Gilbert Chan deposits $500.00 each month into a savings account with a 3.2% annual interest rate, compounded monthly. How much is the account after 4 months?

Answer:

125 ÷ 3 = ____

Jamie + 2 brothers = _____

Then divide __ by the number if toy cars. ( 125 )

The answer is D

This is because if for every $50 he saves $5, and he has saved a total of $500, you can set up a proportion to find out how much money he has saved at that point.

The proportion is as follows:

50/5 == 500/x

x is equivalent to the amount of money he has saved

You can cross multiply to get the following equation:

50x == 2500

To isolate x, you must divide both sides by 50, giving you an answer of:

x = 50

This is the same as option D

Final answer:

To solve b(x) = 8x when b(x) = -56, we set 8x = -56, divide both sides by 8, and get x = -7. No other solutions are necessary, as the given equations are not quadratic but linear.

Explanation:

The problem involves an equation b(x) = 8x and the value b(x) = -56. We need to set these equal to each other to find the value of x that satisfies both conditions. So we have the equation 8x = -56. To solve this, we divide both sides of the equation by 8, giving us x = -7.

To check for other potential solutions, let's consider that b in the quadratic equation ax² + bx + c = 0 may be set to zero. For our equation, b does not appear to be zero, but if it were, we could simplify the equation by factoring out an x.

If the equation were in the form ax² = -c, we could solve for x by taking the square root of -c/a after moving c to the other side and dividing by a. However, in our current problem, this is not necessary since we don't have a quadratic equation but a simple linear one.

Answer:

She'll receive $6.53.

Step-by-step explanation:

First add everything she purcahsed.

1.22 + 1.48 + 7.98 + 2.79 = 13.47

Then subtract that from how much she paid.

20 - 13.47 = 6.53

So 6 dollars and 53 cents.

Hello!

To find the total amount of change we need to combine the total cost of everything first and then subtract that from 20!

$ 1.22+ $ 1.48+ $ 7.98+$ 2.79 = $ 13.47

$ 20.00 - $ 13.47 = $ 6.53

The answer to question is that she will recieve $6.53 in change if she pays with a $20 bill. If you need anymore clarification feel free to ask! Hope this helps.

Answer:

Step-by-step explanation:

Answer:

16 lines of symmetry.

Step-by-step explanation:

D is your answer!

Hope this helps!!

Option D is correct, 16  lines of symmetry does a regular polygon with 16 sides have.

a polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.

It is perpendicular to the regular polygon's side it touches.

Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).

A regular polygon with 16 sides has a line of symmetry.

It has 16 lines of symmetry as well.

Hence, 16  lines of symmetry does a regular polygon with 16 sides have.

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You would have worked 6 hours as lifeguard and 8 hours as cashier.

8(14 - y) + 6y = 96

112 - 8y + 6y = 96

112 - 2y = 96

-2y = -16

y = -16/-2 = 8

You worked 8 hours as a cashier. since the total hours worked is 14 we know you worked as a lifeguard for 6 hours.

Answer:

17. Equation : [tex]y=-x-1[/tex]

18: Equation: [tex]y=\frac{1}{2}x+8[/tex]

19: Equation: [tex]y=3x-6[/tex]

20: Equation: [tex]y=\frac{1}{3}x-2[/tex]

Step-by-step explanation:

Using the Slope-Intercept Form for the following questions:

Equation of line: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

17. A(3, -4), [tex]y=-x+8[/tex]

First substitute the slope from the original line [tex]y=-x+8[/tex] (i.e. -1 in this case) into the equation of line.

[tex]y=(-1)x+b[/tex]        .....(1)

Now, substitute the given point A(3,-4) in the equation (1), we have;

[tex]-4=(-1)\cdot (3)+b[/tex]

[tex]-4=-3+b[/tex]

[tex]-4+3=b[/tex]

∴[tex]b=-1[/tex]

Substitute the value of b=-1 in the Slope-Intercept form i.e, [tex]y=-x+(-1)[/tex]

[tex]y=-x-1[/tex]

Therefore, the equation of the line passing through the given point that is parallel to the given line is, [tex]y=-x-1[/tex].

18. A(-6, 5) , [tex]y=\frac{1}{2}x -7[/tex]

First substitute the slope from the original line [tex]y=\frac{1}{2}x -7[/tex] (i.e.  [tex]\frac{1}{2}[/tex] in this case) into the equation of line.

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

Now, substitute the given point A(-6, 5) in the equation (1), we have;

[tex]5=\frac{1}{2} \cdot (-6)+b[/tex]

[tex]5=-3+b[/tex]

[tex]5+3=b[/tex]

∴[tex]b=8[/tex]

Substitute the value of b=8 in the Slope-Intercept form i.e, [tex]y=\frac{1}{2}x+8[/tex]

[tex]y=\frac{1}{2}x+8[/tex]

Therefore, the equation of the line passing through the given point that is parallel to the given line is, [tex]y=\frac{1}{2}x+8[/tex].

