David added 2 and 3 using the number line tool.<br> Which of the following errors did he make?

How much money will you have if you started with $1200 and put it in an account that earned 7.3% every year for 10 years?

andrezito [222]

So an exponential equation is gonna be used for this problem. The formula for such is $y=ab^x$ , in which the a variable is the initial value and the b variable is the growth/decay rate.

For this situation, 1200 is gonna be your a variable since you've started out with it. And as for your b variable, its gonna be 107.3%, or 1.073, since it's increasing.

Your equation should look like this: $y=1200(1.073)^x$ and from here just plug in 10 into the x variable and solve.

Multiply (1.073)^10 (don't round answers until the end), and take that answer and multiply it with 1200, your answer should be $2427.61.

$y=1200(1.073)^{10} \\ y=2427.61$

8 0

3 years ago

2x - y = 8<br> y= x-3<br> Use substitution method

uranmaximum [27]

Answer:

Slope = 0.222/2.000 = 0.111

x-intercept = -3/1 = -3.00000

y-intercept = 3/9 = 1/3 = 0.33333

Step-by-step explanation:

Step 1 :

Equation of a Straight Line

1.1 Solve x-9y+3 = 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-9y+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/3 so this line "cuts" the y axis at y= 0.33333

y-intercept = 3/9 = 1/3 = 0.33333

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

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 0.333 and for x=2.000, the value of y is 0.556. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.556 - 0.333 = 0.222 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 0.222/2.000 = 0.111

Geometric figure: Straight Line

Slope = 0.222/2.000 = 0.111

x-intercept = -3/1 = -3.00000

y-intercept = 3/9 = 1/3 = 0.33333

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plz mark me as brainliest if this helped :)

3 0

3 years ago

Which one of you pieces of shxt is good at math

Marta_Voda [28]

Answer: it depends lolll

8 0

2 years ago

A village wishes to measure the quantity of water that is piped to a factory during a typical morning. A gauge on the water line

anzhelika [568]

Answer:

570 m³

Step-by-step explanation:

The volume of water is the product of flow rate of water and the time taken. We are to get the volume of water used between 6 am and 9 am, that is for 3 hours (9 - 6).

We are given the flow rate at 6 am and the flow rate at 9 am, but this flow rate changes between 6 am and 9 am. To get the estimate of the water used, Let us assume that it flows at the same flow rate as it was at 6 am throughout, hence:

$V_L= 100 m^3/h * 3h=300\ m^3$