Here we use the formula for compound interest given by:
A=p(1+r/100*n)^(nt)
where:
A=amount=
p=principle=12000
r=rate=0.1
n=# terms=2
t=time=10 years
thus;
A=12000(1+0.1/2)^(2*10)
A=31839.6
Consider an absolute value inequality.
For example, 3≤|x-7|
this means that x-7 can be
i) 3, 3.4, 5, 7.5 etc
or ii) -3, -3.2, -4.7 etc since these values in abs value all are ≥3
thus the set of all values in i) is represented by x-7≥3, which means x≥10
and the set of all values in ii) is x-7≤-3, which means x≤4.
Thus, the compound inequality is : x≥10 OR x≤4
an absolute inequality corresponding to this compound inequality is 3≤|x-7|
The answer is Option A.
Scale Factors
If the Scale Factor IS 1, the polygon stays the SAME.
(If an equilateral triangle has a side length of 8 and the scale factor is 1, the sides will stay at 8)
If the Scale Factor is MORE THAN 1, the polygon's sides INCREASE depending on what the scale factor is.
(If a square has a side length of 3 and the scale factor is 4, the sides will increase to 12)
If the Scale Factor is LESS THAN 1, the polygon's sides DECREASE depending on what the scale factor is.
(If a square has a side length of 5 and the scale factor is 1/2, the side lengths will decrease down to 0.5)
Therefore each side length of the new triangle is 4 times shorter than the original (Option A)
Step-by-step explanation:
Leo is 6 years old now.
Max is 6 + 12 = 18 years old now.
Since 18 / 6 = 3, Max is already 3 times as old as Leo.
The answer is 0 years.
