Answer:
3419.46
Step-by-step explanation:
(pir^2h)/3
(3.14(121)(27)/3
3419.46
<u>Given</u>:
The given expression is 
We need to determine the equivalent expression.
<u>Equivalent expression:</u>
Let us determine the equivalent expression.
The equivalent expression can be determined by simplifying the given expression.
Hence, let us apply the exponent rule to simplify the given expression.
Thus, applying the exponent rule, 
, we get;
Rewriting the expression, we get;
Simplifying, we get;
Thus, the equivalent expression is
Hence, Option C is the correct answer.
This is an exponential growth/decay problem. It has a formula, and it doesn't matter which you have...the formula is the same for both, except for the fact that you're rate is decreasing instead of increasing so you will use a negative rate. The formula is this: A = Pe^rt, where A is the ending amount, P is the beginning amount, e is euler's number, r is the rate at which something is growing or dying, and t is the time in years. Our particular formula will look like this: A = 2280e^(-.30*3), Notice we have a negative number in for the rate (and of course it's expressed as a decimal!). First simplify the exponents: -.30*3 = -.9. On your calculator you have a 2nd button and a LN button. When you hit 2nd-->LN you have "e^( " on your display. Enter in -.9 and hit enter. That should give you a display of .4065695. Now multiply that by 2280 to get 926.98, the value of the computer after it depreciates for 3 years at a rate of 30% per year.
Answer:
x ≥ 4 AND x + y ≤ 10
Step-by-step explanation:
If you need up to 10 volunteers, then you can take 10 or less. If we add y and x, we'll get the total amount of people, therefore making the inequality:
x + y ≤ 10.
Now, he needs no fewer than 4 females, so he can take 4 or greater. This means that x should be greater than or equal to 4.
x ≥ 4.
Nothing was mentioned about how many males he needed (y) so these two inequalities match the situation.
Hope this helped!
