Write the equation of the line

An insurance office has 65 employees. If 39 of the employees have cellular phones, what portion of the employees do not have ce

Vsevolod [243]

65-39=26 so 26 employess dont have cellular phones. So 26/65 or in simplified form 2/5

7 0

3 years ago

Read 2 more answers

Write an equivalent expressions 48 + 18x

jeka94

If you factor it, you can get an equation that is equivalent. So take out a 6. that leaves you with 6(8+3x)

8 0

3 years ago

How do I ace a test that I am not prepared for?

Morgarella [4.7K]

You either start studying now or you fake it and guess and get lucky or you cheat

4 0

3 years ago

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as: