Answer:
Total minutes = 47 Minutes
Step-by-step explanation:
A telephone company in germany charges 0.12 euro per minute to call the US after a connection fee of 1.50 euro
Expressing the statement in mathematical terms;
Cost = 0.12x + 1.5 where x represens minutes
if the cost of the call was 7.14 euro, total minutes = ?
7.14 = 0.12x + 1.5
7.14 - 1.5 = 0.12x
5.64 = 0.12x
x = 5.64 / 0.12 = 47
Total minutes = 47 Minutes
<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
Answer:
Step-by-step explanation:
hope this helps
Answer:
![x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]](https://tex.z-dn.net/?f=x%3D%28243%29log_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D)
Step-by-step explanation:
you have the following formula:
To solve this equation you use the following properties:
Thne, by using this propwerty in the equation (1) you obtain for x
![log_{(\frac{1}{81})}(\frac{1}{81})^{\frac{x}{243}}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\\frac{x}{243}=log_{\frac{1}{81}}[(\frac{1}{81})-1]\\\\x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]](https://tex.z-dn.net/?f=log_%7B%28%5Cfrac%7B1%7D%7B81%7D%29%7D%28%5Cfrac%7B1%7D%7B81%7D%29%5E%7B%5Cfrac%7Bx%7D%7B243%7D%7D%3Dlog_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B243%7D%3Dlog_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D%5C%5C%5C%5Cx%3D%28243%29log_%7B%5Cfrac%7B1%7D%7B81%7D%7D%5B%28%5Cfrac%7B1%7D%7B81%7D%29-1%5D)
True they could be congruent by ASA