19. A(2,0), [tex]y=3x-5[/tex]

First substitute the slope from the original line [tex]y=3x-5[/tex] (i.e. 3 in this case) into the equation of line.

[tex]y=3x+b[/tex]       .....(1)

Now, substitute the given point A(2, 0) in the equation (1), we have;

[tex]0=3\cdot (2)+b[/tex]

[tex]0=6+b[/tex]

∴[tex]b=-6[/tex]

Substitute the value of b=-6 in the Slope-Intercept form i.e, [tex]y=3x+(-6)[/tex]

[tex]y=3x-6[/tex]

Therefore, the equation of the line passing through the given point that is parallel to the given line is, [tex]y=3x-6[/tex]

20. A(3, -1), [tex]y=\frac{1}{3}x+10[/tex]

First substitute the slope from the original line [tex]y=\frac{1}{3}x +10[/tex] (i.e.  [tex]\frac{1}{3}[/tex] in this case) into the equation of line.

[tex]y=\frac{1}{3} x+b[/tex]        .....(1)

Now, substitute the given point A(3, -1) in the equation (1), we have;

[tex]-1=\frac{1}{3} \cdot (3)+b[/tex]

[tex]-1=1+b[/tex]

[tex]-1-1=b[/tex]

∴[tex]b=-2[/tex]

Substitute the value of b=-2 in the Slope-Intercept form i.e, [tex]y=\frac{1}{3}x+(-2)[/tex]

[tex]y=\frac{1}{3}x-2[/tex]

Therefore, the equation of the line passing through the given point that is parallel to the given line is, [tex]y=\frac{1}{3}x-2[/tex].

To find out how much she earned per hour you want to divide.

$66.70/9.2 = $7.25

Susie earned $7.25 per hour.

Hope this Helps!!

Susie earns $7.25 per hour.

To determine how much Susie earns per hour, you need to divide her total earnings by the number of hours worked. Given that Susie earned $66.70 in 9.2 hours, you can calculate her hourly rate as follows:

Hourly Rate = Total Earnings / Hours Worked

Hourly Rate = $66.70 / 9.2 hours

Hourly Rate = $7.25 per hour (rounded to two decimal places)

Thus, Susie earns $7.25 per hour.

Compensation is the process of reformulating an addition, subtraction, multiplication, or division problem to one that can be computed more easily mentally.

We will use compensation to find the difference of 30,000 and 6985.

Since, we have to evaluate 30,000 - 6,985

Let us add '15' to 6985,

6,985 + 15 = 7,000

Let us add '15' to 30,000

30,000 + 15 = 30,015

Now, we have to subtract 30,015  and 7,000

= 30,015 - 7,000

= 23,015

Therefore, the difference of 6,985 from 30,000 is 23,015.

The strategy of compensation involves adjusting numbers to make calculations easier. In the case of finding the difference between 30000 and 6985, you would adjust 6985 to 7000, subtract it from 30000 to get 23000, then add back the 15 you added to 6985 at the beginning. The result is 23015.

In mathematics, compensation is a strategy where you adjust one of the numbers to make the equation easier to solve. Pivotally, you make the same adjustment to the other number so as not to change the overall result.

Let's use this strategy to find the difference between 30000 and 6985

So, through the use of compensation the difference between 30000 and 6985 is 23015.

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Hello there!

The answer should be the first option A.

16-(-11)

16+11

Answer⇒=27

10-17

10+-17

Answer⇒=-7

-15-(-12)

-15+12

Answer⇒=-3

-25-2

-25+-2

Answer⇒=-27

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

Option a, 16-(-11), is the expression that has a value of 27.

To find the expression that has a value of 27, we can evaluate each option:

Let's evaluate each expression to determine which one equals 27:

a. 16−(−11)

Applying the rule that subtracting a negative number is the same as adding its positive counterpart:

16+11=27

Therefore, a equals 27.

b. 10−17

Subtracting 17 from 10:

10−17=−7

This does not equal 27.

c. −15−(−12)

Similar to the first expression, subtracting a negative is the same as adding its positive counterpart:

−15+12=−3

This does not equal 27.

d.−25−2                                                                                                                                                                                                              Subtracting 2 from -25:

−25−2=−27

This does not equal 27.

Hence, after evaluating each expression, the correct choice that equals 27 is option a: 16−(−11)

Therefore, option a, 16-(-11), is the expression that has a value of 27.

