The maximum value can be determined by taking the derivative of the function.
(dh/dt) [h(t)] = h'(x) = -9.8t + 6
Set h'(x) = 0 to find the critical point
-9.8t + 6 = 0
-9.8t = -6
t = 6/9.8
Plug the time back into the function to find the height.
h(6/9.8) = -4.9(6/9.8)^2 + 6(6/9.8) + .6
= 2.4
And I don't understand your second question.
Answer:
$25,193.17
Explanation:
Given:
• Principal Felipe borrowed, P=$8000
,
• Annual Interest Rate, r=16.5%=0.165
,
• Compounding Period, k=12 (Monthly)
,
• Time, t=7 years
We want to determine how much he will owe after 7 years.
In order to carry out this calculation, use the compound interest formula below:

Substitute the values defined above:

Finally, simplify and round to the nearest cent.

After 7 years, Felipe will owe $25,193.17.
Pretty sure it’s D but if it is not then I don’t know