Hello!
The answer for A is:

The answer for B is: The rocket will hit the lake surface in 5 seconds.
<h2>Why?</h2>
Defining the terms:

So, replacing it in the quadratic equation (it's given to you in the exercise)\\



We are working with a quadratic equation, so we will have two possible results,

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.
Have a nice day!
Listed price = $1.4 million
Down payment = 20% of $1.4 million = 0.2 x 1,400,000 = 280,000
Amount left to pay = $1.4 million - 280,000 = $1,120,000
Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / r
where: PV = $1,120,000
r = 5% = 0.05
t = 12
n = 30 years.
1,120,000 = P(1 - (1 + 0.05/12)^-(12 x 30)) / 0.05
1,120,000 x 0.05 = P(1 - (1 + 1/240)^-360)
56,000 = P(1 - 0.2238)
P = 56,000 / 0.7761 = 72,148.83
Therefore, the monthly payment is $72,148.83
The answer is 12 because 4^2 is 16 minus 4 is 12
Answer:
Sergeant, Tobie, Bandit, Smokey, Sally
Step-by-step explanation:
Answer:
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
Step-by-step explanation:
Total earned = 15,385
Adults = $25
Children = $15
Let
Adults = A
Children = C
The number of adults who attendee the show was 41 more than the number of children who attended the show
A = C + 41
25A + 15C = 15,385
Substitute
A = C + 41
25(C+41) + 15C = 15,385
25C + 1,025 + 15C = 15,385
40C + 1,025 = 15,385
40C = 15,385 - 1,025
40C = 14,360
Divide both sides by 40
C = 14,360 / 40
= 359
C = 359
Substitute C = 359 into
A = C + 41
A = 359 + 41
= 400
A = 400
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759