you put $350 in an account. The account earns $17.50 in simple interest in 2.5 years. what is the annual interest rate

1 answer:

4 0

Set up a proportion:

17.50 x
-------- --------
2.5 years 1 year

Cross multiply, 17.50 x 1 year = 17.50
2.5 x x= 2.5 x
Now divide: 17.50 divided by 2.5x is 7. So the annual interest rate per year is 7$. Remember that I said PER YEAR!

Hope this helps!

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What is the length of ST if RS=7?

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We can use tangent to calculate the length of ST.

$\sf tangent=\dfrac{opposite}{adjacent}$

Here, the opposite side of the 60 degree angle is ST, and the adjacent is RS. Plug in what we know, we can use 'x' for side ST:

$\sf tan(60\textdegree )=\dfrac{x}{7}$

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$\sf x=7tan(60\textdegree )$

This is an exact answer for the length of ST, we can find an approximate with a calculator:

$\sf x\approx 12.12$