Factors of 84: 1, 2<span>, </span>3<span>, 4, 6, </span>7<span>, 12, </span>14<span>, </span>21<span>, </span>28<span>, </span>42<span>, 84. Prime factorization: 84 = </span>2<span> x </span>2<span> x </span>3<span>x </span>7<span> which can also be written (</span>2^2<span>) x </span>3<span> x </span>7<span>.</span>
Answer:
Volume is 
Solution:
As per the question:
Diameter, d = 40 m
Radius, r = 20 m
Now,
From north to south, we consider this vertical distance as 'y' and height, h varies linearly as a function of y:
iff
h(y) = cy + d
Then
when y = 1 m
h(- 20) = 1 m
1 = c.(- 20) + d = - 20c + d (1)
when y = 9 m
h(20) = 9 m
9 = c.20 + d = 20c + d (2)
Adding eqn (1) and (2)
d = 5 m
Using d = 5 in eqn (2), we get:
Therefore,
Now, the Volume of the pool is given by:
where
A = 
Thus
![V = [- 533.33cos\theta + 1000\theta]_{0}^{2\pi}](https://tex.z-dn.net/?f=V%20%3D%20%5B-%20533.33cos%5Ctheta%20%2B%201000%5Ctheta%5D_%7B0%7D%5E%7B2%5Cpi%7D)
Answer:
It will take Carrie 8 months to pay off the loan
Step-by-step explanation:
Step 1: Determine the expression for total amount to be paid
T=m×n
where;
T=total amount to be payed
m=total payments per month
n=number of payments to be made
In our case;
T= $960
m= $120
n=unknown
replacing;
960=120×n
120 n=960
n=960/120
n=8 months
It will take Carrie 8 months to pay off the loan
Answer:
7,515
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
3x + 2 = 4
4-2 = 3x
2 = 3x
x = 2/3
2/3 x 6 = 12/3 = 4 - 4 = 0
