Answer:
Step-by-step explanation:
7). 5.75% =
=
=
10).
% =
% =
=
12).
% =
% =
Now is you turn. You can do it!
The common ratio between terms is 3, so the sequence has general
-th term
![a_n=3^{n-1}](https://tex.z-dn.net/?f=a_n%3D3%5E%7Bn-1%7D)
for
. The term exceeds 7000 when
![3^{n-1}>7000\implies n-1>\log_37000\implies n>1+\log_37000\approx9.06](https://tex.z-dn.net/?f=3%5E%7Bn-1%7D%3E7000%5Cimplies%20n-1%3E%5Clog_37000%5Cimplies%20n%3E1%2B%5Clog_37000%5Capprox9.06)
which means the first time
exceeds 7000 occurs when
. Indeed,
![a_{10}=3^{10-1}=19,683](https://tex.z-dn.net/?f=a_%7B10%7D%3D3%5E%7B10-1%7D%3D19%2C683)
while the previous term would have been
![a_9=3^{9-1}=6561](https://tex.z-dn.net/?f=a_9%3D3%5E%7B9-1%7D%3D6561)
Answer: The answer is 3^12.
Step-by-step explanation:
Printer A prints for 10 minutes, so prints
... (30 pages/minute)×(10 minutes) = 300 pages
Printer B prints for 7 minutes, so prints
... (40 pages/minute)×(7 minutes) = 280 pages
At the end of 10 minutes, the two printers will have printed
... 300 pages + 280 pages = 580 pages
Answer:
35/4
Step-by-step explanation:
Change -1 2/3 into -5/3. Change -5 1/4 into -21/4.
Multiply -5/3 by -21/4= 105/12
Reduces down to 35/4