At the time the rocket hits the ground h=0, given that h=-16t²+320t+32
when h=0, our equation will be:
-16t²+320t+32=0
solving the above by completing square method we proceed as follows;
-16t²+320t+32=0
divide though by -16 we get
t²-20t-2=0
t²-20t=2
but
c=(-b/2a)^2
c=(20/2)^2
c=100
hence:
t²-20t+100=100+2
(t-10)(t-10)=102
√(t-10)²=√102
t-10=√102
hence
t=10+/-√102
t~20.1 or -0.1
since it must have taken long, then the answer is 20.1 sec
Answer:
100% of the 2nd monthly payment go toward the repayment of principal.
Step-by-step explanation:
The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: 
× 
= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e 
= $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal
Answer:
The ratio of the areas = the ratio of the squares of the scale factor.
So the area of Z is 3^2 * 11 = 99 sq units.
Answer:
-14/15-1/15v
Step-by-step explanation:
First you make all of the fractions have the common denominator 15.
And then you have -18/15-6/15v+4/15+5/15v
Then you combine like terms to get -14/15-1/15v
Answer:
Step-by-step explanation:
The cost of an adult ticket to the show is $5.5
The cost of a student ticket to the show is $4.25
A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be
2 × 5.5 = $11
It also means that the total cost of 3 student tickets would be
3 × 4.25 = $12.75
The total cost of 2 adult tickets and 3 student tickets would be
11 + 12.75 = $23.75
If the family pays $25, the exact amount of change they should receive is
25 - 23.75 = $1.25
