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
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<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
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<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
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<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
To solve these problems, you usually have a favor the numerator. For example, on #7, label your terms, 1 from m^2 is A, -6m from -6 is B and your constant, 8, is C. Next you have to find out what two numbers can be multiplied to give you for C term but can also add together to give you your B term. For this specific problem, -4 and -2 gives you 8 and also adds to be -6. After that, you put your -4 and -2 into their own separate parentheses along with the M from M^2. It should look this like: (m-4)(m-2)/(m-2). Now you notice that the binomial on the bottom and one of the binomials on top is the exact same, so you would cancel that out and your answer would be (m-4).
So, all 8 numbers added up would equal 80. and all 6 numbers added up would equal 72. The subtract them. 80-72 is 8. Then divide by 2 because there are 2 numbers. 8/2 is 4. (4 is your answer)
18/30 simplifies into 6/10 which then is put in decimal form of 0.6