Natalie's meal at Fresh Catchery cost $26.02, not including tip. If Natalie wants to leave a 24% tip, how much should she pay? R
1 answer:
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Answer:
a. 72
b. 816
c. 570
d. 30
Step-by-step explanation:
Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.
Please refer the figure for a better understanding.
a. In a normal distribution, Mean = Median = Mode
Therefore, Median = Mean = 72
b. We have to know that 68% of the values are within the first standard deviation of the mean.
i.e., 68% values are between Mean Standard Deviation (SD).
Scores between 63 and 81 :
Note that 72 - 9 = 63 and
72 + 9 = 81
This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.
Now, Scores between 63 and 81 =
= 68 X 12 = 816.
That means 816 students have scored between 63 and 81.
c. We have to know that 95% of the values lie between second Standard Deviation of the mean.
i.e., 95% values are between Mean 2(SD).
Note that 90 = 72 + 2(9) = 72 + 18
Also, 54 = 63 - 18.
Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to of the values.
Therefore, Scores between 72 and 90 =
= 570.
That is a total of 570 students scored between 72 and 90.
d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.
In this case, 5 % of the values lie between below 54 and above 90.
Since, we are asked to find scores below 54. It should be 2.5% of the values.
So, Scores below 54 =
= 2.5 X 12 = 30.
That is, 30 students have scored below 54.
The maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.
<h3>What is simple interest?</h3>Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
As it is given the principal amount of the loan is $2500, while the interest rate is 4.3%, therefore, after a period the interest on the loan will be,
Thus, the interest amount on the loan of $2500, is $107.5.
Now, in order to find the value of the loan we need to add the interest and the principal amount of the loan together. Therefore, the value of the loan can be written as,
The value of the loan = Principal Amount + Interest rate
= $2500 + $107.5
= $2607.50
Hence, the maturity value of a loan of $2500 at the simple interest rate of 4.3% that is needed to be repaid in 8 months is $2607.50.
Learn more about Simple Interest: