Answer: $787 was originally borrowed.
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
Total amount = $1181.05
Interest = total amount - principal
I = 1181.05 - P
R = 15%
T = 1 year
Therefore,
1181.05 - P
Therefore,
1181.05 - P = (P × 15 × 1)/100
1181.05 - P = 0.15P
P + 0.15P = 1181.0
1.5P = 1181.05
P = 1181.05/1.5
P = $787
<u> ∑ k = 1 88 2.5 ( 1.2 ) k</u><u> is this series written in </u><u>sigma notation. </u>
What is the series written in sigma notation?
- A series can be represented in a compact form, called summation or sigma notation.
- The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n .
- The expression is read as the sum of 4n as n goes from 1 to 6 .
Given:
2.5 + 2.5(1.2) + 2.5(1.2)2 + ⋯ + 2.5(1.2)87
If we look at the power it is always one less the term i.e., for first term the value of k=0.
So, the series in the form of summation can be written as
∑ k = 1 88 2.5 ( 1.2 ) k
Learn more about sigma notation
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Y= 5, 2, 1, 2,5
............
Answer:
Please find attached solution.
Step-by-step explanation: