Hello! For this question, we are compounding. The formula for compounding is P(1 + r)^t, where P = initial amount, r = rate, and t = time in years. In this problem, the rate is 1.2%. 1.2% is 0.012 in decimal form. Let's add 1 to that. 1 + 0.012 is 1.012. That part is done. Next, we raise it to the 7th power, because 2008 to 2015 is 7 years apart. 1.012^7 is 1.08708521101. This is a long decimal, but do not delete it from your calculator. Now, we multiply that number by 6.68 billion, which is 6,680,000,000 in standard form. When you do that, you get 7,261,729,209.52 or 7,261,729,210 when rounded to the nearest whole number. There. The world population will be 7,261,729,210 by 2015.
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
which is equivalent to
Remember PEMDAS is the order of operations. parenthesis,exponents,multiply,divide,add,subtract. so -8x-4x is -12x. now simplified the problem is 3(9-12x) + 8(3x+4)=11 . now I would distribute the numbers before the parentheses and it becomes 27-36x + 24x+32 =11 . now combine like terms. 59-12x =11 . subtract 59 on both sides. -12x=-48. divide -12 on both sides. x=4. :-)
Answer:
(x-6) (2x+1)
Step-by-step explanation:
1) move everything over to the left side, so subtract 11x and 6.
2x^2 -11x - 6 = 0
2)multiply 2(a term) with -6 (c term)
x^2 -11x -12
3) factor and find what multiples to -12 and adds up to -11. in this case its -12 and positive 1
(x-12) (x+1)
4) divide -12 and 1 by the original a term (2)
(x-6) (x+1/2)
5) move the denominator of 2 over to the x.
(x-6) (2x+1)
Answer:
Step-by-step explanation:
6x+14=50
(6x is hourly wage, x being the hours, 14 is the amount he started with, and 50 is what he needs)
6x=36
x=6 hours
