Answer:
-41
Step-by-step explanation:
arithmetic sequence formula:
where an = nth term , a1 = first term, n = # of terms and d = common difference
we want to find the 21st terms
The first term is -1 so a1 = -1
The number of terms is 21 so n = 21
and the common difference appears to be -2 because as the sequence goes on the number previous to it is subtracted by 2. eg. to get to -3 from -1 we subtract 2 ( -1 - 2 = -3) so d = -2
to find the 21st term we plug in the values of the variables
an = a1 + (n-1)d
a1 = -1 , n = 21 and d = -2
an = -1 + (21-1)(-2)
subtract 1 from 21
an = -1 + (20)(-2)
multiply -2 and 20
an = -1 + -40
add -1 and -40
an = -41
the 21st term would be -41
Answer:
$329.55
Step-by-step explanation:
We simply just multiply the hours by the total cost he gets paid each hour.
Since he gets paid 8.45 each our and works 39 hours we do:
8.45 * 39 = 329.55
Answer:
c
Step-by-step explanation:
(0,-5)
0-(-5)=5
x=0
y=-5
making it c
Answer:
k = 1
P(t) = (t + 20)²
Step-by-step explanation:
P' = k√P = k P⁰•⁵
To solve for k,
P' = 10 rabbits/month
P = 100 rabbits
10 = k √100
10 = 10k
k = 1
To solve for P(t)
P' = dP/dt
(dP/dt) = kP⁰•⁵
dP/P⁰•⁵ = k dt
P⁻⁰•⁵ dP = k dt
∫ P⁻⁰•⁵ dP = ∫ k dt
2P⁰•⁵ = kt + c
At t = 0, P = 100
2(100)⁰•⁵ = 0 + c
2 × 10 = c
c = 20
2P⁰•⁵ = kt + c
2P⁰•⁵ = kt + 20
Recall, k = 1
2P⁰•⁵ = t + 20
P⁰•⁵ = (t + 20)
P(t) = (t + 20)²