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zepelin [54]
3 years ago
15

Write an exponential equation for the following scenario, $1000 is deposited into an account that earns 5% interest.

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

The formula to find the final amount A, compounded yearly for x year at r% when p is the initial amount :

A=p(1+r)^x

Given that, $1000 is deposited into an account that earns 5% interest.

So, p = 1000 and r =5% = 5/100= 0.05.

Next step is to plug in these values in the above equation to get the equation.

Hence,

A = 1000(1+0.05)^x

=1000(1.05)^x

So, the correct choice is C) y=1000(1.05)^x.

Hope this helps you!

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Answer:

To find the inverse of:

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Set the function to y:

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\implies xy+x=2y+6

\implies x(y+1)=2y+6

\implies x=\dfrac{2y+6}{y+1}

Swap x and y:

\implies y=\dfrac{2x+6}{x+1}

Change y to the inverse of the function sign:

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g(x)=\dfrac{3}{x+2}-2

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