Answer:
Step-by-step explanation:
For these we always want to see how much each term is decreasing by, this will tell us what kind of series it is.
-40, -47, -54, -61
Each time it DECREASES by -7, so it is an arithmetic sequence
The explicit form is found with two parts. the start and how much each term changes by. The start is -40 and the change is -7, so the explicit formula is -40 - 7(n-1). This is assuming the first term is a_1. If you are starting with a_0 instead you want to make (n-1) be n. so if a_0 = -40 then you have -40 - 7n but if -40 = a_1 then you have -40 - 7(n-1)
the next one has a "common difference" of 30. so now if -8 is a_0 you have -8 + 30n but if -8 is a_1 then you have -8 + 30(n-1)
Answer:
$8
Step-by-step explanation:
The formula for simple interest is i = p*r*t, where r is the interest rate as a decimal fraction.
Here, i = $80*0.10*1 = $8
The probability of one arrives within the next 10 minutes
when he already been waiting for one jour for a taxi is,
P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10)
= 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1
= 0.3679
The probability of one arrives within the next 10 minutes
when he already been waiting for one hour for a taxi is 0.3679
A circle with center 
and radius 
has equation
If we substitute 
in this equation, we have
This equation has two solutions (i.e. the line intersects the circle in two points) if and only if the determinant is greater than zero:
The expression simplifies to
The solutions to the associated equation are
So, the parabola is negative between the two solutions:
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