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scoundrel [369]
3 years ago
15

Use the drop-down menus below to represent the solution to the system of the two linear equations shown on the graph. The graph'

s x-axis ranges from negative 10 to 10, and the y-axis ranges from negative 10 to 10. The solution to the system of equations is ( , ). Question 2 Part B Which statement is true about the point that represents the solution to the system of the two linear equations shown above? A The point is the solution because it represents a point of intersection with the $x$ -axis. B The point is the solution because it represents a point of intersection with the $y$ -axis. C The point is the solution because it is the only point that satisfies both equations simultaneously. D The point is the solution because it is one of several points that satisfies both equations simultaneously.
Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

is D

Step-by-step explanation:

because it just makes more sense and my teacher told me the answer

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Bob wants $50,000 at the end of 7 years in order to buy a car. if his bank pays 4.2% interest, compounded annually, how much mus
Furkat [3]
<span>The correct answer is $1452.50 per year.

Explanation:<span>
We use the formula
</span></span>P(1+\frac{r}{n})^{nt}+PMT(\frac{[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}})\times (1+\frac{r}{n}),<span><span>

where P is the amount of principal invested, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, PMT is the monthly deposit added, and t is the number of years.

Since the amount of principal is not stated, we will assume that Bob is depositing the same amount every following year as he does the first year, so we will let PMT=P.

Our interest rate, r, is 4.2%; 4.2%=4.2/100=0.042.

The number of times the interest is compounded annually, n, is 1.
The amount of time, t, is 7.

We know he wants $50,000. This gives us the equation
50000=P(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>+P{[(1+0.042/1)</span></span>⁽¹ˣ⁷⁾<span><span>]/(0.042/1)}*(1+0.042/1).

Simplifying this a bit, we have
50000=P(1.042)</span></span>⁷<span><span>+P((1.042</span></span>⁷<span><span>)/0.042)*(1.042).

We can factor out P, giving us
50000=P[1.042</span></span>⁷<span><span>+((1.042</span></span>⁷<span><span>)/0.042)*1.042].

This then gives us
50000=P(34.4234).

Divide both sides:
50000/34.4234 = (P(34.4234))/34.4234,

which gives us P=1452.50.</span></span>
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3 years ago
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