Answer:
11, 14, 17, 20
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Consider 2, 6, 18, 54
6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic
Consider 3, 6, 12, 24
6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic
Consider 11, 14, 17, 20
14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic
Consider 7, 11, 13, 18
11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic
The arithmetic sequence is 11, 14, 17, 20
Answer:
SA = 300 cubic yards
Step-by-step explanation:
SA = 12(5) + 8(12 + 13 + 5)
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
A = $235,000
P = $53,000
n = 1 because it was compounded once in a year.
t = 18 years
Therefore,.
235000 = 53000(1 + r/1)^1 × 18
235000/53000 = (1 + r)^18
4.43 = (1 + r)^18
Raising both sides to the power of 1/18, it becomes
4.43^(1/18) = (1 + r)^18 × 1/18
1.086 = 1 + r
r = 1.086 - 1
r = 0.086
r = 0.086 × 100 = 8.6%
