Answer: 6456
Step-by-step explanation:
Ratio of yes to no= 7:5
Number if yes= 3766
Since total number of yes is 3766. To find the total number of votes, 3766 / (7/7+5)
= 3766/ (7/12)
= 3766 × 12/7
= 45192/7
= 6456
There were 6456 total votes
This is an equation of exponential decay
y(t) = a b^ t where a is the initial amount
b is the decay factor
t is the time in years
b is found by taking 1 and subtracting the percent it decreases in decimal form
Letting t =4
y(t) = 260 million * ( 1- .011) ^ 4
=248.7473796 million
=24874737.96
Rounding to a whole number
= 24874738
Answer:
Growth
Step-by-step explanation:
If the base (the number in the parentheses) is less then 1 then it is a decay, and if it's larger than 1 it is a growth.
greatest common factor=gcf
least common multule=lcm
with 12 and 16
factors of 12=2 times 2 times 3
factors of 16=2 times 2 times 2 times 2
greates common factor is 2 times 2=4
least common multiple means all factors combined minus repeats or 2 times 2 times 2 times 2 time 3=48
The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.
The Law of Sines tells you
... FL/sin(∠K) = FK/sin(∠L)
Solving for FL, we get
... FL = FK·sin(∠K)/sin(∠L)
... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)
... FL = 2a·sin(105°) ≈ 1.93185a