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kolezko [41]
3 years ago
11

Jim Moore opens a new savings account. He deposits $12,000 at 12% compounded semiannually. At the start of the fourth year, Jim

deposits an additional $50,000 that is also compounded semiannually at 12%. At the end of six years, the balance in Jim Moore's account is
HELP!!!!
Mathematics
1 answer:
kupik [55]3 years ago
4 0
<span>It is 12000 x (1.06)^12 + 50000 x (1.06)^6 = 95,072.31 start of 4th year to end of 6th year = 6 semi-annual periods where interest is compounded for the second deposit</span>
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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
monitta

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

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

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

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<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

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We don't need to take the square root of both sides, as we will have the square it again anyways.

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2 years ago
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Oduvanchick [21]

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