Complete Question:                                                                                                                                                                                                

which expression has a value of 27.a.16-(-11)  b.10-17  c.-15-(-12)  d.-25-2

Answer:

[tex]P(x)=8x-150[/tex]

Step-by-step explanation:

Let

x-----> the number of shirts

we know that

The equation of the cost is equal to

[tex]C(x)=2x+150[/tex]

The equation of the sell is equal to

[tex]S(x)=10x[/tex]

The equation of the profit is equal to

[tex]P(x)=S(x)-C(x)[/tex]

substitute the values

[tex]P(x)=10x-(2x+150)=8x-150[/tex]

Answer:  The correct option is

(C) 9x.

Step-by-step explanation:  We are given to simplify the following expression :

[tex]E=(7x)-(-2x)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be using the following rule in simplifying the given expression :

[tex]a-(-b)=a+b.[/tex]

From expression (i), we get

[tex]E\\\\=(7x)-(-2x)\\\\=7x+2x\\\\=(7+2)x\\\\=9x.[/tex]

Thus, the required simplified form is 9x.

Option (C) is CORRECT.

By applying the distributive property of equality, the expression, (7x)- (-2x), is simplified as: C) 9x.

To simplify (7x) - (-2x), follow these steps:

Step 1: Distribute the negative sign in front of (-2x) by using "-" to multiply -2x to open up the parentheses:

(7x) + (2x) [distributive property of equality]

Step 2: Combine like terms {7x and 2x) by adding the coefficients of the x terms:

7x + 2x = 9x

The simplified expression is 9x.

So, the correct answer is therefore:

C) 9x

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Yes. All even numbers are composite. However digits - 2, 4, 6, and 8 - do not count, since a number must be greater than 9.

Yes all even numbers are composite because they have more than 1 factor

Final answer:

To calculate deductions and taxes for Pat Brown, the Social Security tax is $130.20, Medicare is $30.45, and the FIT at 15% is $315.00, resulting in a net pay of $1,624.35.

Explanation:

To calculate the deductions and taxes for employee Pat Brown, we must consider the tax rates presented. Pat has a gross pay of $2,100.

For Social Security tax, which is 6.2%, we calculate: $2,100 x 0.062 = $130.20

For Medicare tax, at 1.45%, we calculate: $2,100 x 0.0145 = $30.45

Assuming a federal income tax (FIT) rate of 15%, the FIT amount deducted would be: $2,100 x 0.15 = $315.00

Therefore, the net pay for Pat Brown is calculated by subtracting all the deductions from the gross pay: $2,100 - $130.20 - $30.45 - $315.00 = $1,624.35

Answer: length = 19 inches and width = 8 inches

Step-by-step explanation: To solve this problem, our first task is to set up variables.

Since the length of the rectangle is 5 inches less than 3 times its width, we can set up variables to represent this.

Variables

X ⇒ width

3x - 5 ⇒ length

To help set up our equation, I will draw a picture of the rectangle labeling the widths X and the lengths 3x - 5.

Going back to the original problem, the second sentence states that the perimeter of he rectangle is 54 inches. Remember that the perimeter is the distance around the rectangle.

Based on the picture I provided, our equation will read as followed.

X + X + (3x -5) + (3x - 5) = 54

8x - 10 = 54   ← simplify on the left side of the equation

     +10  +10   ← add 10 on both sides

8x = 64

÷8    ÷8

 X = 8

Therefore, the width of our rectangle is 8 inches and the length of our rectangle is (3 x 8) - 5 or 19.

The dimensions of the rectangle that has a perimeter of 42 cm are:

length = 12 cm

width = 9 cm

Recall:

The perimeter of a rectangle is given as:

Given the following:

Therefore:

[tex]2((x + 4) + (2x -7)) = 42[/tex]

[tex]2(x + 4 + 2x -7) = 42[/tex]

[tex]2(3x -3) = 42\\\\6x - 6 = 42\\\\[/tex]

[tex]6x - 6 + 6 = 42 + 6\\\\6x = 48\\[/tex]

[tex]x = 8[/tex]

Find the dimensions of the rectangle by plugging in the value of x

[tex]length = (x+4) = 8 + 4 = 12 $ cm\\\\width = (2x - 7) = 2(8) - 7 = 9 $ cm[/tex]

Therefore, the dimensions of the rectangle that has a perimeter of 42 cm are:

length = 12 cm

width = 9 cm

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Answer:

Step-by-step explanation:

x= base

one side= x-6

other side= 4+x

x+x-6+4+x = 43

3x=43+2

x=15 length of base

The length of base is 15 cm.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the base of triangle be x

Length of one side = x- 6

and, length of other side = x+ 4

Now, perimeter of triangle= 43 cm.

x+ x -6 +x +4= 43

3x -2 = 43

3x= 45

x=15

So, x= 15 cm

x-6 = 15- 6 = 9cm

x+ 4 = 15+ 4= 19cm

Hence, the length of base is 15 cm.

