To see if a pair of ratios is proportional... you need to compute for its cross products. If the cross products are equal then they are proportional.
a/b = c/d where ad = bc
a) 4/9 = 16/45 ⇒ 4*45 = 9*16 ⇒ 180 = 144 NOT PROPORTIONAL
b) 5/12 = 25/144 ⇒ 5*144 = 12*25 ⇒ 720 = 300 NOT PROPORTIONAL
c) 12/18 = 18/27 ⇒ 12*27 = 18*18 ⇒ 324 = 324 PROPORTIONAL
d)15/20 = 7/10 ⇒ 15*10 = 20*7 ⇒ 150 = 140 NOT PROPORTIONAL
You start 5/105
Divide the numerator and denominator both by five to get 1/21
If it decreases at 4% every year, then its value becomes:
100% - 4% = 96% = 96/100 = 0.96
At the end of the 1 year its value becomes: 150*(0.96)
At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²
At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³
So similarly at the end of 12 years, its value becomes 150*(0.96)¹²
=50*(0.96)¹² simplify with calculator.
<span>≈ 91.91
Value at the end of 12 years becomes ≈ $</span><span>91.91
I hope this helps.
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Answer:
y=5 or y=−5 it does not matter either one
Step-by-step explanation:
25=y2
Step 1: Subtract y^2 from both sides.
25−y2=y2−y2
−y2+25=0
Step 2: Subtract 25 from both sides.
−y2+25−25=0−25
−y2=−25
Step 3: Divide both sides by -1.
−y2
−1
=
−25
−1
y2=25
Step 4: Take square root.
y=±√25
y=5 or y=−5
Answer:
√2 and √3
Step-by-step explanation:
