Answer:
total payment = $563,760
Interest = $383,760
Principal part = $66
Step-by-step explanation:
(a) total payment:
n = 30 years = 360 months
monthly payment = $1,566
Total payment = $1,566 * 360 months = $563,760
(b) interest:
Total payment = $563,760
Principal = $180,000
Total payment = Principal + Interest
Interest = Total payment - Principal
Interest = $563,760 - $180,000 = $383,760
(c) part of first payment applied to the principal:
First payment = $1,566
Principal = $180,000
Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly
Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500
Principal part = $1,566 - $1,500 = $66
Hope this helps!
Answer:

Step-by-step explanation:
We need to sum the following two expressions:


expanding the polynomial in the numerator:


This is the most simplified form we can get:

The average of a set of data is equal to the sum of the values divided by the number of data present. So, if we have three numbers, the average would be:
let x, y and z represent the three numbers
average = x + y + z / 3 = 45
Two number are equal in value, so let x = y. Substituting the value to the expression of average,
45 = x + x + z / 3
45 = 2x + z / 3
It said that the last number is 89 so z is equal to 89.
45 = 2x + 89 / 3
135 = 2x + 89
46 = 2x
x = 23
Therefore, the two numbers are both 23.
same as before, is the proportion of one, the same as the other? let's do the same here without much fuss.

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Answer:
yes
Step-by-step explanation: