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4 years ago

Kate has $60 in a savings account that earns 5% annually. The interest is not compounded.

Mathematics

1 answer:

stiv31 [10]4 years ago

8 0

5% of $60 is 3, so she will earn $63 in a year.

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Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

4 years ago

Read 2 more answers

Tras una rebaja del 8%, un pantalón cuesta 17,28 euros. ¿Cuál era su precio inicial?

Sholpan [36]

Answer:

18.78

Step-by-step explanation:

x*(100%-8%)=17.28

x=18.78

3 0

3 years ago

Does the point (6, 0) satisfy the equation y = x2?

shtirl [24]

Replace x in the equation with the x value of the point (6) and solve. If it equals the y value (0) it is a solution if it noes not equal (0) it is not a solution.

Y = 6^2 = 36

36 is not 0 so (6,0) is not a solution

6 0

3 years ago

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A rectangular garden has length twice as great as its width. A second rectangular garden has the same length as the first garden

Slav-nsk [51]

I say 12 because that would mean the first rectangle is 6x12 and the second is 10x12

4 0

4 years ago

The relationship between feet and inches is described by the equation y = 12x, where x = a given length in feet and y = the equi

Westkost [7]

The answer is B, 75 inches. This is because for every for there is 12 inches. So, if you plug in 6.25 where the x is, it is saying there are 12 inches per 6.25 feet. So multiply 12 by 6.25 to get 75, your answer, B. Hope this helps

8 0

3 years ago