Answer:
$1573.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 31470 × 0.05 × 1 = 1573.5
I = $ 1,573.50
The simple interest accumulated
on a principal of $ 31,470.00
at a rate of 5% per year
for 1 year is $ 1,573.50.
Answer:
b) Chemistry
Step-by-step explanation:
To compare both scored we need to standardize the scores using the following equation:

Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:

Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15
At the same way, 80 on Calculus is equivalent to:

Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13
Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.
Answer: The answer is 4 and 32.
Step-by-step explanation: Let "A", "B" and "C" represents the set of students who were taking Arabic, Bulgarian and Chinese respectively.
The, according to the given information, we have

Let 'p' represents the number of students who take all the three languages, then

Also,

From here, we get after subtracting equation(c) from (b) that
Therefore,
and from equation (a), we find

Thus,
and

Thus, the number of students who take all the three languages is 4 and the number of students who take none of the languages is 100-68 = 32.
opposites are also called additive inverse and have the sum of zero.
Answer:
7:07 p.m
Step-by-step explanation:
Add 37 minutes to 6:30