Answer:
yes 30 is the answer
Step-by-step explanation:
<span>Logarithm form is another way to express a number in exponential (exp.) form. log 8 (2) is the same as 8 (x) = 2 or in words, eight with exp. x equals two. If we take that equation and cube both sides, or raise each side to the power of 3, [8 (x)] with exp. 3 = 2 with exp. 3. This simplifies to 8 (3x) = 8. By definition, 8 is the same as 8 with exp. 1. So the equation is now 8 (3x) = 8 (1). This means 3x = 1. We can simplify to x = 1/3.</span>
If the interest rate is compounded daily, we have the effective interest rate calculated as:
r = (1 + 0.1022/30)^30 -1
r = 0.1074 or 10.74%
Therefore, the effective interest rate if the compounded daily rather than monthly is 10.74-10.22 = 0.52 points higher.
I hope choices must be given in the problem.
I am showing the method to find the equivalent equation of the above equation. You can match with your given choices.
First step is to expand the first term. So,
(x-4)² = (x - 4)(x - 4) Since a²= a*a
= x² - 4x - 4x + 4 * 4 By multiplying.
= x² -8x + 16 Combine the like terms.
So, (x - 4)² - (x -4) - 6
= x² - 8x + 16 - x + 4 - 6
= x² - 9x + 14 Combine the like terms.
So, equivalent equation of the above equation is x² - 9x + 14 = 0.
