Answer:
Below, depends if 27 is term number 1 or term number 0. Answered for both cases.
Step-by-step explanation:
The most common sequences are arithmetic and geometric, so lets check those first.
Arithmetic first since its the easiest.
to go from 27 to 21 we subtract 6, if we subtract 6 from 21 again we get to 15, which is what we need, so it is indeed arithmetic.
Explicit formula is basically of the form of y=mx+b with an arithmetic sequence. the m is the common difference and b is the first term minus the common difference. so lets fill those in. y = -6x + 33
Then it usually has n as the x and y f(n) so we'll just put those in
f(n) = -6n + 33
This si as long as the first term is labeled as term number 1 and not term number 0. if you have 27 as term 0 instead just make 33 back to 27, so f(n) = -6n + 27
Let me know if this doesn't make sense.
Answer:
480
Step-by-step explanation:
1200 times 0.4 equals 480
Answer:
503,049
Step-by-step explanation:
250,000 × 1.06^12 is the formula.
You take the percentage which is 6% and you add 1 to it.
So, you get 1.06
Then you take the 1.06 and raise it to the number of years which is 12.
1.06^12
Then you multiply that number to the base number which is 250,000 and get 503,049.
Hope this helps!
Answer:
6.6 months
Step-by-step explanation:
33 ÷ 5=6.6
This should help and if It doesn't I am sorry
For this case what we can do is the following rule of three:
2/3 of a box ------> 1/2 minutes
x of a box ---------> 1 minute
Clearing x we have:
x = (1 / (1/2)) * (2/3)
Rewriting:
x = 2 * (2/3)
x = 4/3
Answer:
the number of boxes per minute that the machine packs is:
x = 4/3
