Answer:
an = 5 + 2n
Step-by-step explanation:
Each time it increases by the same amount (2), so this is an arithmetic sequence:
an = a₁ + d (n - 1)
Given a₁ = 7 and d = 2:
an = 7 + 2 (n - 1)
an = 7 + 2n - 2
an = 5 + 2n
Check our answer:
n=1: a₁ = 5 + 2(1) = 7
n=2: a₂ = 5 + 2(2) = 9
n=3: a₃ = 5 + 2(3) = 11
n=4: a₄ = 5 + 2(4) = 13
Ryan: y=10x+25 Alex: y=11x+20
a) Mr. Smith should choose Alex because the price would be $42 compared to Ryan which would be $45
b) Mr.Smith could choose either Ryan or Alex because they would both charge $75
Answer:
Radical form of the expression is, 8
Step-by-step explanation:
Given the expression:
Since, is same as
Now, to write an exponent in radical form,
then the denominator or the index goes in front of the radical and
the numerator goes inside of the radical.
we raise the base to the power of the numerator then:
= = =
therefore, the radical form of the given expression is, 8
Answer:
(a) 35.41166
(b) 29.15324
(c) 37.6595
(d) 56.70206
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Step-by-step explanation:
The given function is
where t represents the number of years since 1990 and M(t) is in billions of dollars.
Differentiate with respect to t.
.... (1)
M'(t) represents the rate of change of money in circulation, where t represents the number of years since 1990.
(a) For 1991, substitute t=1 in equation (1).
(b) For 1998, substitute t=8 in equation (1).
(c) For 2005, substitute t=15 in equation (1).
(d) For 2011, substitute t=21 in equation (1).
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.