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Karolina [17]
3 years ago
11

3.

Mathematics
1 answer:
irina1246 [14]3 years ago
5 0
3)
Principal Amount = P = $7200
Interest rate = r = 4% = 0.04
Time = t = 8 years

Formula for compounding is:

A=P (1+r)^{t}

Using the values, we get:

A=7200 (1+0.04)^{8}=9853.70

Therefore, the compounded amount will be $9853.70 

4)
Principal Amount = P = $7200
Compounded Amount = A = $9853.70

Interest Earned = Compounded Amount - Principal Amount
So,
Interest Earned = 9853.70 - 7200 = $2653.70

Therefore, $2653.70 will be earned as interest over a period of 8 years.
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Use the normal distribution of SAT critical reading scores for which the mean is 502 and the standard deviation is 116. Assume t
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Answer:

(a) 93.19%

(b) 267.3

Step-by-step explanation:

The population mean and standard deviation are given as 502 and 116 respectively.

Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.

(a) The percent of the SAT verbal scores are less than 675 can be calculated as:

P(X

Thus, the required percentage is 93.19%

(b)

The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:

P(X>575)=P(\frac{x-502}{116}>\frac{575-502}{116}\\P(X>575)=P(Z>\frac{575-502}{116})\\P(X>575)=P(Z>0.6293)\\P(X>575)=0.2673

So,

Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.

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