Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute the values in the formula
Answer:
$1000.00
Step-by-step explanation:
The supervisor is asking for an expense form of a <u>total (?) </u>when you return.
Given the charges given in the word problem, it is only logical to assume the supervisor wants a expense form of how much you spent (total) on the trip. Thus, you add!
Answer:
Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.
Step-by-step explanation:
Z-score
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
On which exam did Carl earn a better score with respect to his peers?
On whichever exam he had the higher z-score.
SAT
Scored 730, mean 516, standard deviation 116. So



ACT
Scored 32, mean 21, standard deviation 5.3. So



Carl's ACT grade had a higher z-score, which means that he earned a better score with respect to his peers on the ACT test.
Answer:
1. he eats 5 per day (5 less every day)
2. he starts with 83 pieces of candy
3. 53
4. on day 11
Step-by-step explanation:
1. self explanatory
2. self explanatory
3. 6*-5=-30 -30+83=53
4. put y as 28
28=-5x + 83 now solve for x
subtract 83 both sides
-55=-5x
divide -5 from both sides
11=x
3/4 root 10
you make a right triangle. use Pythagorean theorem. and find the opposite side. then reduce the radical of 160. and do tan and then flip them around to make cot.