Answer:
63
Step-by-step explanation:
Each term in a geometric sequence progresses by multiplying a constant (let us name it <u>r</u>).
Let us<u> solve for this constant</u> r in order to find the 13th term.
If the seventh term is 7, the tenth term would be 7*r*r*r, or
. We also happen to know that the 10th term is 21. Let us make a <u>new equation</u>:
![7r^{3} =21\\r^{3}=3\\r= \sqrt[3]{3}](https://tex.z-dn.net/?f=7r%5E%7B3%7D%20%3D21%5C%5Cr%5E%7B3%7D%3D3%5C%5Cr%3D%20%5Csqrt%5B3%5D%7B3%7D)
or, approx. 1.442249570307408
Using the same logic, the 13th term would be 7*r*r*r*r*r*r, or
. We may now <u>substitute</u> what we know, r, into this expression to obtain the 13th term:
![7*\sqrt[3]{3}^{6} = \\7*3^{2}=\\7*9=\\63](https://tex.z-dn.net/?f=7%2A%5Csqrt%5B3%5D%7B3%7D%5E%7B6%7D%20%3D%20%5C%5C7%2A3%5E%7B2%7D%3D%5C%5C7%2A9%3D%5C%5C63)
Therefore, the 13th term of this progression is 63.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
In order to find what fraction describes this percentage, you first need to know that no matter what percentage you are working with, if you want to convert it into a fraction, put the 35 as the numerator and 100 as the denominator. If you still don't know what I mean, 35 at the top of the fraction and 100 at the bottom. Like this; 35/100. Then, you can simplify it by finding a common multiple between 35 and 100. For example, 5 can be divided into 35 and 100. 35 divided by 5 is 7 and 100 divided by 5 is 20. Your result is 7/20, which can further no more be simplified because there are no more common multiples between the two numbers.
Answer:
The least common denominator is 30
Step-by-step explanation:
Answer:
1.25 lawns/hour
Step-by-step explanation:
Answer:
940
Step-by-step explanation:
<em>To find the original price of something that been discount do the following:</em>
- <em>Subtract the discount from 100 to get the percentage of the original price.</em>
- <em>Multiply the final price by 100.</em>
- <em>Divide by the percentage in Step One.</em>
<em>Or we can do the following:</em>
<em>We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:</em>
<em>x · 72/100=x - 263.20</em>
<em>x · 18/25 = x - 263.20</em>
<em>Multiply both sides by 25</em>
<em>18x = 25(x - 263.20)</em>
<em>Open the brackets.</em>
<em>18x = 25x-6580</em>
<em>Add 6580 to each side.</em>
<em>6580 +18x = 25x</em>
<em>Subtract 18x from each side.</em>
<em>6580 = 7x</em>
<em>Subtract 7x from each side.</em>
<em>x = 940</em>
<em>Check Answer:</em>
<em>940 * 72% = 676.80</em>
<em>940 - 676.80=263.20</em>
<em>Hence, the regular price is 940.</em>
<em />
<u><em>~lenvy~</em></u>