Answer:
- S(t) = 149999(1.06)^t
- $225543
Step-by-step explanation:
- Initial value is $149999
- Increase rate is 6% per year = 1.06 times
<u>The model of the growth is:</u>
- S(t) = 149999(1.06)^t, where S- amount of annual sales, t- time in years, 1.06- growth rate per year
<u>Annual sales after 7 years:</u>
- S(7) = 149999(1.06)^7 = $225543
Answer:
Option (A)
Step-by-step explanation:
It has been given in this question that sign telling path has a 2% grade.
2% grade means a rise of 2 meters for a horizontal change of 100 m (As given in the figure attached).
All the trigonometric ratios for the angle θ between the path and the horizontal are,
Sinθ = 
Cosθ = 
tanθ = 
Since measures of the opposite side and adjacent sides are given
Therefore, tangent ratio will be applied to get the measure of the angle,
tanθ = 
θ = 
Option (A) will be the answer.
A function is positive if it lies above the x axis.
This function is positive before x = -4, i.e. over the interval 
It is negative elsewhere, i.e. over the interval 
So, the only correct option is the second one.
Answer:
Step-by-step explanation:
We can do this the easy way and just set up an inequality and let the factoring do the work for us. The inequality will look like this:
We will move the constant over and get
and when you factor this you get that
3 < t < 4
Between 3 and 4 seconds is where the projectile reaches a height higher than 192 feet. With a little more work and some calculus you can find the max height to be 196 feet.
Answer:
7.157894736842105263
Step-by-step explanation:
(calculator)