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Answer:

8f + 4g

Step-by-step explanation:

Distribute the 2 to all terms within the parenthesis

2(4f) = 8f

2(2g) = 4g

8f + 4g is your expression

~Senpai

Answer :

The profit at point (0,5) is, 400

The profit at point (1,12) is, 1010

The profit at point (4,10) is, 1000

Step-by-step explanation :

Coordinates : It is a set of values which show an exact position on a graph.

There are two variables or coordinates that are x-coordinate and y-coordinate.

As we are given that function:

[tex]P=50x+80y[/tex]

where,

P = profit

x and y are the coordinates.

(1) Now we have to calculate the profit at point (0,5).

[tex]P=50x+80y[/tex]

x = 0 and y = 5

[tex]P=50\times 0+80\times 5[/tex]

[tex]P=0+400[/tex]

[tex]P=400[/tex]

The profit at point (0,5) is, 400

(2) Now we have to calculate the profit at point (1,12).

[tex]P=50x+80y[/tex]

x = 1 and y = 12

[tex]P=50\times 1+80\times 12[/tex]

[tex]P=50+960[/tex]

[tex]P=1010[/tex]

The profit at point (1,12) is, 1010

(3) Now we have to calculate the profit at point (4,10).

[tex]P=50x+80y[/tex]

x = 4 and y = 10

[tex]P=50\times 4+80\times 10[/tex]

[tex]P=200+800[/tex]

[tex]P=1000[/tex]

The profit at point (4,10) is, 1000

Answer:

oh b this is a hard question

Step-by-step explanation:

i will answer it gimme a few mins to learn this things

Answer:

Options B and D are correct.

Step-by-step explanation:

The given equation is :

[tex]y= -16x^{2}+48x+64[/tex]

We can see that it is a quadratic equation.

Hence it is non linear.

The rate is dependent on x, so it does not have a constant rate of change  also.

We can check this :

At x= 0, y = 64

At x=1, y = [tex]-16+48+64=96[/tex]

Hence, the function does not have a constant rate of change.

So, the answer is :

Make the fractions equivalent.

1/3 ×2 = 2/6

Answer: 2/6

Answer:

Second Picture 3rd Picture 1st Picture

Step-by-step explanation:

You're welcome!

The y-intercept of the given exponential graph is 2

The given graph is an exponential function with a general form y = ab^x

This means that we need to find the equivalent value of f(x) when x = 0. From the table, we can see that the required equivalent y-intercept at when x = 0 is 2

Hence the y-intercept of the given graph is 2

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A=Lw

P=2L+2w

216=Lw

W=216/L...substitute to Perimeter equation

60=2L+2(216/L)

60L=2L^2 + 432

2L^2-60L+432=0

2(L^2 - 30L + 216)=0

2(L-18)(L-12)=0

L=12, W=18 or L=18, W=12

I suppose you want to solve the equation for m. To do so, multiply both sides by 8m to get

[tex] 3m = -1 [/tex]

Now divide both sides by 3 to get

[tex] m = -\dfrac{1}{3}[/tex]

m = - [tex]\frac{1}{3}[/tex]

multiply both sides by 8m to eliminate fractions

3m = - 1 ( divide both sides by 3 )

m = - [tex]\frac{1}{3}[/tex]

i think the answer is the first one

Answer:

The first one

Step-by-step explanation:

Hey!

Alright, according to P.E.M.D.A.S., the first step to solving this expression is to distribute.

Original Expression :

[tex]\displaystyle\ -8y^{3} (7y^{2} -4y-1)[/tex]

New Expression {Distributed Old Expression} :

[tex]\displaystyle\ -(56y^{5} -32y^{4} -8y^{3} )[/tex]

Now all you have to do is simplify the parenthesis.

Old Expression :

[tex]\displaystyle\ -(56y^{5} -32y^{4} -8y^{3} )[/tex]

New Expression {Simplified} :

[tex]\displaystyle\ -56y^{5} + 32y^{4} + 8y^{3}[/tex]

So, since the expression can no longer be simplified, the final answer is...

Hope this helps!

- Lindsey Frazier ♥

Solution :

Given expression [tex]-8y^{3}(7y^{2}-4y-1)[/tex]

To simplify this expression, first we need to know about the Distributive property.

Distributive Property: [tex]a\times(b+c+d)=(a\times b)+(a\times c)+(a\times d)[/tex]

Given expression [tex]-8y^{3}(7y^{2}-4y-1)[/tex]

Applying Distributive property on this expression:

[tex]\Rigtharrow -8y^{3}(7y^{2}-4y-1)=((-8y^{3})\times7y^{2})+((-8y^{3})\times(-4y))+((-8y^{3})\times(-1))[/tex]

                           [tex]= -56y^{5}+32y^{4}+8y^{3}[/tex]

Hence, the simplified form of the expression  [tex]-8y^{3}(7y^{2}-4y-1)[/tex] is  [tex]-56y^{5}+32y^{4}+8y^{3}[/tex].