A credit card company charges a customer $18 interest on a $90 purchase. What is the interest rate?

Final answer:

The profit function p(x) for selling x shirts is p(x) = 8x - 20, which is found by subtracting the cost function c(x) from the revenue function r(x).

Explanation:

Profit Function

To find the profit function p(x), we subtract the cost function c(x) from the revenue function r(x). Given that r(x) = 15x and c(x) = 7x + 20, the profit function is calculated as follows:

p(x) = r(x) - c(x)

p(x) = 15x - (7x + 20)

Simplifying the equation, we combine like terms:

p(x) = 15x - 7x - 20

p(x) = 8x - 20

Thus, the profit from selling x shirts is p(x) = 8x - 20.

Answer:

Step-by-step explanation:

1 and 2 are vertical angles

Answer: 39.6<39.61

Step-by-step explanation: 39.6 is equal to 39.60 and 60 is greater than 1.

Answer:

39.6 is less than 39.61

Step-by-step explanation:

3×6/8 reduce is 3× 3/4= 3/1×3/4=9/4 or 2 1/4

Final answer:

To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, simplify 6/8 to 3/4, and then express 3/4 in terms of the unit fraction 1/4 multiplied by 9, resulting in the expression 9 x 1/4.

Explanation:

To rewrite 3 x 6/8 as the product of a unit fraction and a whole number, we first look at the fraction 6/8. The fraction can be simplified by dividing both the numerator and the denominator by the common factor which is 2. This gives us the simplified fraction of 3/4. Now, a unit fraction is a fraction where the numerator is 1. To turn 3/4 into a unit fraction, we can multiply it by the whole number 3, because 3 x 3/4 equals 9/4. However, 9/4 is not a unit fraction. Therefore, to represent this expression as a product of a unit fraction and a whole number, we see that each 3/4 in the total of 3 times 3/4 can be expressed as 1 times the whole number 3, making the unit fraction 1/4. The correct expression would then be 9 x 1/4.

Simplify 6 - 25 to -19

18 + 3| -19 | - 11

Simplify | -19 | to 19

18 + 3 × 19 - 11

Simplify 3 × 19 to 57

18 + 57 - 11

Simplify

= 64

So Not A rational Number

I think :)

Good Luck:)))

Answer:

the asnwer will be 2,1

Step-by-step explanation:

The solution of the equations is (2,1)

Finding the point of intersection of equations by plotting on the graph paper is called solving by graphing method.

In the attached graph below,

The solution of the equations is (2,1)

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10  feet of string to make all the bracelets.

Answer:

y = x + x or y+mx+b

Step-by-step explanation:

The first shows the relation in many different problems. But the second is used more for graphs of proportional value. You can use both in either case. But the y=x+x you would substitute the x with real numbers according to the problem.

Answer:

7/5 time 7/8 is exactly: 2 11/40

Step-by-step explanation:

Hello.

First we need to multiply across.

7 x 7 is 49 so that's our top number.

49

----   5 x 8 is 40 so that would be our bottom number.

?

You would write it  [tex]\fbox{49/40}[/tex].

As a mixed number it would be [tex]\fbox{1 9/40}[/tex] Note that it is not 19 if you read it wrong.

Answer:

85/100

Step-by-step explanation:

When w is 5 both expressions have the same value 24.

When w is 10 both expressions have the same value 84.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Substitute w = 5

12 (w - 3)

= 12 (5 - 3)

= 12 x 2

= 24

And,

12w - 36

= 12 x 5  - 36

= 60 - 36

= 24

Now,

Substitute w = 10

12 (w - 3)

= 12 (10 - 3)

= 12 x 7

= 84

And,

12w - 36

= 12 x 10 - 36

= 120 - 36

= 84

Thus,

When w is 5 both expressions have the same value.

When w is 10 both expressions have the same value.

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When [tex]\( w = 10 \),[/tex]both expressions have a value of 84, and the expressions are indeed equivalent.

To determine if the two expressions [tex]\(12(w - 3)\) and \(12w - 36\)[/tex] are equivalent, we can evaluate both expressions for the given values of [tex]\(w\).[/tex]

When [tex]\(w = 5\),[/tex]we substitute [tex]\(5\)[/tex]into both expressions:

For the expression [tex]\(12(w - 3)\):[/tex]

[tex]\[12(5 - 3) = 12(2) = 24\][/tex]

For the expression [tex]\(12w - 36\):[/tex]

[tex]\[12(5) - 36 = 60 - 36 = 24\][/tex]

Both expressions evaluate to [tex]\(24\) when \(w = 5\).[/tex]

Now, let's evaluate both expressions when [tex]\(w = 10\):[/tex]

For the expression [tex]\(12(w - 3)\):[/tex]

[tex]\[12(10 - 3) = 12(7) = 84\][/tex]

For the expression [tex]\(12w - 36\):[/tex]

[tex]\[12(10) - 36 = 120 - 36 = 84\][/tex]

Since the values of both expressions are the same for [tex]\( w = 5 \) and \( w = 10 \),[/tex]we can conclude that the expressions are equivalent.

Step-by-step explanation:

The slope-intercept form can be obtained by solving for y.

8x-y=-6

-8x

-y=-8x-6

divide by negative 1 to turn y positive.

y=8x+6

Answer:

y=8x+6

Step-by-step explanation:

just took the prac. on edge

Answer:

[tex]\large\boxed{x^2+y^2+4x-2y+1=0}[/tex]

Step-by-step explanation:

The standard form of an equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

The general form of an equation of a circle:

[tex]x^2+y^2+Dx+Ey+F=0[/tex]

We have the center (-2, 1). Substitute to the equation in the standard form:

[tex](x-(-2))^2+(y-1)^2=r^2\\\\(x+2)^2+(y-1)^2=r^2[/tex]

Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:

[tex](-4+2)^2+(1-1)^2=r^2\\\\r^2=(-2)^2+0^2\\\\r^2=4[/tex]

Therefore we have the equation:

[tex](x+2)^2+(y-1)^2=4[/tex]

Convert to the general form.

