Solution of 5b+6=21?
2 answers:
You might be interested in
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
--------------------------------------------------------------
The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
=
- 7 with a₁ = - 18 ← recursive formula
Answer:
The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000
Step-by-step explanation:
Given as :
The total amount to be invested as bonds and certificates of deposit (CD) = $76,000
Let the amount invested as bonds = $ x + $6000
And The amount invested as CD = $ x
Now, According to question
The amount invested as CD + The amount invested as bonds = $ x + $ x + $6000
Or, $ x + $ x + $6000 = $76,000
Or, $ 2x = $76,000 - $6000
So, $ 2x = $70,000
∴ x = = $ 35,000
And $ x + $6000 = $ 35,000 + $6000 = $ 41,000
Hence The amount invested as certificates of deposit is $ 35,000 and The amount invested as bonds is $ 41,000 Answer