Answer:
Step-by-step explanation:
drain empties 1/10 of the desired amount per minute
pump fills 1/14 of the desired amount per minute
when both are active, the net drain is 1/10-1/14 = 1/35 of the desired amount per minute
It takes 35 minutes to reach the cut-off level.
Answer:
f(0) = g(0)
Step-by-step explanation:
- if a function h(x) passes through [a,b] then it can be said that h(a)=b.
- given that, g(x) passes through (-2,0) and (0,4)
so, g(-2)=0, g(0)=4.
- f(x) passes through (0,4) and (2,0)
so, f(2)=0, f(0)=4.
- so, first option is correct.
1. Balance after 1 year with simple interest= 600 + (2.5 x 12) = 600 + 30 = $630
2. Balance after 1 year with compounded interest = P ( 1 + 

= 600 ( 1 + 
= 600 (1.0511) = $630.66 = approx. $630
Answer:
C. 31.83 feet.
Step-by-step explanation:
We have been given that Trina has $1000 to purchase an open-top cylindrical dog pen in her backyard. She wants the height of the pen to be 5 feet.
First of all, we will find the surface area of dog pen using surface area of cylinder.
,where,
r = Radius of cylinder,
h = Height of cylinder.


Since the area of each square foot of pen costs $1, so in $1000 Trina can cover an area of 1000 square feet.
Now, we will set the surface area of cylinder equal to 1000 to solve for the radius.

Upon dividing both sides of our equation by 10 pi we will get,



Therefore, the radius of the dog pen is 31.83 feet and option C is the correct choice.
Answer:
The answer is 8 : 22, 12:33 as they are two equelivant ratios 11 and 4