Use [tex](a\pm b)^2=a^2\pm 2ab+b^2[/tex]

[tex](x+2)^2+(y-1)^2=4\\\\x^2+2(x)(2)+2^2+y^2-2(y)(1)+1^2=4\\\\x^2+4x+4+y^2-2y+1=4\qquad\text{subtract 4 from both sides}\\\\x^2+y^2+4x-2y+1=0[/tex]

[tex]\sqrt[3]{x^2y^2} = (x^2y^2)^{\frac 1 3} = x^{\frac 2 3}y ^{\frac 2 3}[/tex]

Answer:  [tex]\bold{x^{\frac{2}{3}}y^{\frac{2}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{x^2y^2}=\sqrt[3]{(xy)^2}=(xy)^{\frac{2}{3}}=x^{\frac{2}{3}}y^{\frac{2}{3}}[/tex]

31.6 because a^2+b^3=c^2

A=1 B=1 C=-4 , you look at the numbers in order ! X is always going to be a 1.

Final answer:

To find out how much will be in the account after 22 years with an annual interest rate of 8.25%, the compound interest formula [tex]A = P(1 + r/n)^{nt}[/tex] is used, resulting in approximately $21739.63.

Explanation:

To calculate how much money will be in the account after 22 years with an annual interest rate of 8.25%, we will use the compound interest formula:

[tex]A = P(1 + r/n)^{nt}[/tex]

Where:

A is the amount of money accumulated after n years, including interest.

P is the principal amount (the initial amount of money).

r is the annual interest rate (decimal).

n is the number of times that interest is compounded per year.

t is the time the money is invested for, in years.

In this case:

P = $4400

r = 8.25% or 0.0825

n = 1 (since it's compounded annually)

t = 22 years

We plug these values into the compound interest formula:

[tex]A = 4400(1 + 0.0825/1)^{1*22}[/tex]

After calculating:

[tex]A = 4400(1 + 0.0825)^{22}[/tex]

[tex]A = 4400(1.0825)^{22}[/tex]

A comes out to approximately $21739.63, which is the total amount in the account to the nearest cent after 22 years.

6/(1/3)= 18

6(3)=18

the answer would be c

Answer:

option C

18 Flowerpots

Step-by-step explanation:

6 ÷ 1/3

6 × 3/1 = 18/1 = 18

Answer:

C

Step-by-step explanation:

Let's break down the definitions.

diameter = a line across the circle that crosses the center

radius = a line from the center of the circle to any edge

chord = a line with both endpoints on the edge of the circle

arc = the outside part of the circle

Since this line has both endpoints on the edge of the circle and does not cross the center, the line is a chord.

Answer:

3/8

Step-by-step explanation:

another way of writing 1/2 is 4/8, so now it should be easy.  if you have 7/8 and sell 4/8 that leaves 3/8

Answer: 3/8

Step-by-step explanation:

Answer:

The correct one would be A

Step-by-step explanation:

Because 6/10 is equivalent to 3/5

The answer is the first one, or A.

The answer is b: 15 m, 20m, 25m

Answer:

45

Step-by-step explanation:

percent x whole = part

80%w = 36

.8w=36

divide .8 by both sides

w=45

Answer:

80

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact middle then the median is the average of the 2 values either side of the middle

Arrange the data in ascending order ( smallest to largest )

32, 77, 78, 82, 85, 87

There is no value exactly in the middle, use the average

median = [tex]\frac{78+82}{2}[/tex] = [tex]\frac{160}{2}[/tex] = 80

Answer:   [tex]b)\quad \dfrac{4x^6z^4}{9y^4}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{16x^{4}y^{-3}z^{4}}{36x^{-2}y^{1}z^0}\\\\\\=\dfrac{4(4)\cdot x^{4+2}\cdot y^{-3+3}\cdot z^{4}}{4(9)\cdot x^{-2+2}\cdot y^{1+3}\cdot 1}\\\\\\=\dfrac{4x^6z^4}{9y^4}[/tex]

Answer:

option B

4 a^4 /b

Step-by-step explanation:

Given in the question an expression

√(16 a^8 b^-2)

This expression can also be written as

√16 . √a^8 . √b^-2

Now as we know that

√16  = √4² = 4

√a^8 = √(a². a² . a² . a²)  =  √a².√ a².√ a².√ a²  =  a . a . a . a  =  a^4

√b^-2 = √1/b² = √1 ÷ √b² = 1 ÷ b = 1/b

Rearranging them

4 a^4 1/b = 4 a^4/b

The simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. therefore, option b. 4a^4/b is correct.

The given expression, √(16 a^8 b^-2), can be simplified as follows:

√(16 a^8 b^-2) = √16 * √(a^8) * √(b^-2)

Breaking it down:

√16 = √(4^2) = 4

√(a^8) = √(a^4 * a^4) = √(a^4) * √(a^4) = a^4 * a^4 = a^8

√(b^-2) = √(1/b^2) = 1/b

Now, rearranging these results:

4 * a^8 * (1/b) = 4a^8/b

So, the simplified form of √(16 a^8 b^-2) is indeed 4a^4/b, which is equivalent to the original expression. This simplified form retains the same meaning as the original expression.

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30 is the answer :))))