For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.
Answer:

Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-intercept
In this problem we have


substitute and solve for b



The equation of the line is equal to

Answer: Original Price: $5
Step-by-step explanation:
x+0.2x=6
1.2x=6
x=5
Original Price: $5
Answer: $ 3462.03
Step-by-step explanation:
The exponential equation for growth (compounded continuously) is given by :-

, where P= Present value
r= growth rate ( in decimal)
t= time
As per given , we have
P=$1900, r = 6% =0.06 and t= 10
Substitute all the values in the above equation , we get


[To the nearest cent]
Hence, the balance in the account after 10 years = $ 3462.03
Answer:
320
Step-by-step explanation:
(45*3.5)+(65*2.5)=320