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12345 [234]
3 years ago
8

trevon invested 1500 in an account with an interest rate of 4.25%. If he plans to retire in 18 and 1/2 years, how much total wil

l be in his account?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0
Assuming simple interest rate with an APR, then,

\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$1500\\
r=rate\to 4.25\%\to \frac{4.25}{100}\to &0.0425\\
t=years\to 18\frac{1}{2}\to &18.5
\end{cases}
\\\\\\
A=1500(1+0.0425\cdot 18.5)\implies A=1500(1.78625)
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The two lines graphed below are parallel. How many solutions are there to the system of equations?
coldgirl [10]

Solutions just means the amount of times the lines intersect, so there are no solutions. Since the lines are parallel, they’re going the exact same direction forever and ever, never intersecting. Hope this helps!

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2 years ago
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A line segment is drawn from (+1, +9) to (+4, +9) on a coordinate grid. Which answer explains one way that the length of this li
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The correct answer would be C
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3 years ago
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The endpoints of a diameter of a circle are (6,2) and (−2,5) . What is the standard form of the equation of this circle?
Paul [167]

Answer:

The standard form of the given circle is

(x-2)^2+(y-\frac{7}{2})^2=73

Step-by-step explanation:

Given that the end points of a diameter of a circle are (6,2) and (-2,5);

Now to find the standard form of the equation of this circle:

The center is (h,k) of the circle is the midpoint of the given diameter

midpoint formula is M=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

Let (x_{1},y_{1}) and (x_{2},y_{2}) be the given points (6,2) and (-2,5) respectively.

M=(\frac{6-2}{2},\frac{2+5}{2})

M=(\frac{4}{2},\frac{7}{2})

M=(2,\frac{7}{2})

Therefore the center (h,k) is (2,\frac{7}{2})

now to find the radius:

The diameter is the distance between the given points (6,2) and (-2,5)

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

=\sqrt{(-2-6)^2+(5-2)^2}

=\sqrt{(-8)^2+(3)^2}

=\sqrt{64+9}

=\sqrt{73}

Therefore the radius is \sqrt{73}

i.e., r=\sqrt{73}

Therefore the standard form of the circle is

(x-h)^2+(y-k)^2=r^2

Now substituting the center  and radiuswe get

(x-2)^2+(y-\frac{7}{2})^2=(\sqrt{73})^2

(x-2)^2+(y-\frac{7}{2})^2=73

Therefore the standard form of the given circle is

(x-2)^2+(y-\frac{7}{2})^2=73

5 0
3 years ago
Urgent help! can someone answer these questions for me?
pantera1 [17]

Answer:

she needs 600 g chocolate. He needs 150 g flour. his recipe is for 6 people

4 0
3 years ago
If A = -3n + 2 and B = 5n - 7, what is the value of A - B, in simplest form?
bekas [8.4K]
  • <em>Answer:</em>

<em>- 8n + 9</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there ! </em>

<em>A - B = ( -3n + 2 ) - (5n - 7)</em>

<em>= - 3n + 2 - 5n + 7</em>

<em>= - 8n + 9</em>

<em>Good luck !</em>

6 0
3 years ago
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