Answer:
The equation is (x + 1)^2 + (y + 2)^2 = 15
Center is at (-1, -2) and radius = √15
Step-by-step explanation:
2x^2 + 2y^2 + 4x + 8y - 20 = 0
Divide through by 2:-
x^2 + y^2 + 2x + 4y - 10 = 0
x^2 + 2x + y^2 + 4x = 10
Completing the square on the x and y terms:-
(x + 1)^2 - 1 + (y + 2)^2 - 4 = 10
(x + 1)^2 + (y + 2)^2 = 10 + 1 + 4
(x + 1)^2 + (y + 2)^2 = 15
<span>ds=<span>√<span>1+<span><span>(<span><span>dy</span><span>dx</span></span>)</span>2</span></span></span><span>dx</span>=<span>√<span>1+<span>14</span><span>(<span>x4</span>−2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span></span>
<span>=<span>√<span><span>14</span><span>(<span>x4</span>+2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span>=<span>√<span><span>1<span>22</span></span><span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span>2</span></span></span><span>dx</span></span>
<span>=<span>12</span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span><span>d<span>x</span></span></span>
So first you would divide the 10 by 2
-4=12p+5
Then you subtract the five from both sides to try to isolate the variable p
-4=12p+5
-5 -5
You then divide both sides by 12 to solve for p and simplify
-9=12p
(-9/12)=(12p/12)
-3/4=p
Answer:
a)

b)
The total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Step-by-step explanation:
a. Write the function that represents the value of the account at any time, t.
The function that represents the value of the account at any time, t

where
P represents the principal amount
r represents Annual Rate
n represents the number of compounding periods per unit t, at the end of each period
t represents the time Involve
b) What will the value be after 10 years?
Given
The principal amount P = $4200
Annual Rate r = 3.6% = 3.6/100 = 0.036
Compounded monthly = n = 12
Time Period = t
To Determine:
The total amount A = ?
Using the formula

substituting the values


$
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 4,200.00 at a rate of 3.6% per year compounded 12 times per year over 10 years is $5667.28.
Answer: the exact volume is 1,357.168
Step-by-step explanation: