Answer:
C. a n =3000(1.05)n-1
Step-by-step explanation:
Arithmetic sequence formula, it is 1.05 because it increases by 1/20th each time. It is n-1 because n-1 is the correct form of arithmetic sequence formulas, without the n-1 it wouldn't work.
Answer:
71s
Step-by-step explanation:
The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.
Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,
(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² = 7s² + 84s + 6²
84s - 13s = 71s, which fills in the blank provided.
The answer is B, because you will have to multiple 42 by 7 to see how much money he will have in 7 weeks and then you will have to subtract 8 × 8.25 to see how much money he spent on his vacation.
The answer is 0.675. 2700:4000 is a ratio that can be expressed as 2700/4000 = 27/40 = 0.675
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
