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3 years ago

11

On Tuesday morning aiden walked to the bank to check his account balance he had $123 he withdrew $20 what was his balance on Tue

sday afternoon?

1 answer:

aliya0001 [1]3 years ago

8 0

103 dollars :)))))))))

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How to I make 3x+6y=18 into y=my+b

kirza4 [7]

Answer:

Step-by-step explanation:

3x+6y=18

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(18)=0

Step by step solution :

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

3x + 6y - 18 = 3 • (x + 2y - 6)

Equation at the end of step 1 :

Step 2 :

Equations which are never true :

2.1 Solve : 3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve x+2y-6 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-6 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

y-intercept = 6/2 = 3

Calculate the X-Intercept :

When y = 0 the value of x is 6/1 Our line therefore "cuts" the x axis at x= 6.00000

x-intercept = 6/1 = 6.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.000 and for x=2.000, the value of y is 2.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 2.000 - 3.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.000/2.000 = -0.500

Geometric figure: Straight Line

Slope = -1.000/2.000 = -0.500

x-intercept = 6/1 = 6.00000

y-intercept = 6/2 = 3

3 0

3 years ago

A motorcycle insurance company has 5,000 policy holders, and the accident rate is 0.08. the company needs to invest $400,000 thi

Oksi-84 [34.3K]

When the insurance company want a plan with a deductible of $4,000, they need to charge a minimum of $18000 for premiums.

<h3>What is a deductible?</h3>

It should be noted that a deductible simply means the amount of money that is paid out of the pocket of the policy holder.

From the information given, each accident costs $18,000 on average. Therefore, this is the minimum amount of premium.

When they want a plan with a premium of $1,000, the amount that they'll need to charge for deductibles will be:

= (4000/18000) × 1000

= $220

Learn more about deductible on:

brainly.com/question/5306277

#SPJ1

8 0

2 years ago

Which of the following statements is not true? a) The standard deviation of the sampling distribution of sample mean = σ/√n b) T

I am Lyosha [343]

Answer:

e) The mean of the sampling distribution of sample mean is always the same as that of X, the distribution from which the sample is taken.

Step-by-step explanation:

The central limit theorem states that

"Given a population with a finite mean μ and a finite non-zero variance σ2, the sampling distribution of the mean approaches a normal distribution with a mean of μ and a variance of σ2/N as N, the sample size, increases."

This means that as the sample size increases, the sample mean of the sampling distribution of means approaches the population mean. This does not state that the sample mean will always be the same as the population mean.

6 0

3 years ago

Determine the graph of the polar equation r=4/(1-1/2cosx(theta))

crimeas [40]

Answer:

see below

Step-by-step explanation:

We assume you want the graph of ...

$r=\dfrac{4}{1-\frac{1}{2}\cos{(\theta)}}$

A graphing calculator or spreadsheet is useful for this.

__

You know cos(θ) = cos(-θ), so the graph is symmetrical about the x-axis. You can evaluate the function at a few points to find the general outline.

r at 0° = 8

r at 30° ≈ 7.05

r at 45° ≈ 6.19

r at 60° ≈ 5.33

r at 90° = 4

r at 120° = 3.2

r at 135° ≈ 2.96

r at 150° ≈ 2.79

r at 180° ≈ 2.67

6 0

3 years ago

The first side of a triangle is 9 meters shorter than the second side. The third side is 3 times as long as the first side. The

Alex73 [517]

Answer:

The longest sides is 18 m long.

Step-by-step explanation:

Let x meters be the length of the first side.

The length of the second side = x+9 m.

The length of the third = 3x m.

Perimeter = x + 3x + x + 9 = 39

5x + 9 = 39

5x = 30

x = 6 m.

The other 2 sides are 6+9 = 15 m and 3*6 = 18 m.

7 0

3 years ago