NEEED HELPPPP

2 answers:

3 0

For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%
I hope my answer helped you.

Harrizon [31]3 years ago

3 0

Answer:

The rate of interest is 18%.

Step-by-step explanation:

The exponential function for the compound interest is $A(x)=P(0.82)^x$

That is, $A(x)=P(1-0.18)^x$

As we know,

<em>The compound interest is given by $A=P(1+r)^x$ , where r = rate of interest.</em>

On comparing, we get that,

The rate of interest is 0.18 i.e. 18%.

Hence, the rate of interest is 18%.

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Is the triangle obtuse, acute, equilateral or right?

Stells [14]

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Answer:

obtuse

Step-by-step explanation:

The law of cosines tells you ...

b² = a² +c² -2ac·cos(B)

Substituting for a²+c² using the given equation, we have ...

b² = b²·cos(B)² -2ac·cos(B)

We can subtract b² to get a quadratic in standard form for cos(B).

b²·cos(B)² -2ac·cos(B) -b² = 0

Solving this using the quadratic formula gives ...

$\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$

The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...

$\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}$