Answer:
The answer to the question: "Will Hank have the pool drained in time?" is:
- <u>Yes, Hank will have the pool drained in time</u>.
Step-by-step explanation:
To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:
- Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
- Available time = 360 minutes
Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:
- Volume of the pool = Deep * Long * Wide
- Volume of the pool = 2 m * 10 m * 8 m
- Volume of the pool = 160 m^3
Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:
Now, we use a rule of three:
If:
- 1 m^3 ⇒ 264.172 gal
- 160 m^3 ⇒ x
And we calculate:
(We cancel the unit "m^3)- x = 42267.52 gal
At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:
- Time to drain the pool =
(We cancel the unit "gallon") - Time to drain the pool = 325.1347692 minutes
- <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)
As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.
Step-by-step explanation:
7/8 - 1/4 = 5/8
__z_________z_
Since the length is 10 in. You must multiply it by

and then multiply by

. The reason for this is because if you divide ten by 5 it will be 2, then if you divide 2 by 2 it will be 1.
Answer:
After 11 years the value of the investment reaches $1500.00
.
Step-by-step explanation:
The formula used for finding time (when the value reaches certain amount) is:

where A= Future VAlue
P= Principal Value
r= rate of interest (in decimal)
n= no of times investment is compounded
t= time
Putting the values given and finding Time t,
A= $1500
P= $1200
r= 2% or 0.02
n= 4 (compound quarterly)


Dividing both sides by 1200 and solving 0.02/4 = 0.005


Since t is in power we take the logarithm ln on both sides.
The rule of logarithm says that the exponent can be multiplied with the base when taking log

Greetings!
"<span>The circumference of a circle is 12 inches. What is the radius?"...
We can use the formula to find the circumference of circle to solve this:
</span>

<span>
Input the information we know:
</span>

<span>
Solve for
r, using the properties of equality:
Simplify.
</span>

<span>Divide both sides by
6.28</span>

<span>
Simplify.
</span>

The radius is
1.91cm long.
Hope this helps.
-Benjamin