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2 years ago

Check the attached image

Mathematics

1 answer:

Stella [2.4K]2 years ago

6 0

Answer:

B

Step-by-step explanation:

Note: This doesn’t go to all systems of equation
++++++++++++++++++++++++++++++++++

Here we are given a graph where there’s basically a inequality and we are trying to find out: “Which point is a solution to the inequality?”

Answer + explanation:

Answer: O B. (0, 5)

It would be (0, 5)

Explanation:

Any point inside the shaded area of the inequality would be a solution to the system of equation

Note: The type of inequality that we are taking a look at is a dash line

What do I mean by that? That any point that is in the dash CANNOT be a solution

Therefore our answer is B

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Brockman Corporation's earnings per share were $3.50 last year, and its growth rate during the prior 5 years was 7.0% per year.

fredd [130]

Answer:

The number of years it would take is $n = 2 \ years$

Step-by-step explanation:

From the question we are told that

The earning per share is $P =$ $3.50

The growth rate is r = 7.0%

The duration is $t = 5 \ years$

Generally the future value is mathematically represented as

$A = P(1 + \frac{r}{100} )^n$

Where P is the present value

n is the time period

A is the future value which is mathematically evaluated as

$A = 3 * P$

substituting value

$A = 3 * 3.50$

$A =$ $ 10.5 0

$A = P(1 + \frac{r}{100} )^n$

$10.5 = 3.5(1 + \frac{7}{100} )^n$

$10.5 = 3.225^n$

Taking log of both sides

$log 10.5 = nlog 3.225$

$1.0212 = n(0.5085)$

$n = \frac{1.0212}{(0.5085)}$

$n = 2 \ years$

4 0

3 years ago

Points B, D, E and F lie on a circle.

goldfiish [28.3K]

Please upload the figure too

3 0

2 years ago

Read 2 more answers

poizon [28]

Answer:

4:3

Step-by-step explanation:

24/8=3 there are 3 blue beads to __ purple beads

32/8=4 there are __ blue beads to 4 purple beads

there are 3 blue beads to 4 purple beads

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2 years ago

The degree of the product is the <br> of the degrees of the factors.

Svet_ta [14]

Answer:

Sum

Step-by-step explanation:

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2 years ago

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

zaharov [31]

Answer:

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.

__________________________________________________________

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: