Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Associatio
1 answer:
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Answer:
for n = 1, 2, . . . , 20.
Step-by-step explanation:
This is an arithmetic sequence, because the population is said to increase by 4 animals yearly. The formula for the nth term in an arithmetic sequence is given by:
where
is the nth term, [/tex]a_1[/tex] is the first term, n = 1, 2, . . . and d is the common difference.
Since they are currently 17, this implies that the first number in the population sequence will be 17. In order words, the first term is 17.
Since they increase by 4 yearly, then the common difference is 4.
Since it's for 20years, the n = 1, 2, . . ., 20. The explicit formula is therefore:
for n = 1, 2, . . . , 20.
Answer:
units
Step-by-step explanation:
The Line 1 has equation x + y = 5 ....... (1) , and
Line 2 has equation x + y = 3 .......... (2)
Now, we have to find the perpendicular distance between line 1 and line 2.
We can say that (3,0) is a point on line 2 as it satisfies the equation (2).
Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula
units (Answer)
We know that the perpendicular distance from any external point () to a given straight line ax + by + c = 0 is given by the formula
.
Answer:
Step-by-step explanation:
Calculus....finally something FUN to answer!
This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:
and using the First Fundamental Theorem of Calculus, that will integrate to look like this:
from 1 to b and applying the FTC:
Multiplying everything by 2 to get rid of the denominators gives you: