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OLga [1]
3 years ago
7

PLEASE HELP! WILL GIVE BRAINLIEST

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

Answer:

1. $37.70 of interest

2. Jeans Junction

Step-by-step explanation:

1. For simple interest, we use the equation A=P(1+rt) where

  • P is the principle or starting value
  • A is the total amount after interest and a period of time
  • r is the rate at which interest gathers as a decimal
  • t the time in years.

For this problem, we know P=$580, r=6.5%=0.065, t=1 year. We substitute into the formula and simplify to find the total amount A.

A=P(1+rt)\\A=580(1+0.065(1))\\A=580(1+0.065)\\A=580(1.065)\\A=617.70\\

Using this total amount we can subtract the original principle to find the amount of interest.

617.7-580=$37.70 of interest

2. Jeans Plus sells jeans for $25 a pair At regular price, if I bought 3 I would spend 3j=s(25)=$75 and then received $10 off. SO I would spend $65 total.

Jeans Junction also sells jeans for $25 and will give me 15% off. This means I would pay 85% or 0.85 of the price (100-15=85). So if I buy 3, I would spend 3j=3(250=75. Then I can multiply 75(0.85)=63.75. This is the better deal because I spend less.

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Given the graph below, what is the y-intercept(s)? Give your answer(s) as an ordered pair.
Irina18 [472]

Answer:

(0, 4)

General Formulas and Concepts:

<u>Algebra I</u>

  • The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).

5 0
3 years ago
Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the
Troyanec [42]

Answer:

The coordinates of the vertices of the reflected figure are :

R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6) ⇒ the right answer is (d)

Step-by-step explanation:

* When you reflect a point across the line y = x, the x-coordinate

 and y-coordinate change their places.

- If the point is (x , y) then its image is (y , x)

* If you reflect over the line y = -x, the x-coordinate and y-coordinate

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- If the point is (x , y) then its image is (-y , -x)

* Lets study the matrix of the reflection  about the line y = x

- The matrix of the reflection about the line y = x is

 \left[\begin{array}{cc}0&1\\1&0\end{array}\right]

- Because the x-coordinate and y-coordinate change places.

* Now lets solve the problem

- We will multiply the matrix of the reflection about y = x

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- The dimension of the matrix of the reflection about y = x

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∵ The point R is (-2 , 5)

∴ R'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{cc}-2\\5\end{array}\right]=

  \left[\begin{array}{c}(0)(-2)+(1)(5)\\(1)(-2)+(0)(5)\end{array}\right]=\left[\begin{array}{c}5\\-2\end{array}\right]

∴ R' is (5 , -2)

∵ The point S is (5 , 3)

∴ S'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}5\\3\end{array}\right]=

  \left[\begin{array}{c}(0)(5)+(1)(3)\\(1)(5)+(0)(3)\end{array}\right]=\left[\begin{array}{c}3\\5\end{array}\right]

∴ S' is (3 , 5)

∵ The point T is (6 , -7)

∴ T'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}6\\-7\end{array}\right]=

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∴ T' is (-7 , 6)

* Lets look to the figures to find the right answer

∵ The R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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So y varies inversely with x means "y=k/x".

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Cross-multiply:

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