9514 1404 393
Answer:
4254.31
Step-by-step explanation:
The compound interest multiplier is ...
m = (1 +r/n)^(nt) . . . . annual rate r compounded n times per year, t years
For 11% compounded quarterly for 18 years, the multiplier is ...
m = (1 +0.11/4)^(4·18) = 1.0275^72 ≈ 7.0516671
If 30,000 is the future value, then the present value is ...
PV = FV/m = 30,000/7.0516671
PV ≈ 4254.31
The option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
<h3>Sequence and Series </h3>
From the question, we are to determine the option that represents the answer for pictures 6, 8, 10, and 14
In the given diagram,
The first picture requires 6 matches
The 2nd picture requires additional 5 matches
the 3rd picture requires additional 5 matches
and so on
That is
1 → 6
2 → 6 + 5 = 11
3 → 11 + 5 = 16
4 → 16 + 5 = 21
5 → 21 + 5 = 26
6 → 26 + 5 = 31
7 → 31 + 5 = 36
8 → 36 + 5 = 41
9 → 41 + 5 = 46
10 → 46 + 5 = 51
11 → 51 + 5 = 56
12 → 56 + 5 = 61
13 → 61 + 5 = 66
14 → 66 + 5 = 71
Hence, the option that represents the answers for 6, 8, 10, and 14 is the second option- 31, 41, 51, 71
Learn more on Sequence and Series here: brainly.com/question/10321751
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Answer: one angle would be 50 degrees while the other would be 130 degrees.
Step-by-step explanation:
