You almost had it right! remember the equation of a circle is
(x - h)^2 + (y - k)^2 = r^2. the center is (h,k) and r is the radius.
(x - 0)^2 + (y - 0)^2 = 5^2
x^2 + y^2 = 25 <<< your answer
hope that helps, God bless!
<span> -14x + 11y = 23
+2(7x - 3y = 37)
----------------------
0 + 5y = 97
y = 97/5
y = 19.4
7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6
Check
-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23
</span>
Answer:
$172,984.44
Step-by-step explanation:
We can use the formula
to compute the final amount
Here P is the principal amount, the original deposit = $25,000
r is the annual interest rate = 6.5% = 0.065 in decimal
n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year
t is the number of time periods ie 30 years
A is the accrued amount ie principal + interest
Computing different components,
Therefore
By clearly looking at the sequence there are in Arithmetic Progression
So for finding which term is 2218 in that sequence
we have x_{n} = a+ (n-1)d
Here,
a=3
x_{n}=2218 & d=5(by looking at the sequence given)
by substituting those values we get our desired result
2218=3+(n-1)5
2218-3=(n-1)5
2215=(n-1)5
2215/5=n-1
453=n-1
n=454
so 454 term is 2218
Answer:
m=37
Step-by-step explanation:
The 2 angles are complementary, or add to 90 degrees. Wee know this because of the little square in the corner that indicates a right angle, which is equal to 90 degrees.
m+53=90
Solve for m by getting m by itself. To do this, subtract 53 from both sides to "reverse" the addition being done to m.
m+53-53=90-53
The 53s on the left cancel, and we are left with:
m=37
