A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket?
2 answers:
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Answer:
Rosa is correct
Step-by-step explanation:
Rosa has array (6 rows and 8 columns). She can break this array into two smaller arrays in such ways:
- 1st array
(5 rows and 8 columns) and 2nd array
(1 row and 8 columns);
- 1st array
(4 rows and 8 columns) and 2nd array
(2 rows and 8 columns);
- 1st array
(3 rows and 8 columns) and 2nd array
- 1st array
(6 rows and 1 column) and 2nd array
(6 rows and 7 columns);
- 1st array
(6 rows and 2 columns) and 2nd array
(6 rows and 6 columns);
- 1st array
(6 rows and 3 columns) and 2nd array
(6 rows and 5 columns);
- 1st array
(6 rows and 4 columns) and 2nd array
So, there are even more than 3 different ways.
<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:
Step-by-step explanation:
The general formula for exponential decay given a half-life is
where N(t) is the amount at time t, is the initial amount (at time t=0), and
is the half life of the substance.
The half life of carbon-14, is approximately 5,730 years.
= 5730 years
= 6 milligrams
Therefore:
Amount of carbon-14 remaining in the bone fragment after t years is: