Answer:
- equivalent rate: 7.186%
- compounded 16 times
Step-by-step explanation:
The equivalent interest rate is the rate that would have to be applied so it would earn the same amount in 1 year. It is computed from ...
requiv = (1 +r/n)^n -1
requiv = (1 +0.07/4)^4 -1 ≈ 7.186%
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"Compounded quarterly" means interest is compounded 4 times per year. In 4 years, it will be compounded 4·4 = 16 times.
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The balance in the account after 4 years is ...
$600·(1 +.07/4)^(4·4) ≈ $791.96
Answer:
sin⁴x - sin²x
sin²x(sin²x - 1)
(1 - cos²x)(1 - cos²x - 1)
(1 - cos²x)(-cos²x)
-cos²x + cos⁴x
cos⁴x - cos²x
Answer:
0
Step-by-step explanation:
Opposite numbers lie on opposite sides of 0 but are the same distance from 0. For example, the opposite of 3 is -3, and both those numbers are on opposite sides of 0, both 3 units from it.
The opposite of -4 is 4. Those are on opposite sides of 0 and both are 4 units from it.
Zero?
The opposite of 0 is 0 itself! The symbol -0 can be confusing if you read that as "negative zero" and expect it to be on the negative side of the number line. It's better to read that as "the opposite of zero" or, if you want to sound overly smart (but even more correct!), say "the additive inverse of 0".
This all leads up to the idea of absolute value of a number: its distance from 0.
|3| = 3
|-4| = 4
|0| = 0
Answer:
Step-by-step explanation:
The first expression has value 12
The second expression has value -6
The third expression has value
4
And finally the forth expression has value 1.14
((13 + 7) = 20
(12+4) = 16
16/ (20 - 16)= 16 / 4
16/4 = 4