Answer:
40,022.62
Step-by-step explanation:
9% of 36,718=3304.62
36,718+3304.62=40,022.62
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,

If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to

So the height of the ball is that product.
A(6) = .33 cm
A is your answer
Answer:
C. 7.8
Step-by-step explanation:
This problem involves the use of a trigonometric ratio. This one specifically involves the use of cosine as it provides the leg adjacent to the angle and the hypotenuse.
cos(40) = 6/x
cos(40)*x=6/x*x
cos(40)*x=6
cos(40)/cos(40)*x=6/cos(40)
x=6/cos(40)
x=7.83
The value of x is C. 7.8
They way I would do it other than with a calculator would be
27 x (90 - 0.5) which is the same as 27 x 89.5
=> 27 x 90 - 27 x 0.5
27 x 90 is (3 x 9) x 90 or 3 x 9 x 90
9 x 90 = 810
3 x 810 = 2430
Then subtract 27 x 0.5, or 27 / 2
2430 - 27 / 2
=> 2430 - 13.5
= 2416.5
Final answer:
2416.5
Hope I helped :)