For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.

If we want the final value F to double in 5 years, F is then equal to P then n=5. The equation is now:

2P=P(1+i)^5
2=(1+i)^5
i=14.87% per year

5 0

4 years ago

Find the measure of x

BigorU [14]

The answer is 43. You have to do: 180 (maximum in the triangle) - 47 - 90 (the angle that isn’t x) = 43. That’s the measure of x!

4 0

3 years ago

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Please help, thanks.

Svetllana [295]

$\text{Apply Pythagorean theorem,}\\ \\~~~~~~12^2 = 3^2 + h^2\\\\\implies h^2 = 12^2 -3^2\\\\\implies h^2 = 144-9\\\\\implies h^2 = 135\\\\\implies h = \sqrt{135}\\\\\implies h = 3\sqrt{15}\\\\\implies h \approx 11.62$

6 0

2 years ago

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Geometry help please!! 20 points

vekshin1

Answer:

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so <u>(6x+72)+3x=180</u>

<u /> $(6x+72)+3x=180\\9x+72=180\\9x=108\\x=12$

6 0

2 years ago