Given:
and 
are complementary angles.
To find:
The measure of .
Solution:
According to the definition of the complimentary angles, the sum of two complementary angles is always 90 degree.
It is given that, and are complementary angles. So,
Therefore, the measure of is 58°.
We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:
The effective annual yield (EAY) will be:
The EAY is 101.22%
Answer:
There are 31 students in the class.
Step-by-step explanation:
Well,
As we can see, the only difference is that the parentheses have moved.
This is an example of the associative property. It is specifically of multiplication, because products are used in this case.
Just as a test, let's see whether they are really equal.
Following PEMDAS, we get:
(2*4)7 = 2(7*4)
(8)7 = 2(28)
56 = 56
They are equivalent.
Answer:
He is being paid $180 on Monday.
Step-by-step explanation:
Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.
Here is the function that can be used to represent the situation:
f(x) = 3.50x + 75
Now, plug in 30 to find out how much he earns after completing a 30 mile route:
f(30) = 3.50(30) + 75
f(30) = 105 + 75
f(30) = 180
Also, the $75 is a fixed amount. No variable association.
