We know, S = n/2 [ a + l ]
Here, a = 45
l = 108
Calculation of n:
a(n) = a + (n - 1)d
108 = 45 + (n - 1)1
108 - 45 = n - 1
63 + 1 = n
n = 64
Now, substitute in the expression:
S = 64/2 [ 45 + 108 ]
S = 32 [ 153 ]
S = 4896
In short, Your Answer would be 4896
Hope this helps!
Answer:
$32.30 each week
Step-by-step explanation:
Deposit = 15% = $34.20
⇒ total cost of camp = (34.20 ÷ 15) x 100 = $228
Balance left after deposit = 228 - 34.20 = $193.80
If paying the remaining balance in 6 weekly installments,
⇒ weekly payment = 193.80 ÷ 6 = $32.30
Answer:
I believe this would be B
Step-by-step explanation:
The way I do improper fractions is called the 'boot'
It is where you take the whole number and the denominator and circle both of them so it kind of looks like a boot and you multiply those together.
So 5 * 8= 40 then you add your numerator to that which gets you 45, and you keep the denominator the same
So you end up with 45/8
Sorry if its a little confusing
Hope this helps :)
B. Hshejsiaiajsgaiajbehsiabsvahajakajbsjs
Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.
Step-by-step explanation:
The equation of a circle in the center-radius form is:
(1)
Where
are the coordinates of the center and
is the radius.
Now, we are given the equation of this circle as follows:
(2)
And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:
(3)
Rearranging the equation:
(4)
(5)
Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of
:
<u>For the first parenthesis:</u>

We can rewrite this as:

Hence in this case
and
:

<u>For the second parenthesis:</u>

We can rewrite this as:

Hence in this case
and
:

Then, equation (5) is rewritten as follows:
(6)
<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>
Rearranging:
(7)
At this point we have the circle equation in the center radius form 
Hence:


