Answer:
sec²(x) - sec(x) + tan²(x) = (sec(x) - 1)(2sec(x) + 1)
Step-by-step explanation:
sec²(x) - sec(x) + tan²(x) =
= sec²(x) - sec(x) + [sec²(x) - 1]
= sec²(x) - sec(x) + [(sec(x) + 1)(sec(x) - 1)]
= sec(x)[sec(x) - 1] + [(sec(x) + 1)(sec(x) - 1)]
= (sec(x) - 1)(sec(x) + sec(x) + 1)
= (sec(x) - 1)(2sec(x) + 1)
Given:
Rate of simple interest = 5%
Time = 4 years
Total interest = $160
To find:
The amount borrowed by Austin from a credit union.
Solution:
The formula for simple interest is:

Where, P is principal, r is the rate of interest and t is the number of years.
Putting
in the above formula, we get



Multiply both sides by 5.

Therefore, Austin borrowed $800 from a credit union for 4 years.
Answer:
12 and 13
Step-by-step explanation:
I hope this helps! Have a lovely day!! :)
Answer: C. -12 - 3 + 9
Step-by-step explanation:
-12 because the fish are 12 m <em>below</em> the ocean.
-3 because the fish swim <em>down</em>.
+9 because the fish swim <em>up</em>.
Answer:
a
Step-by-step explanation: