Answer:
1)The rocket hit the ground at 
2)The maximum height of the rocket = 12.468 feet
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equation
y = -2 x² + 5 x + 7 ...(i)
Differentiating equation (i) with respective to 'x' , we get
Equating zero
⇒ -4 x +5 =0
⇒ -4 x = -5
⇒
<em> The rocket hit the ground at </em><em></em>
<u><em>Step(ii):</em></u>-
...(ii)
Again differentiating equation (ii) with respective to 'x' , we get
The maximum height at x = 
y = -2 x² + 5 x + 7
<em>The maximum height of the rocket = 12.468 feet</em>
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal × 
where the value of n is 4.
⇒ A = 2000 × 
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × 
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.
Answer:
Step-by-step explanation:
I'll assume that you meant
(8/13) ln 3 = ln h/12
Applying rules of logs, we get:
(8/13) ln 3 = ln h - ln 12
= ln h - ln 3 - ln 4 <= because ln b*c = ln b + ln c
Then (8/13) ln 3 + ln 3 = ln h - ln 4, or
(21/13) ln 3 + ln 4 = ln h
3^(21/13) * 4 = h <= because ln b*c = ln b + ln c
Answer:
104 ft²
Step-by-step explanation:
12² - 4 x (12-2) = 144 - 40 = 104
