X over 4 greater than or equal to negative 8​

Norma's credit card balance at the end of the 7th month is $1,487.22.

Calculate the interest for each month.

Interest = (Previous month's balance * APR) / 12

Calculate the new balance for each month.

New balance = Previous month's balance + Purchases + Interest - Payments

Here's the calculation for each month:

Month 1:

Interest: 0 (No interest on the first month)

Balance: $500 + $0 = $500

Month 2:

Interest: ($500 * 0.16) / 12 = $6.67

Balance: $500 + $200 + $6.67 - $10 = $696.67

Month 3:

Interest: ($696.67 * 0.16) / 12 = $9.29

Balance: $696.67 + $300 + $9.29 - $20 = $986.29

Month 4:

Interest: ($986.29 * 0.16) / 12 = $13.15

Balance: $986.29 + $100 + $13.15 - $20 = $1079.44

Month 5:

Interest: ($1079.44 * 0.16) / 12 = $14.39

Balance: $1079.44 + $150 + $14.39 - $10 = $1233.83

Month 6:

Interest: ($1233.83 * 0.16) / 12 = $16.45

Balance: $1233.83 + $0 + $16.45 - $15 = $1235.28

Month 7:

Interest: ($1235.28 * 0.16) / 12 = $16.47

After all the computations, taking into consideration the amount spent and paid earlier,

Norma's credit card balance at the end of the 7th month has amounted to $1,487.22.

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Norma's credit card has an APR of 16%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. Her credit card record for the last 7 months is shown in the table below.

Month Purchases Payments

1 $500 $0

2 $200 $10

3 $300 $20

4 $100 $20

5 $150 $10

6 $0 $15

7 $250 $15

Calculate Norma's credit card balance at the end of the 7th month.

Answer: 389.46

Step-by-step explanation:

Add all payments received.

trust

The answer would be "-3/8 + -1/10."

Simplify means to reduce so in this case we aren't solving the question we are reducing it into simpler terms.

[tex]-\frac{3}{8} -\frac{1}{10}[/tex]

According to the rules of KCC (Keep Change Change) you would have to turn the subtraction sign into a addition sign and make the positive 1/10 into a negative.

[tex]-\frac{3}{8} +-\frac{1}{10}[/tex]

The equation cannot be reduce no further therefore that would be your answer.

Hope this helps.

The surface area of a sphere with a radius of 9 units is given by the formula 4 (pi) (r)2, resulting in an area of 324 (pi) square units, or approximately 1017.88 square units when using 3.14159 for (pi).

Calculating the Surface Area of a Sphere

To find the surface area of a sphere, you will need to use the formula: surface area = 4 (pi) (r)2, where r is the radius of the sphere. For a sphere with a radius of 9 units, you would calculate the surface area as follows:

Surface Area = 4 (pi) (92)

Surface Area = 4 (pi) (81)

Surface Area = 324 (pi)

So, the surface area of the sphere is 324 (pi) square units. If you use the approximate value of (pi) = 3.14159, then the surface area would approximately be 1017.88 square units.

hm

Step-by-step explanation:

I'd go with associative because its re grouping

Answer:

Step-by-step explanation:

the property is : a+b= b+a    comutative for +

Answer:

D

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(2, 2) and (x₂, y₂ ) = D(- 1, 8)

CD = [tex]\sqrt{(-1-2)^2+(8-2)^2}[/tex]

     = [tex]\sqrt{(-3)^2+6^2}[/tex]

     = [tex]\sqrt{9+36}[/tex] = [tex]\sqrt{45}[/tex] ≈ 6.7 → D

Answer:

31

93

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

y = 3x

y - x = 62

3x - x = 62

2x = 62

2x/2 = 62/2

x = 31

y = 3x

y = 3*31

y = 93

Final answer:

To find two positive numbers where one is 3 times the other and their difference is 62, let one number be x, then solve the equation 3x - x = 62 to find the numbers 31 and 93.

Explanation:

To find the numbers:

Let one number be x, then the other number is 3x.

Form an equation: 3x - x = 62.

