Answer:
what is 0.5% of 30 = 0.15
what is 0.5% of 193 = 0.965
what is 0.5% of 864 = 4.32
Step-by-step explanation:
Answer:
The half life of the car is 3.98 years.
Step-by-step explanation:
The value of the car after t years is given by the following equation:

In which V(0) is the initial value and r is the constant decay rate, as a decimal.
The value of a certain car decreases by 16% each year.
This means that 
So



What is the 1⁄2-life of the car?
This is t for which V(t) = 0.5V(0). So







The half life of the car is 3.98 years.
Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
To find the answer we can use the angles sum of triangle which is 180° to find ∠z by deducting the other two angles from 180°:
180°-53°-90°
=37°
Therefore ∠z=37°.
Hope it helps!