MATHEMATICS HIGH SCHOOL

The minimum monthly payment for Alicia's credit card is 2% of her balance or $10, whichever is higher. If Alicia's balance at the end of her last billing cycle was $470, what is her minimum monthly payment?

Answers

Answer 1

Answer:

Answer:

Alicia's minimum monthly payment is $10.

Step-by-step explanation:

Given is :

Alicia's balance at the end of her last billing cycle was $470. So, its 2 % becomes:

$(2)/(100) *470$ = $9.40

As it is stated that the minimum monthly payment for Alicia's credit card is 2% of her balance or $10, whichever is higher.

Therefore, $10 is higher amount than $9.40

So, the correct answer is: Alicia's minimum monthly payment is $10.

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Point W (-4,7) was translated as follows:W(-4,7) W (-2,4). A student wrote the algebraic rule to describe the translation as (x,y)(x-3,y+2) evaluate the student's answer

Answers

The student's answer is wrong. This is because when the translation was done from (-4,7) to (-2,4), a value of 2 was added to x and 3 was subtracted from 7. Therefore, the translation should have been: (x,y)(x+2,y-3).

Answer with explanation:

It is given that, point W (-4, 7) is translated to W'(-2,4).

The Student Wrote this translation rule as:

(x,y)→(x-3, y+2)

So,if we apply the translation rule in W ,then

W(-4,7)→W'(-4 -3, 7 +2)=W'(-7, 9)

We are not getting the original coordinates of point after applying this translation rule.

So,the translation rule that student wrote is incorrect.

So,the translation rule should be ,

(x,y)→(x+2,y-3)

that is , W(-4,7)→W'(-4+2,7-3)=W'(-2,4)

Choose the correct simplification of x to the 3rd power over y to the 5th power all raised to the 2nd power.x to the 5th power over y to the 7th power
x over y to the 3rd power
x to the 6th power over y to the 10th power
x6y10

Answers

Answer:

Option 3 - x to the 6th power over y to the 10th power

Step-by-step explanation:

Given : Expression x to the 3rd power over y to the 5th power all raised to the 2nd power.

To find : Choose the correct simplification of the expression?

Solution :

Writing the expression in value form,

x to the 3rd power = $x^3$

y to the 5th power= $y^5$

x to the 3rd power over y to the 5th power all raised to the 2nd power =

$((x^3)/(y^5))^2$

Now applying identity,

$((x)/(y))^a=(x^a)/(y^a)$

$=((x^3)/(y^5))^2$

$=((x^3)^2)/((y^5)^2)$

Using identity, $(x^a)^b=x^(a.b)$

$=(x^(3.2))/(y^(5.2))$

$=(x^(6))/(y^(10))$

In word form, x to the 6th power over y to the 10th power.

Therefore, Option 3 is correct.

$\left( \cfrac{x^3}{y^5} \right)^2=\cfrac{(x^3)^2}{(y^5)^2}=\cfrac{x^(3*2)}{y^(5*2)}=\cfrac{x^(6)}{y^(10)}$

On a coordinate plane, point F has coordinates of (1, -3) and point A has coordinates of (-4, -0.5).Point a is the midpoint of
What are the coordinates of the point B?

Answers

Step-by-step explanation:

mid point=(1+(-4),(-3+(-0.5)

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

2 2

.mid point =-³/2,3.5/2

What is the correct order of operations for simplifying the expression (x+3)^2-(x^2+9)/2x^2

Answers

Answer with explanation:

The correct order of simplifying the expression is:

1. Opening the bracket Using Identity

2. Adding and Subtracting Like terms

The given expression is

$=((x+3)^2-(x^2+9))/(2x^2)\n\n=(x^2+6 x+9-x^2-9)/(2x^2)\n\n=(6x)/(2x^2)\n\n=(3)/(x)\n\n \text{Used the identity and law of indices}\n\n(a+b)^2=a^2+2 a b+b^2\n\n (x^a)/(x^b)=x^(a-b)$

$((x+3)^2-(x^2+9))/(2x^2)\n\nuse\ (a+b)^2=a^2+2ab+b^2\n\n=(x^2+2\cdot x\cdot3+3^2-x^2-9)/(2x^2)=(x^2-x^2+6x+9-9)/(2x^2)\n\n=(6x)/(2x^2)=(3)/(x)$

Solve the following system of equations . Enter the y-coordinate of the solution . Round your answer to the nearest tenth. 5x+2y =7. -2x+6y=9

Answers

5x + 2y = 7
multiplying this equation by 2
10x + 4y = 14 ...(A)

-2x + 6y = 9
multiplying this equation by 5
-10x + 30y = 45 ... (B)

Add (A) and (B),
10x-10x + 4y +30y = 14+45

0 + 34y = 59

y = 59/34
y = 1.7

Select the correct answer. Gary throws a parachute toy from the roof of a building which has a height of 96 feet. The toy reaches its maximum height of 100 feet after 2 seconds, and it hits the ground after 12 seconds. Which of the following graphs represents the height of the toy?

Answers

Answer:

Step-by-step explanation:

The height needs to start at 96

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