Answer:
(x-9)²+(y-5)²=64
Step-by-step explanation:
Centre is (9,5) and radius is 16*pi/2*pi=8. Plug it in the equation of circles
Answer:
1) Mutually exclusive
2) Overlapping or inclusive
$116.02 interest will be earned in 9 months
Step-by-step explanation:
The formula for simple interest is given by:
Here
P is the initial amount
r is the interest
t is the time measured in years
Given
P = $2475
r = 6.25% = 
t = 9 months
Converting time into year by dividing by 12
Putting the values in the formula
Rounding off to nearest hundredth
I = $116.02
Hence,
$116.02 interest will be earned in 9 months
Keywords: Interest, simple interest
Learn more about simple interest at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
Let d represent the number of dimes. Then 81-d is the number of nickels and the total value in cents is ...
10d +5(81-d) = 530
5d +405 = 530 . . . eliminate parentheses
d +81 = 106 . . . . . divide by 5
d = 25 . . . . . . . . . subtract 81; number of dimes
81 -d = 81 -25 = 56 . . . . . number of nickels
There are 25 dimes and 56 nickels in the box.
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<em>Comment on the method of solution</em>
It usually works well to let the variable represent the amount of the highest-value contributor (dimes). This keeps the numbers positive as the solution progresses.
Since it costs $4 to rent the first movie, and $X for each additional movie, the correct equation is y=4x+4.
The reason it's 4x instead of 5x is because the first movie costs $4, and the remaining 4 movies cost $X each.
