Hello,
f(x)=2x^2-3x+4
f(3a)=2(3a)^2-3*(3a)+4=2*9a²-9a+4=18a²-9a+4
2[(∛8)²+1/8*16]
(∛8)² = (∛8) x (∛8) = (∛64) = 4
1/8 *16 = 16/8 = 2
Total expression = 2 * (4+2)= 12
Answer:
The correct answer is a. $2275.28; b. 17.04 years
Step-by-step explanation:
Principal to be invested is $2000
Interest rate (r) per year is 6.5 quarterly.
Interest is calculated compoundly.
a. Time (t) for the investment is given to be 2 years.
Amount after two years is = Principal ×
where the value of n is 4.
⇒ A = 2000 × 
⇒ A = $2275.28.
b. Now the value of A is given to be triple the principal = $ (3 × 2000).
Therefore we need to find the value of t.
⇒ 3 × 2000 = 2000 × 
⇒ ㏑ 3 = 4t × ㏑ ( 1.01625)
⇒ t = 17.04
Therefore it would take 17.04 years for the principal to triple.