Answer:
the fourth option
9, 30, 93, 282, 849
Step-by-step explanation:
a1 = 9
based on the sequence definition
a2 = 3×a1 + 3 = 3×9 + 3 = 27 + 3 = 30
the only answer option with a2=30 is the fourth one. all others must be therefore wrong.
check
a3 = 3×a2 + 3 = 3×30 + 3 = 93
a4 = 3×a3 + 3 = 3×93 + 3 = 282
a5 = 3×a4 + 3 = 3×282 + 3 = 849
confirmed.
Options :
a.) P=1.005Po
b.) P=1.02Po
c.) P=Po(0.02/4)
d.) P=Po(4.02/4)
e.) P=Po(1+ 0.02/4)
Answer:
a.) P=1.005Po
d.) e.) P=Po(1+ 0.02/4)
Step-by-step explanation:
From the compound interest formula:
P = P0(1 + r/n)^t
Rate = 2% = 2/100 = 0.02
n = Number of compounding times per period, quarterly ; n = (12 /3) months
P = P0(1 + 0.02/4)^1
P = p0(1 + 0.02/4)
Simplifying further :
P = P0(1 + 0.005)
P = p0(1.005)
1/2
2/5 is 4/10, and 1/10 makes 5/10, which is 1/2
