In January, you deposit $16 in your checking account. Each month, you deposit $15 more than you did the month before. How much m
2 answers:
Answer:
<h2>$151</h2>Step-by-step explanation:
This problem is about a arithmetic sequence, which is obtained by summing a term which is called "difference". In this case, we need to find the tenth term of the arithmetic sequence, because that's the term assigned for October. The formula of an arithmetic sequence is
Where:
Replacing values, we have
Therefore, on October you will have $151 if you deposit $15 more each month, beginning with $16.
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The first step for solving this equation is to determine the defined range.
, x ≠ 1
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
= 5
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-![\sqrt[4]{5}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B5%7D)
Separate the solutions.
x = , x ≠ 1
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)
Remember that when the denominators of both fractions are the same,, you need to set the numerators equal. This will look like the following:
Take the root of both sides of the equation and remember to use both positive and negative roots.
x +/-
Separate the solutions.
x =
x = -
Check if the solution is in the defined range.
x =
x = -
This means that the final solution to your question are the following:
x =
x = -
Let me know if you have any further questions.
:)