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nika2105 [10]
3 years ago
12

Which number is written in scientific notation?

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

4.5X10^-3

Step-by-step explanation:

Scientific notation formula= x.x times 10^x

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Alex invests $2,000 in a company's stock. After a year, the value of Alex's stock has increased to $2,500. What rate of return h
Kay [80]

The rate of interest is 25%

<u>Explanation:</u>

Given:

Principal, P = $2,000

Amount, A = $2500

Time, t = 1 year

Rate of Interest, r = ?

We know:

Amount = P(1+\frac{r}{100})^t

On substituting the value we get:

2500 = 2000 (1 + \frac{r}{100})^1\\ \\\frac{25}{20}= (1+\frac{r}{100})\\

\frac{5}{20} = \frac{r}{100}\\  \\r = \frac{100 X 5}{20} \\\\r = 25

Therefore, the rate of interest is 25%

5 0
3 years ago
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Find the value of the expression if x=12.<br> 1. 3x
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Answer:

36

Step-by-step explanation:

X equals 12, substitute X for 12

3(12)=36

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The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after
Olenka [21]
To solve this we are going to use the half life equation N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }
Where:
N_{0} is the initial sample
t is the time in years
t_{1/2} is the half life of the substance
N(t) is the remainder quantity after t years 

From the problem we know that:
N_{0} =100
t=200
t_{1/2} =1600

Lets replace those values in our equation to find N(t):
N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }
N(200)=100e^{( \frac{-138.6}{1600} )}
N(200)=100e^{-0.086625}
N(200)=91.7

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0
3 years ago
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It is a function because each x value only has one y value
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3 years ago
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The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20
Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

0.40x+20

To solve for x,  subtract 20 on both sides, we get

0.40x

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x......... → the number of  bars that could be ordered, with the shipping costs and their spending requirements must less than 450.

Thus, they can order from 0 to 449 bars, but no more.

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