Answer:

Step-by-step explanation:
The function is 
Changing functional notation of a(m) to y:

Now, interchanging m and y:

Now, solving for y:
![e^{0.423y}=\frac{m}{0.6735}\\ln[e^{0.423y}]=ln[\frac{m}{0.6735}]\\0.423y=ln(\frac{m}{0.6735})\\y=\frac{ln(\frac{m}{0.6735})}{0.423}](https://tex.z-dn.net/?f=e%5E%7B0.423y%7D%3D%5Cfrac%7Bm%7D%7B0.6735%7D%5C%5Cln%5Be%5E%7B0.423y%7D%5D%3Dln%5B%5Cfrac%7Bm%7D%7B0.6735%7D%5D%5C%5C0.423y%3Dln%28%5Cfrac%7Bm%7D%7B0.6735%7D%29%5C%5Cy%3D%5Cfrac%7Bln%28%5Cfrac%7Bm%7D%7B0.6735%7D%29%7D%7B0.423%7D)
Thus, the inverse function is:

Answer:
We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Step-by-step explanation:
Given
Principle P = $2500
Interest rate r = 5% = 0.05
Time period t = 8 years
To determine
Accrue Amount A = ?
Using the compound interest equation

where:
A represents the Accrue Amount
P represents the Principal Amount
r represents the interest rate
t represents the time period in years
n represents the number of compounding periods per unit t
Important tip:
- Given that the interest is compounded 6 times each year, therefore, the value of n = 6.
now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation



∵ 
$
Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.
Yes; you are correct.
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The correct answer is:
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Answer choice: [C]: " x³ − 9x² + 23x <span>− 12 " .
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Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
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(x − 4) (x² <span>− 5x + 3) =
x * x</span>² = x³ <span>−
x * 5x = 5x</span>² +
x * 3 = 3x <span>−
4 * x</span>² = 4x² <span>−
-4 * 5x = -20x +
-4 * 3 = -12;
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</span> (x − 4) (x² − 5x + 3) =
x³ − 5x² + 3x −4x² − (-20x) + (-12) ;
= x³ − 5x² + 3x −4x² + 20x − 12 ;
= x³ − 5x² − 4x² + 3x + 20x − 12 ;
= x³ − 9x² + 23x − 12 ; which is:
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Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
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To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.The z*-score for a 90% confidence level is 1.645.The margin of error is 0.20.The confidence interval is 48.3 to 48.7.48.8 is not within the confidence interval.