your answer option is option 3.
6 and 7
First we would solve both x’s
3x^2 - 5x
But 3 has the thingy thing (forgot the name haha)
Which means you have to multiply it by itself that many times which would be
3x3=9
So now it would be
9x- 5x = 4x
Which leaves 7 and 4x
Now you may subtract those two
7-4x= 3x
Answer:
$406
Step-by-step explanation:
The amount of interest that Lorenzo's account earns is given by ...
I = Prt
where P is the principal amount ($400), r is the annual rate (1.5%) and t is the number of years (1).
Lorenzo's interest is ...
I = $400·0.015·1 = $6.00
Then the balance in Lorenzo's account at the end of one year is ...
$400 +6 = $406.00
Answer: -1
Step-by-step explanation:
You want to find an angle that is coterminal to 495. So, subtract 360 degrees until youre in the range of 0-360. I got 495 - 360 = 135°
Tangent is equal to
, we already solved theta which was 135°
This next part is hard to explain to someone who doesnt know their trig circle, idk if you do. The angle 135 is apart of the pi/4 gang. So we know this is going to be some variant of √2/2. Sine of quadrant 1 and 2 is gonna be positive:

Now lets do cosine of 135°, which again is apart of the pi/4 gang because its divisible by 45°. Its in quadrant 2 so the cosine will be negative.

The final step is to divide them. They are both fractions so you should multiply by the reciprocal.
