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2 years ago

Emily is making a punch that contains 75% apple juice and the rest ginger ale. The punch has 2 liters of ginger ale.

Mathematics

1 answer:

uysha [10]2 years ago

5 0

Answer:

A. 0.25x = 2 B. 6

Step-by-step explanation:

25% of the total number of liters of juice = 2

this means that

the total number of liters of juice = $\frac{2}{.25}$ = 8

the total number of liters of juice = the apple juice + the ginger ale

the ginger ale = the total number of liters of juice - the apple juice

the ginger ale amount = 8 - 2 = 6

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2 years ago

5. You deposit $300 in an account Urat pays 1.48% annual interest. What is the balance after 1 year if the

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Answer:

The correct option is (A) $304.47.

Step-by-step explanation:

The formula to compute the future value (FV) of an amount (A), compounded daily at an interest rate of r%, for a period of n years is:

$FV=A\times [1+\frac{r\%}{365}]^{n\times 365}$

The information provided is:

A = $300

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Compute the future value as follows:

$FV=A\times [1+\frac{r\%}{365}]^{n\times 365}$

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2 years ago

triangle JKL is rotated 270 degrees counterclockwise about the origin to form triangle jkl what is the y-coordinate of point j

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The y-coordinate of point j' in the image triangle J'K'L' is -x coordinate of point j in the initial triangle JKL.

Step-by-step explanation:

The rule to apply here is that of 90° clockwise about the origin.

This is to say that: rotation 270° counterclockwise about the origin applies the same rule as rotation 90° clockwise about the origin.

In this case, If point j has coordinates (x,y) then after the rotation j' will have coordinates (y,-x)

So the y-coordinate of point j' in the image triangle J'K'L' is -x coordinate of point j in the initial triangle JKL.

Learn more

Rotation about the origin 270°:brainly.com/question/3382538

Keywords : triangle, rotated, origin, counterclockwise,y-coordinate

#LearnwithBrainly

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2 years ago

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three

RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

$g(x)=-5x^{2}+100x-450$

Complete the square

$g(x)=-5(x^{2}-20x)-450$

$g(x)=-5(x^{2}-20x+100)-450+500$

$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

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