Answer:

Step-by-step explanation:
We are given the trigonometric equation of:

Let u = 4x then:

Find a measurement that makes sin(u) = √3/2 true within [0, π) which are u = 60° (π/3) and u = 120° (2π/3).

Convert u-term back to 4x:

Divide both sides by 4:

The interval is given to be 0 ≤ 4x < π therefore the new interval is 0 ≤ x < π/4 and these solutions are valid since they are still in the interval.
Therefore:

Answer:
$16,500
Step-by-step explanation:
The computation of the amount that should be paid for the car is shown below:
Since the car would be purchased one year ago
And, the value of the car would be decreased by 15% to $14025
So the amount that should be paid is
= $14025 × 100 ÷ (100 - 0.15)
= $16,500
Answer:
without the sales, he would have spent $44.57
Step-by-step explanation:
Let the amount he would have spent without the sales be x. Now, if there is a 65% discount, what this means is that he is exactly paying for 100 - 65% = 35%
Now, it is this 35% of X that is equal to the amount he paid
Thus, mathematically, we have the following;
35/100 * x = 15.60
35x = 15.6 * 100
35x = 1560
x = 1560/35
x = $44.57
This means that without the sales discount, he would have paid $44.57
Reflexive property of Equality is your answer!
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