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elixir [45]
4 years ago
9

A circle passes through the point (0,0.5). What it’s radius

Mathematics
1 answer:
belka [17]4 years ago
6 0

Answer: The radius of this circle is 0.5

Step-by-step explanation:

We have a circle that passes through the point (0, 0.5)

We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)

For a circle centered in the origin, we have the equation:

x^2 + y^2 = r^2

Where r is the radius.

Here we have that x = 0 and y = 0.5

then:

0^2 + (0.5)^2 = r^2

0.5^2 = r^2

r = 0.5

The radius of this circle is 0.5

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The Johnson family wants to start a college fund for their daughter Gabriella. They put $63, 000 into an account that grows at a
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Answer:

<em>It will take approximately 34.13 years</em>

Step-by-step explanation:

The function G(t) below represents the amount of money in some account t years after the account is opened for The Johnson's daughter Gabriella:

G(t)= 63,000(1+ .0255/4)^ {4t}

It's required to find the number of years (t) it will take for the account to reach G(t)=150,000. We need to solve the equation:

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Dividing by 63,000 and simplifying:

\displaystyle (1+ .0255/4)^ {4t}=\frac{150,000}{63,000}=2.38095

Taking logarithms:

\displaystyle \log(1+ .0255/4)^ {4t}=\log 2.38095

Applying logarithms property:

\displaystyle (4t) \log(1+ .0255/4)=\log 2.38095

Solving for t:

\displaystyle 4t =\frac{\log 2.38095}{\log(1+ .0255/4)}

\displaystyle t =\frac{\log 2.38095}{4\log(1+ .0255/4)}

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3 years ago
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