<h3>
Answer: 680 different combinations</h3>
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Explanation:
If order mattered, then we'd have 17*16*15 = 4080 different permutations. Notice how I started with 17 and counted down 1 at a a time until I had 3 slots to fill. We count down by 1 because each time we pick someone, we can't pick them again.
So we have 4080 different ways to pick 3 people if order mattered. But again order doesn't matter. All that counts is the group itself rather than the individual or how they rank. There are 3*2*1 = 6 ways to order any group of three people, which means there are 4080/6 = 680 different combinations possible.
An alternative is to use the nCr formula with n = 17 and r = 3. That formula is
where the exclamation marks indicate factorials
Answer: 9
Step-by-step explanation:
Since we are calculating the amount that he got correct, we must divide the numerator by the denominator or make the denominator equal 100. I will do it the second way as it is easier in this case.
25*4 = 100
21*4 = 84
84/100 = 0.84
As a decimal, Andrew got 0.84 of his test correct. Hope this helps!
A=35+5t, b=100-8t, a=b when:
35+5t=100-8t subtract 35 from both sides
5t=65-8t add 8t to both sides
13t=65 divide both sides by 13
t=5 minutes
a=35+5(5)=60 gallons
So the tanks have an equal volume of 60 gallons after five minutes.
Answer:
The answer is (B) $1,307
Step-by-step explanation:
First you would plug the $5000, 5 Years and 8% Interest(Compound) into your Formula - A=P(1+r)t
A=5000(1+.08)5
Which the interest is $2346.64
<u>__ _________________________________________________</u>
Next you would plug $5000, 3 Years and 6.5% Interest(Compound) Into your Formula - A=P(1=r)t
A=5000(1+.065)3
Which the future value is $1039.75
<u>__ _________________________________________________</u>
Finally you would subtract $2346.64 by $1039.75 and then round the difference to the nearest dollar.
