In a recent year, a sample of grade 8 Washington State public school students taking a mathematics assessment test had a mean sc

ore of 281 with a standard deviation of 34.4. Possible test scores could range from 0 to 500. Assume that the scores are normally distributed. Question 9 (2.5 points) If 2000 students are randomly selected, how many would you expect to have a score between 250 and 305?

Mathematics

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Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5

Zina [12379]

To determine this, we will apply the simple interest formula: $A=P(a+rt)$
where
$A$ signifies the total amount.
$P$ indicates the principal amount.
$r$ represents the interest rate in decimal.
$t$ denotes the time period in years.

Investment A. The initial investment amount is $10,000, so $P=10000$ . The investment period is 5 years, meaning $t=5$ . To express the interest rate in decimal, divide it by 100%
$r= \frac{3}{100} =0.03$
Now, we can substitute these values into our formula to find $A$ :
$A=P(a+rt)$
$A=10000(1+0.03*5)$
$A=11500$

Investment B. $P=8000$ , $t=15$ , and $r= \frac{2.8}{100} =0.028$ .
$A=P(a+rt)$
$A=8000(1+0.028*15)$
$A=11360$

In conclusion, investment A will yield a greater value than investment B at the investment period's conclusion.

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