21. You want to buy a $25,000 car. The company is offering a 2% interest rate for 48 months (4 years). What will your monthly pa
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Answer:
Step-by-step explanation:
Ir order to find the value of n in the given linear equation: you have to perform the properties of equalities to obtain an equivalent equation.
You have to perform these properties in each side of the equation.
Applying the subtraction property (which is the subtraction of the same number to each side of the equation):
Adding to each side:
This way you can obtain the value of n
Solving the subtraction of the fractions and simplifying:
This is not an identity but an equation. You're supposed to find the values of for which this is true. It is *not* true for all values of
.
To see why:
has period
, which means
.
The angle sum identity for says that
So
By definition of ,
and so
which is only 0 if either (which only happens for certain values of
) or
(which also only happens for certain values of
). It's these values of
you want to find.
whenever
is a multiple of
, i.e.
for any integer
.
If , then
is true for
and
. Then to account for all other possible values, we add a multiple of
, so that
or
for integers
.