Answer:
Step-by-step explanation:
Given
Sequence = Consecutive Odds
Required
The sum of the terms
A sequence of odd number has a difference of 2. So, the sequence is represented as:
Add up all terms in the sequence
Inverse variation is of the form:
y=k/x, which we can express as:
yx=k we are given the point (2/3, 7) so we can solve for k
7(2/3)=k
14/3=k
y=14/(3x), so when x=7/3
y=(14/3)/(7/3)
y=(14/3)(3/7)
y=2
9514 1404 393
Answer:
- to interest: $532.97
- to principal: $54.23
- new balance: $79,891.90
Step-by-step explanation:
The interest is found by multiplying the monthly rate by the balance on the loan. For the first month, the balance is the loan amount.
$79,946.13 × 0.08 ×(1/12) . . . . . one month = 1/12 year
= $532.97
The interest amount in the first payment is $532.97.
__
The amount of the first payment that goes to principal is what is left after the interest is paid:
$587.20 -532.97 = $54.23 . . . amount to principal
__
The new balance is the previous balance less the amount to principal:
$79,946.13 -54.23 = $79,891.90 . . . new balance
