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4 years ago

11

Please help. Directions are in the picture.

1 answer:

mr Goodwill [35]4 years ago

8 0

So let's start with the slope-intercept form of a linear equation. That is y = mx+b where m is slope and b is the y intercept. But, this is an inequality. So first we have to look at the way the graph is shaded. Since it is shaded upwards, you know that it is in the form of y ≥ mx + b. It tells you that the y-intercept is c because the line hits the y-axis at (0,c). Hence the equation is now y ≥ mx + c. But now, we have to find the slope of the graph. This is found by "rise over run" (I am sure you have heard of this). Count how many units the graph went down/up and how many units the graph went left/right and put it in fraction form of (units down or up) / (units left or right). Well it moves 2 units down so plug -2 into the top. It moved 1 unit right, so plug +1 into the denominator. So, the slope is -2. Hence we finally have our formula: y ≥ -2x + c which is the 5th choice.

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Answer:

The most Kyle can invest at 4% is $10000.

Step-by-step explanation:

<u>To Determine:</u>

What is the most he can invest at 4% and still be guaranteed at least $700 in interest per year?

<u>Information Fetching and Solution Steps:</u>

As

Dillon plans to invest $16,000 part at 4% simple interest

and the rest at 5% simple interest

So,

If Kyle has to invest $16,000. then the following equations can be established from the given data

$x + y = 16,000$

$.04x + .05y = 700$

Multiplying the second equation by 100, we get,

$4x+5y = 70000$

Multiplying the 1st equation i.e. $x + y = 16,000$ by 5

$5x + 5y = 80000$

So, the equations become

$\begin{bmatrix}5x+5y=80000\\ 4x+5y=70000\end{bmatrix}$

$\mathrm{Isolate}\:x\:\mathrm{for}\:5x+5y=80000:\quad x=16000-y$

As

$5x+5y=80000$

$5x+5y-5y=80000-5y$

$5x=80000-5y$

$\frac{5x}{5}=\frac{80000}{5}-\frac{5y}{5}$

$x=16000-y$

$\mathrm{Subsititute\:}x=16000-y$

$\begin{bmatrix}4\left(16000-y\right)+5y=70000\end{bmatrix}$

$\mathrm{Isolate}\:y\:\mathrm{for}\:4\left(16000-y\right)+5y=70000:\quad y=6000$

As

$4\left(16000-y\right)+5y=70000$

$64000-4y+5y=70000$

$64000+y=70000$

$y=6000$

$\mathrm{For\:}x=16000-y$

$\mathrm{Subsititute\:}y=6000$

$x=16000-6000$

$x=10000$ $

Therefore, the most Kyle can invest at 4% is $10000.

Keywords: interest rate, equation

Learn more equation involving interest rate from brainly.com/question/1504250

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$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

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