Can anyone plz help me with this problem im a little stuck on it...
1 answer:
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Step-by-step explanation:
As we know that
- The circle center is equidistant from all three points, the distance being the circle radius.
- Any point equidistant from two points must lie on the perpendicular bisector of the line segment which join those two points.
- Which is, on the line through the midpoint of the line segment, perpendicular to the line segment.
The perpendicular bisector of the line segment joining the points (1, 1) and (1, 3) will be:
The perpendicular bisector of the line segment joining the points (1, 3), and (9, 2) will be:
These intersect at the center of the circle (5, 2).
The distance between (1, 1) and (5, 2) will be:
So the equation of the circle can be written as:
Answer :
Depends on the rate compound interest is accrued. See answers.
Step-by-step explanation:
We need the compound interest formula which is:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.
MONTHLY
So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.
$25,480 - $10,000 = $15,480
P = 15,480
r = 4.75% = .0475
n = 12 (12 months in a year)
t = 2
Plug everything into the compound interest formula.
Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.
QUARTERLY
P = 15,480
r = 4.75% = .0475
n = 4 (4 quarters in a year)
t = 2
Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.
YEARLY
P = 15,480
r = 4.75% = .0475
n = 1
t = 2
Mr. Lee paid $16,985.53 when the bill came due at 2 years with interest compounded yearly.