Solve for x: 2x = 62, x = 31.

So, the two numbers are 31 and 93.

In order to get the answer to this question you will have to figure out how much 120 US dollars gets you in Canadian dollars.

[tex]120=158.36[/tex]

[tex]158.36-20=138.36[/tex]

[tex]138.36=104.87[/tex]

[tex]=104.87[/tex]

Therefore your answer is "104.87."

Hope this helps.

Answer:

130

Step-by-step explanation:

the answer is $130 because I really need points to ask a question, I recommend googling the question or googling the currency

Hey!

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Solution:

2x + 9 = 35

2x + 9 - 9 = 35 - 9

2x = 26

2x/2 = 26/2

x = 13

---------------------------

Answer:

x = 13

---------------------------

Hope This Helped! Good Luck!

Answer:

x = 13

Step-by-step explanation:

Given

2x + 9 = 35 ( isolate 2x by subtracting 9 from both sides )

2x = 26 ( divide both sides by 2 )

x = 13

Answer:

14

Step-by-step explanation:

Substitute the given values for a and b into the expression and evaluate

a + b = 43 + (- 29) = 43 - 29 = 14

Answer:

Step-by-step explanation:

a + b = 43 +(-29) =43-29 = 14

Answer:

17

Step-by-step explanation:

anything in absolute value brackets is going to be positive. Absolute value is the distance of that specific number on the number line from 0. so ex: -3 is 3 units away from 0 so therefore, the answer is 3.

Answer:

9+x< -17

(make sure there's a line under the less than sign to make it work to)

Step-by-step explanation:

the product of 9 and x describes an addition problem, so it would be 9+x. after you put the less then or equal to sign and then -17.

Hope this helps

To solve the inequality 9x ≤ -17, divide both sides by 9 to find x ≤ -17/9, meaning x can be any value less than or equal to approximately -1.888.

The student's question pertains to an inequality in mathematics involving a variable x and requires an understanding of algebraic inequalities. To solve the inequality 9x ≤ -17, we need to isolate the variable x. We can do this by dividing both sides of the inequality by 9, which gives us x ≤ -17/9. It is important to note that dividing by a positive number does not change the direction of the inequality sign.

The value of x must satisfy this inequality, so any number less than or equal to -17/9 is a solution to the inequality. That means x could be -2, -3, or any other value that is less than or equal to approximately -1.888... (since -17/9 is a decimal approximation of -1.888...).

44 + 37 + x = 180

x + 81 = 180

x = 180 - 81

x = 99

n + 99 = 180

n = 180 - 99

n = 81

Answer:

There are no figures below...

Step-by-step explanation:

Answer:

78.54 [tex]m^3[/tex]

Step-by-step explanation:

Use the formula for the volume of a cone of circular base with radius "R" and height "H", using the given values for the radius R (5 meters), and the cone's height (3 meters)

[tex]Volume= \pi R^2 \frac{H}{3} \\Volume = \pi 5^2 \frac{3}{3} m^3 = 78.539816....  m^3[/tex]

And we round the answer to two decimals:

Volume = 78.54 [tex]m^3[/tex]

Answer:

a= 7

b=9

c=4

Step-by-step explanation:

Answer:

a= 7

b=9

c=4

Step-by-step explanation:

lol

Answer:

Well, there are x amounts of white flower and 6 cups of wheat flower.

So the total flower is x + 6

Given that  is the total, the equation you would use is:

y=x+6

The constraints are as follows:

y can only be > 6

And if y=0, x would have to be -6 (which is impossible) 

Answer:

D) y=x+6; x is any real number greater than or equal to 0, and y is any real number greater than or equal to 6.

Step-by-step explanation:

Got it right on my test

Answer:

Step-by-step explanation:

18=2×3×3

48=2×2×2×2×3

G.C.F.=2×3=6

18+48=66

6×11=66

The three linear  equations that represent the line perpendicular to the line 5x - 2y = -6 and passing through the point (5, -4) are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).

Firstly, to find a line perpendicular to another line, we need to find the negative reciprocal of the slope of the original line. The equation 5x - 2y = -6 can be rewritten in slope-intercept form (y = mx + b) as y = 2.5x + 3, so its slope is 2.5. The negative reciprocal of 2.5 is -2/5. Therefore, the slope of the line we are looking for is -2/5.

Secondly, a line passes through a given point (5, -4), so we can use the point-slope form of the equation, which is y - y1 = m(x - x1). By substituting the values, we get y - (-4) = -2/5 * (x - 5), which simplifies to y + 4 = -2/5 * (x - 5).

Lastly, to find other representations of the same line, the standard form of a linear equation is Ax + By = C. Converting y + 4 = -2/5 * (x - 5) to standard form gives us 2x + 5y = -10. So, the three equations that represent the line are: y = -2/5x - 2, 2x + 5y = -10, and y + 4 = -2/5 * (x - 5).

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The slope is the change in Y over the change in X.

A point is written as ( X,Y), where the first number is the X and the second number is the Y.

You have:

(5,3) and (5,-9)

The change in Y is  -9 - 3 = -12

The change in X is 5-5 = 0

The slope becomes -12/0

Because you have a 0 on the bottom of the fraction the slope is undefined because you cannot divide by 0.

The slope is undefined.

Answer:

-74.069, -74.69, 74.59, 74.6

Step-by-step explanation:

negative numbers are smaller than positives

Answer:

-74.69, -74.069, 74.59, 74.6

Step-by-step explanation:

Answer:

The slope is 1

Step-by-step explanation:

Slope is change in y over change in x.

You have point (1,2) and point (0,1)

change in y = 2-1 = 1

change in x = 1-0 = 1

change in y over change in x  = 1/1 = 1

Answer:

5, 11, 17, 23, 29

Step-by-step explanation:

5+6=11+6=17+6=23+6=29

Answer:

-22/3

Step-by-step explanation:

Multiply the whole number by the denominator, and then add the numerator to get the improper fraction.

Answer:

at first we should simplify each equation by find its roots

(x^2+5x+6) =

(x+2) (x+3)

(x^2-x-6)=

(x-3) (x+2)

sox^2+5x+6÷x^2-x-6=

(x+2)(x+3)÷(x-3)(x+2)=

A(x+3) ÷(x-3)

Answer:

x+3/x-3

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

21 + 4 = 25

25 × 2 = 50

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The original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).

To find the image point after translating the point (-6, -9) left 1 unit and down 5 units, we subtract the translation values from the coordinates of the original point.

For the horizontal translation (left 1 unit), we subtract 1 from the x-coordinate:

New x-coordinate = -6 - 1 = -7

For the vertical translation (down 5 units), we subtract 5 from the y-coordinate:

New y-coordinate = -9 - 5 = -14

Therefore, the image point after the translation is (-7, -14).

This means that the original point (-6, -9) is shifted 1 unit to the left and 5 units down to reach the new position (-7, -14).

This translation is a geometric operation commonly used in mathematics and computer graphics to move objects or points in a coordinate plane.

[tex]\bf y+2=\cfrac{1}{3}(x-6)\implies y+2=\cfrac{1}{3}x-2 \\\\\\ y=\cfrac{1}{3}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

Answer:

[tex]y = \frac{1}{3} x - 4[/tex]

Step-by-step explanation:

Given equation :-

[tex]y + 2 = \frac{1}{3} (x - 6)[/tex]

• Slope intercept form is

y = mx + c

where , m is slope of the straight line

and c is y intercept of the line !

Solving and simplifying the given equation ,

[tex]3y + 6 = x - 6 \\ \\ 3y = x - 6 - 6 \\ \\ 3y = x - 12[/tex]

[tex]y = \frac{1}{3} x - \frac{12}{3 } \\ \\ y = \frac{1}{3} x - 4[/tex]

So, m = 1/3 and c = ( -4 )

hence , the required slope intercept form of the equation is

[tex]y = \frac{1}{3} x - 4[/tex]

The answer is  f(x)=5(x+8)-80f ( x ) = 5 ( x + 8 ) − 80