-I5I=-5 vs. I-5I= 5

The absolute value will stay the same for both negative and positive. The result will change depending on where you put your absolute value signs.

6 0

3 years ago

The formula A=P(1+r)t is used to show the total amount owed for a loan with a simple annual interest rate.

vodka [1.7K]

We are asked to express r in terms of A, P, and t.

We first divide both sides of the equation by t, which gives us

$\displaystyle{ \frac{A}{t}=P(1+r)$ ,

then, dividing both sides by P, we have

$\displaystyle{ \frac{A}{Pt}=1+r$ .

Swap the sides:

$\displaystyle{ 1+r= \frac{A}{Pt}$

Finally subtracting 1 from both sides gives us

$\displaystyle{ r=\frac{A}{Pt}-1$ .

5 0

3 years ago

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Given:

pychu [463]

We can use the SSS congruence theorem to prove that the two triangles in the attached figure are congruent. The SSS or side-side-side theorem states that each side in the first triangle must have the same measurement or must be congruent on each of the opposite side of another triangle. In this problem, for the first triangle, we have sides AC, CM, AM while in the second triangle we have sides BC, CM, and BM. By SSS congruent theorem, we have the congruent side as below:
AC = BC
CM = CM
AM = BM

The answer is SSS theorem.

4 0

3 years ago

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