How to do operations with scientific notation

1 answer:

7 0

1. Rewrite the number with the smaller exponent so that it has the same exponent as the number with the larger exponent by moving the decimal point of its decimal number.
2.Add/subtract the decimal numbers. The power of 10 will not change.
3. Convert your result to scientific notation if necessary.

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Last year, Raina had $10,000 to invest. She invested some of it in an account that paid 9% simple interest per year, and she inv

kaheart [24]

Answer:

7000 in the account that paid 9% interest rate and 3000 in the account that paid 8% interest rate

Step-by-step explanation:

Let $x be invested in account 1 and $(10000-x) in the second account

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2 years ago

Which inequality would result in the shaded solution on the unit circle to the right?

omeli [17]

<h3>Answer: Choice B</h3>

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that $\sec(x) = \frac{1}{\cos(x)}$