1. 3/5
2. 15
3. 1/15
4. 1 2/3
From the Arithmetic Information given, Pr = 0.049375 ≠ -8.050625 ≠ 0.0325 See explanation below.
<h3>
What are the step by steps solution to the questions above?</h3>
First, lets us restate the question properly. We have
Pr = 1 - ((6*12+6)/80)² = 1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) = 1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
Note that there are three equals signs. So lets divide the problem according and solve for the different parts.
Lets 1 - ((6*12+6)/80)² ............A
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) .............B; and
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6² ........C
Solving for A we have
1 - (78/80)²
= 1 - (0.975)²
= 1 - 0.950625
A = 0.049375
Solving for B we have
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400)
= 1- (14,256/1600) - (216/1600) - (36/6400)
= 1 - 8.91 - 0.135 - 0.005625
B = -8.050625
Solving for C we have
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
= 1 - 0.005625 * 144 - 0.001875 * 12 * 6 - 0.00015625 * 144
= 0.0325
In summary we can state that:
A = 0.049375
B = -8.050625
C = 0.0325
Given that there were no abstract quantities, we can state that
Pr = A ≠ B ≠C or
Pr = 0.049375 ≠ -8.050625 ≠ 0.0325
Learn more about equations with equal signs at
brainly.com/question/18924248
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Tavius would earn his best value if he invests in a three-year certificate of deposit with a nominal interest rate of 4 percent.
Tavius would invest in the option that yields the highest interest. This is the best value. In order to determine which option is the best, the interest rate of each option has to be determined.
<em><u>Interest rate of the first option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 2 = $150
<em><u /></em>
<em><u>Interest rate of the second option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.03 x 1 = $75
<em><u /></em>
<em><u>Interest rate of the third option</u></em>
Interest earned = amount invested x time x interest rate
$2500 x 0.04 x 3 = $300
<em><u /></em>
<em><u>Interest rate of the fourth option</u></em>
FV = P x (1 + r) n
$2500 x (1.03) = $75
A similar question was answered here: brainly.com/question/24748787?referrer=searchResults
Answer:
a
Step-by-step explanation:
follows geometric sequence. starting value is 1/3 and is multiplied by 1/3 every time
Hope this helps have a nice day