Answer:
(30,35,0)
Step-by-step explanation:
We are given that
The velocity of particle,
Substitute 
The tangent line at t=3 is given by
Now, substitute t=4
Hence, the position of particle at 
=(30,35,0)
Answer:
Step-by-step explanation:
list of prime numbers from 1-21
2,3,5,7,11,13,17,19
he has 21 students
the only numbers he can divide by is 3 and 7
21/3=7
21/7=3
Answer:
1.584
Step-by-step explanation:
1.584 = 3.96 × 0.4
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
