$8000 is borrowed at 6.2% p.a. Simple interest for 4 years.What is the total amount owed over 4 years??

Answers

Answer 1

Answer: The total amount owed after 4 years is $8000 plus the simple interest:

$8000 + $8000(0.062)(4) = $9984

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Graph f(x)=-4|x 1|-3

Answers

Answer:

Check Explanation and picture.

Step-by-step explanation:

This is an absolute value function!

You didn't provide a sign where the x does something to 1 which doesn't give clarity for any transformation to the right or left.

Assuming it's a negative: You shift 1 to the RIGHT

Assuming it's a positive: You shift 1 to the LEFT

However, -3 indicates shifting 3 down.

The negative is a reflection that makes the v point down.
(Starting from the transformation point) The 4 ensures you go down 4 and over 1.

You should also use desmos graphing calculator to make it easier to visualize the functions.

Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4.A. y = 4x – 25
B. y = 4x – 1
C. y + 1 = 4(x – 6)
D. y + 6 = 4(x – 1)

Answers

Answer:

The answer is the option A

$y=4x-25$

Step-by-step explanation:

we know that

The equation of the line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept of the line

In this problem we have

$m=4$

$point(6,-1)$

substitute the values in the equation and solve for b

$-1=4*6+b$

$b=-1-24=-25$

The equation of the line is equal to

$y=4x-25$

y = mx+b

m= 4

y= 4x+b

solve for b using (6,-1)

-1 = 4 (-1)+b
b=3

therefore equation is y=4x+3

same as (y+1)=4(x-6)

Explain how to use a graph of the function f(x) to
find f(3).

Answers

Answer:

See below.

Step-by-step explanation:

f(3) means the y-coordinate of the point that has x-coordinate 3.

To find f(3) using a graph of f(x).

Look up x = 3 on the x axis. If the function passes through that point on the x-axis, then f(3) is 0. If the function does not pass through that point, then go up or down till you intersect the function. Draw a horizontal segment left to the y-axis and read the point on the y-axis that the horizontal segment intersects. That is what f(3) is equal to.

Answer:

Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

answer on edge

ABCD is a rectangle. find m <AEB

Answers

Answer:

$\Rightarrow m\angle AEB=130^(\circ)$

Step-by-step explanation:

As ABCD is a rectangle. So each angle of the rectangle is 90° and $m\angle EAD=65^(\circ)$ , so

$m\angle EAB=90^(\circ)-65^(\circ)=25^(\circ)$

The diagonals of the rectangle bisects each other. Hence,

$\Rightarrow AE=BE$

In a triangle if two sides are equal then the angles opposite them will be equal.

So in triangle AEB,

$m\angle EBA=m\angle EAB=25^(\circ)$

As the sum of the angles in a triangle adds up to 180°, so

$\Rightarrow m\angle EBA+m\angle EAB+m\angle AEB=180^(\circ)$

$\Rightarrow m\angle AEB=180^(\circ)- m\angle EBA-m\angle EAB$

$\Rightarrow m\angle AEB=180^(\circ)-25^(\circ)-25^(\circ)=130^(\circ)$

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure ofside LM. Round your answer to the nearest tenth if necessary.

Answers

Answer:

LM = 24.3

Step-by-step explanation:

In terms of similar shapes, we know that the ratio of the value of one side to its corresponding side value is equal to another. In other words, we know that LK and HG are corresponding sides by looking at the quadrilaterals. The ratio of LK to HG is equal to the ratio of another pair of corresponding sides, such as LM and IH.

Therefore, the ratio of LK and HG (LK/HG) is equal to the ratio of LM and IH (LM/IH) . Make sure to keep the same quadrilateral's sides on top/bottom. In this example, LM and LK are on the same quadrilateral, and are therefore both on top. Similarly, IH and HG are of the same quadrilateral and are both on bottom. We can write this as

LK / HG = LM / IH

34/7 = LM / 5

Multiply both sides by 5

34*5/7 = LM

LM ≈ 24.2857

Rounding to the nearest tenth, LM = 24.3

Answer:

24.3

Step-by-step explanation:

4v = 20
Help please

Answers

Answer:

v=5

Step-by-step explanation:

you are trying to make 4v into v right ?

so simply divide it by 4 - the same if it was 4a or 7a or 9k, always start by dividing by the number

then you need to balance the two sides - so whatever number you divide the letter by (which is the 4 in this case) , you do the same with the other side , so whatever number is after the equal sign , divide it by 4

PART ONE ↓ 4v = 20

DIVIDE BY 4 → v = 20

PART TWO v = 20 ↓

v = 5 ← DIVIDE BY 4

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