Answer:
6.3 years
Step-by-step explanation:
Given
--- initial value
-- rate
--- function
Required
Find t when
We have:
Substitute: and
Divide both sides by 22400
Take log of both sides
Apply law of logarithm
Solve for t
Answer:
- 3rd quadrant: 210°
- 4th quadrant: 330°
Step-by-step explanation:
The equation can be rearranged by subtracting 1, then dividing by 2. Doing so gives you ...
... sin(x) = -1/2
The sine of an angle is the y-coordinate of the point where its terminal ray intersects the unit circle. A horizontal line at y=-1/2 intersects the unit circle in two places. (Refer to the attached diagram.) In each case, the reference angle (the smallest angle made with the x-axis) is 30°.
Conventionally, we measure angles counterclockwise from the +x axis, so the 3rd-quadrant angle (between 180° and 270°) will be 180°+30° = 210°.
The 4th-quadrant angle (between 270° and 360°) will be 360°-30° = 330°.
_____
<em>Comment on the diagram</em>
The geometry program used to create the figure decided to show the angles measured clockwise. To get the answers you want, you need to subtract the angles shown from 360°.
<em>Comment on calculator solutions</em>
If you use a calculator (in degrees mode) to find the angle whose sine is -1/2, it will tell you sin⁻¹(-0.5) is -30°. This means the angle is 30° measured clockwise from the +x axis. Of course, the value you want in that quadrant is 360°-30° = 330°. You have to understand that the third quadrant angle can be found by adding the reference angle (30°) to 180°.
Answer:
Its 13.68
Step-by-step explanation:
just multiply 72 by 0.19
Answer:
11
Step-by-step explanation:
in the "score" section all you do is add all them up. And because there is a negative for ALL the numbers, all you do is add a negative after you add all the SCORES
$675.00 - $530.00 = $145.00
$145.00 - $200.00 = $55.00 negative balance, amount short.
$55.00 + 340.00 = $285.00 positive balance after deposit.
$285.00 - $29.00 = $256.00 new balance
Daniel has a new balance of $256.00