It would be A because -2 times +6 equals -12
Answer:
3/2
Step-by-step explanation:
Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3
Slope 2 perpendicular to Slope 1 :
-1 ÷ -⅔ = 3/2
Answer: 67/9 or 7 4/9
Step-by-step explanation:
Answer: 27
Step-by-step explanation:
The given sequence : 13, 24, 35, ....
Here, first term : a= 13
Common difference: d=24-13 =11
The nth term of arithmetic sequence is given by :-

It is given that the nth term is 299, so put

Subtract 13 from both sides , we get

Divide both sides by 11, we get

Add 1 on both sides , we get

Hence, the value of n= 27
The point is to find the growth rate. The compound formula is:
P=A(1+ growth rate)ⁿ, where A is the initial Value & P the new value after n years:
P₂₀₀₃ =P₂₀₀₂ (1+ growth rate)¹ (the period "n" from 2002 to 2003 being 1 year)
38400 = 32000(1+growth rate)¹
38400 / 32000 - 1= growth rate & growth rate = 1/5 = 0.2
You will balso find the same growth rate for:
P₂₀₀₄ = P₂₀₀₃(1+ growth rate)¹
P₂₀₀₅ = P₂₀₀₄((1+ growth rate)¹
between 2015 & 2002 THERE ARE 14 YEARS:
P₂₀₁₅ = P₂₀₀₂(1+0.2)¹⁴ & P₂₀₁₅ = 32000(1+02)¹⁴ = 410,854