a head or a tail is 1. The probability that a three-coin-flip is two heads and a head or a tail is 0.25.

Step-by-step explanation:

Answer:

B. Figure B

Step-by-step explanation:

We have the phrase "If it is not warm, then it is not hot".

Chronologically and logically, it has to not be warm in order to not be hot. "Not warm" will have to encompass "not hot". Therefore, choice B is correct as the diagram shows "not warm" encompassing "not hot".

Answer:

Figure A

Step-by-step explanation:

Ap*x

Answer:

The first one "La Piña" isn't red.

Answer:

the answer is A

Answer:

D

Step-by-step explanation:

D is the equation in the question but in radical form.

Answer:

Step-by-step explanation:

[tex]xy^{\frac{2}{9} } \\use - indices-rule : x^{\frac{1}{2} } = \sqrt{x} ^{1} \\\sqrt{xy} ^{9}[/tex]

Answer:

The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000

Step-by-step explanation:

Let x be the hotel charge without tax in first city

We are given that The hotel charge before tax in the second city was $1500 lower than in the first.

So, Hotel  charge without tax in second city =x-1500

Tax% in first city = 10%

So, tax in first city = 0.1x

Tax% in second city =5%

So, tax in second city = 0.05(x-1500)

We are given that The total hotel tax paid for the two cities was $600.

So,0.1x+0.05(x-1500)=600

0.1x+0.05x+75=600

0.15x=600-75

[tex]x=\frac{600-75}{0.15}[/tex]

x=3500

Hotel charge without tax in first city = $3500

The hotel charge before tax in the second city =x-1500=3500-1500=2000

Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000

Answer:

B. $185,600

Step-by-step explanation:

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $232,000

Now, we need to find finance amount from this hone value of $232,000

Let's calculate the 80% of $232,000 as finance amount;

Finance amount = 80% of 232000

Finance amount  = 0.80 x 232000

Finance amount = 185,600

Answer:

51.984

Step-by-step explanation:

45.6*1.14

Answer: 2.5%

Step-by-step explanation:

Let's use the rule of 3 here.

If the total price is $275,000 or 100% of the sale, then $6,875 is X% of the total sale.

Let's put money on one side and percentages on the other.

[tex]\frac{275000}{6875}=\frac{100}{x}[/tex]

Solve for x;

[tex]x=\frac{6875*100}{275000}[/tex]

[tex]x=2.5[/tex]

The Percent commission Miguel earn is 2.5%.

Given:

Miguel sells a house = $275,000

His commission for the sale =$6,875.

Step 1:

Let's use the rule of 3 here.

If the total price is $275,000 or 100% of the sale,

then $6,875 is X% of the total sale.

Step 2:

Let's put money on one side and percentages on the other

=275000/6875

= 100/x

Solve for x;

x = 6875×100/275000

x = 2.5

Therefore, Percent commission did Miguel earn is 2.5%.

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Answer:

B.

Step-by-step explanation:

(x-1)2+(y+2)2=4.

because the equation is shown in the graph

the equation of the circle with a center at (-1, 2) and a radius of 2 is:

(x + 1)² + (y - 2)² = 4

From graph er can see that center of circle is (-1,2) and radius is 2

The equation of a circle with its center at point (h, k) and radius r is given by:

(x - h)² + (y - k)² = r²

In this case, the center of the circle is (-1, 2), and the radius is 2. Plugging these values into the equation, we have:

(x - (-1))² + (y - 2)² = 2²

Simplifying further:

(x + 1)² + (y - 2)² = 4

Expanding the square terms:

x² + 2x + 1 + y² - 4y + 4 = 4

Combining like terms:

x² + y² + 2x - 4y + 1 + 4 - 4 = 0

Simplifying:

x² + y² + 2x - 4y + 1 = 0

Therefore, the equation of the circle with a center at (-1, 2) and a radius of 2 is:

(x + 1)² + (y - 2)² = 4

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Answer:

x = 24

Step-by-step explanation:

27 x 4 = 108

18 x 3 = 54

9 x 2 = 18

108 - 54 + 18 = 3x

72 = 3x

72/3 = x

24 = x

there is no real solutions.