Customers at the palace pro shop receive a 10% discount if they are members. all customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. the function g(x)=1.07x is used to determine the total amount customers Pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with regular price of x dollars?

Answer:

The total amount is 1214.4

Step-by-step explanation:

Given

principal p=$1200

interest rate r= 12%= 12/100= 0.12

time t= 1

n= 12

we know that the compound interest formula is

A=p(1+r/n )^nt

A=1200(1+0.12/12)^1*12

A=1200(1+0.01)^12

A=1200(1.001)^12

A=1200*1.012

A=1214.

Answer:

Correct answers:

$2928$

Step-by-step explanation:

$2928$

We express the interest r in decimal form, so we have r=12%=12100=0.12. The principal is P0=$1,200, so the interest is I=P0⋅r⋅t=$1,200⋅0.12⋅12=$1,728. The interest paid is $1,728, so the total amount repayable is $1,200+$1,728=$2,928.

Answer:

(х-4)(х-6)

Step-by-step explanation:

х¹= 4

х²=6

easy

Answer:

(x - 12)(x + 2)

Step-by-step explanation:

Given

x² - 10x - 24

Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)

The factors are - 12 and + 2 , since

- 12 × + 2 = - 24 and - 12 + 2 = - 10 , thus

x² - 10x - 24 = (x - 12)(x + 2) ← in factored form

Answer:

Step-by-step explanation:

x + 2y = 7   ⇒  x = 7 - 2y

- 2x + 3y = 14

- 2(7 - 2y) + 3y = 14

-14 + 4y + 3y = 14

-14 +7y +14 = 14 +14

   7y = 28

     y = 4

x = 7 - 2y = 7-2(4) = 7 - 8 = -1

answer: 68

work:

all you basically do is just divide 272 by 4

If Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed

A division is a process of splitting a specific amount into equal parts.

Given that Ralph drove 272 miles in 4 hours

We need to find his average speed

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time

Speed=Distance/ Time

Average speed=272/4

=68 miles per hour

Hence, if Ralph drove 272 miles in 4 hours then 68 miles per hour is the average speed

To learn more on Division click:

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Answer:

[tex]=-1\frac{5}{9}[/tex]

Step-by-step explanation:

We want to write:

[tex]-1.\bar{5}[/tex]

As a mixed number in the simplest form.

We can use the following algebraic trick. First, we can ignore the negative and add it on the very end. So, we have the number:

[tex]1.55555...[/tex]

Let's let this equal to n. So:

[tex]1.55555...=n[/tex]

Now, we will multiply n by 10^x for the number of repeating digits x.

There is only one digit repeating (the 5). So, we will multiply both sides by 10^1 or just 10. This yields:

[tex]15.55555...=10n[/tex]

Now, we will subtract n from both sides. This yields:

[tex]15.5555...-n=10n-n[/tex]

On the right, we will just get 9n.

However, let's replace n with 1.5555... on the left. This yields:

[tex]15.5555...-1.5555...=9n[/tex]

All of the repeatings 5s will cancel. 15-1 is 14. So:

[tex]14=9n[/tex]

Now, divide both sides by 9. So, our n is:

[tex]n=\frac{14}{9}[/tex]

And since we originally set n to be 1.5 repeating, this is equivalent to:

[tex]n=1.\bar{5}=\frac{14}{9}[/tex]

And now, we can add back the negative:

[tex]-1.\bar{5}=-\frac{14}{9}[/tex]

We can rewrite this as:

[tex]=-(\frac{9}{9}+\frac{5}{9})[/tex]

So, as a mixed fraction, our decimal is:

[tex]=-1\frac{5}{9}[/tex]

And we're done!

Answer:

[tex]A=5024\ cm^2[/tex]

Step-by-step explanation:

Father will make an ornamental fish pond. The pool is circular with a diameter of 80 cm, the area of ​​land needed to make a pool is ??

The diameter of a circular pool, d = 80 cm

It means that,

Radius, r = d/2

r = 40 cm

We need to find the area of the land needed to make a pool. The area of a circular path is given by :

[tex]A=\pi r^2[/tex]

Put the values in the above formula.

[tex]A=3.14\times (40)^2\\\\A=5024\ cm^2[/tex]

So, it will require [tex]5024\ cm^2[/tex] area of land to make a pool.

Answer:

g=-8

Step-by-step explanation:

Answer:

A

B

C

Step-by-step explanation:

A

11=4(7)-17

11=28-17

11=11

B

-13=4(1)-17

-13=4-17

-13=-13

C

-1=4(4)-17

-1=16-17

-1=-1

Answer:

x = 2

Step-by-step explanation:

To start, you want to isolate x.

To do so, get all the x terms to one side.

2x + 1 = 4x - 3

Subtract -4x on both sides.

-2x + 1 = -3

Then, subtract 1 on both sides.

-2x = -4

Finally, divide -2 on both sides.

x = 2

Answer:

The answer is negative one half. If I am wrong let me know because the picture is a little hard to read.

Step-by-step explanation: To find the slope, you look at the Y axis and see where the line crosses perfectly(or goes through) the Y axis first. Then, you look at the x axis and see where the line crosses perfectly on the x axis. For example, the line crosses the Y axis at negative, and the line crosses the X axis at positive 2.  The vertical line is the y axis and the horizontal line is the x axis.

Answer:

11 ft =132in

Step-by-step explanation:

first u multiply the length value which is 12

11 x 12 = 132

Answer:

10101010.10051050010010

Step-by-step explanation:

Answer:

2/20 or 1/10

Step-by-step explanation: i hope this helps.

Answer:

y = 5x + 3 I just learned this 2 years ago.

Explanation: The y intercept is the beginning of the equation and I'm sure you know y = mx + b, so you take the slope (5) and add x to it, because that is the slope, and add 3 to it because that is y intercept.

Hope it helped!

Please mark brainliest!

Answer:

x = 32

Step-by-step explanation:

So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:

x + 98 + 50 = 180

Now we solve for x. Subtract 50 from both sides.

x + 98 = 130

Subtract 98 from both sides.

x = 32

So the value of x is 32.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

first one is 135xy^2-30xy

the second one is 4x^3(x^2-2x-1)

Step-by-step explanation:

You can't simplify it any more than it is right now.

Step-by-step explanation:

the answer is x is equal to36

Answer:

1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation:

Just make sure the sign is adding and the w and p are in the right spots

Answer: 1. 5p+2w=$7.75

3p+4w=$10.95

Step-by-step explanation: did the test n got it correct, hope this helped :)

Answer:

C

Step-by-step explanation:

Dialation because when a shape is made bigger it cannot be mapped back on its self correctly

Answer:

They don't form a triangle because all triangles degrees have to add up to 180 if you add them all up its 190 so no they don't form a triangle.

Step-by-step explanation:

84+75+31=190

Answer:

[tex]g^{-1}(x)=1+10^{x/2}[/tex]

Step-by-step explanation:

Inverse Function

Let's call:

[tex]y=2 log(x-1)[/tex]

Divide by 2:

[tex]y/2=log(x-1)[/tex]

Assuming the base of the log is 10, apply exponential base 10:

[tex]10^{y/2}=x-1[/tex]

Solving for x:

[tex]x=1+10^{y/2}[/tex]

Swap variables:

[tex]y=1+10^{x/2}[/tex]

Calling this function the inverse:

[tex]\boxed{g^{-1}(x)=1+10^{x/2}}[/tex]

Answer:

20

Step-by-step explanation:

4/4=1

4x5=20

20 1/4ths in 5 wholes

Answer:

20 fourths

Step-by-step explanation:

1 whole has 4 fourths.

5 wholes has 5 x 4 = 20 fourths.

Hope this helps.

-5/2 is the slope of thosr points

Answer:

r = 25 yds

Step-by-step explanation:

The diameter is twice the radius, so the radius is 1/2 of the diameter

r = 1/2 d

r = 1/2 ( 50 yds)

r = 25 yds

answer: r=25yd

Hope this helps!

Answer:

b.

Step-by-step explanation:

an independent variable is something that you can change or control

Answer:

1. Intercept

2. a. Zeros b. x-intercept

3. a. The vertical asymptote b. x-intercept c. Zero

4. a. The y-intercept  b. y-intercept  c. x = 0

5. Asymptote

6. Vertical asymptote

7. The existence or location of an horizontal asymptote

Step-by-step explanation:

The vertical asymptote is the vertical line to which the y-axis increases infinitely as it approaches the line.

Answer:

Step-by-step explanation:

1. 2/3

2. 0.67

3. 70%

4. 0.8