Step-by-step explanation:
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What property is shown?: a(b + c) = ab + ac
2 answers:
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Answer:
The correct option is:
2, 4, 12, 48, 240
Step-by-step explanation:
We have to determine the first 5 terms of the sequence by using following formula:
To Calculate the first 5 terms.
Put n = 1
a₁ = 2 (1)!
a₁ = 2(1)
a₁ = 2
Put n = 2
a₂ = 2 (2)!
a₂ = 2 (2·1) = 2(2)
a₂ = 4
Put n = 3
a₃ = 2(3)!
a₃ = 2(3·2·1)
a₃ = 2(6)
a₃ = 12
Put n = 4
a₄ = 2(4)!
a₄ = 2(4·3·2·1)
a₄ = 2(24)
a₄ = 48
Put n =5
a₅ = 2(5)!
a₅ = 2(5·4·3·2·1)
a₅ = 2(120)
a₅ = 240
Answer:
His parents should invest $15,278.16 to reach this goal ⇒ 4th answer
Step-by-step explanation:
* Lets explain how to solve the problem
- Derrick will need $39,500 in 10 years for college tuition
∴ The future amount is $39,500
∴ The time for investment is 10 years
- P is the money his parents invest now at 9.5% annual interest,
compounded daily
∴ The rate is 9.5% per year compounded daily
- The formula of the compounded interest is:
, where
# A is the future value of money
# P is the value of investment
# r is the rate of interest in decimal
# t is the time of investment
# n is the period of the time
∵ A = $39,500
∵ t = 10
∵ r = 9.5/100 = 0.095
∵ n = 365 ⇒ compounded daily
- Lets use the formula above to find P
∴
∴
- Divide both sides by 2.58539
∴ P = $15278.16
∴ His parents should invest $15,278.16 to reach this goal