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2 answers:
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Answer:
The amount which will be in account after 6 years is $ 1120 .
Step-by-step explanation:
Given as :
The principal in the account = $740
The rate of interest = 6.7 % compounded monthly
The time period = 6 years
Let the Amount in the account after 6 years = A
<u>From compound interest method </u>
Amount = Principal ×
Or, A = $ 740 ×
Or, A = $ 740 ×
or, A = $ 740 × 1.5164 = $ 1122.136
Hence The amount which will be in account after 6 years is $ 1120 . Answer
Answer:
a₁ = 18
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 10 and a₅₁ = - 182, then
a₁ + 2d = 10 → (1)
a₁ + 50d = - 182 → (2)
Subtract (1) from (2) term by term to eliminate a₁
48d = - 192 ( divide both sides by 48 )
d = - 4
Substitute d = - 4 into (1) and evaluate for a₁
a₁ + 2(- 4) = 10
a₁ - 8 = 10 ( add 8 to both sides )
a₁ = 18
We have by distributivity of limits over sums, and continuity of and
, that
Given , it follows that