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3 years ago

The owner of real estate agency is looking over the monthly

Mathematics

2 answers:

MatroZZZ [7]3 years ago

8 0

Cool, but we need more information...

cupoosta [38]3 years ago

8 0

Your answer would be monthly income or something of the sort. You didn't give any choices, but in my experiences, the owner of any company looks over the amount of money that comes in and goes out of the company. Your answer might also be expenses.

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calculate the side lengths a and b to two decimal places angle a is 64 angle b is 85 and line ab is 9.3? PLEASE HELP ASAP

qaws [65]

∠C = 180° - (∠A + ∠B) = 180° - (64° + 85°) = 180° - 149° = 31°
$AC= \frac{9.3*sin(85)}{sin(31)} = \frac{9.3*0.9962}{0.515} =17,99 \\ \\ BC=\frac{9.3*sin(64)}{sin(31)} = \frac{9.3*0.8988}{0.515} =16,2$

4 0

3 years ago

Simplify and verify the results for

KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>

(7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

7x⁵ - 35x³ + (8x² - 3)(x² - 5)

Multiply 8x² by x² and -5.

7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

7x⁵ + 8x⁴ - 35x³ - 43x² + 15

<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

[7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

[7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

[875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

[1072][20]

Multiply these two terms together.

21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0

3 years ago

The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$

Now we have everything in order to replace into formula (1):

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

7 0

3 years ago

How many terms of the arithmetic sequence {1,22,43,64,85,…} will give a sum of 2332? Show all steps including the formulas used

MA_775_DIABLO [31]

There's a slight problem with your question, but we'll get to that...

Consecutive terms of the sequence are separated by a fixed difference of 21 (22 = 1 + 21, 43 = 22 + 21, 64 = 43 + 21, and so on), so the n-th term of the sequence, a (n), is given recursively by

• a (1) = 1

• a (n) = a (n - 1) + 21 … … … for n > 1

We can find the explicit rule for the sequence by iterative substitution:

a (2) = a (1) + 21

a (3) = a (2) + 21 = (a (1) + 21) + 21 = a (1) + 2×21

a (4) = a (3) + 21 = (a (1) + 2×21) + 21 = a (1) + 3×21

and so on, with the general pattern

a (n) = a (1) + 21 (n - 1) = 21n - 20

Now, we're told that the sum of some number N of terms in this sequence is 2332. In other words, the N-th partial sum of the sequence is

a (1) + a (2) + a (3) + … + a (N - 1) + a (N) = 2332

or more compactly,

$\displaystyle\sum_{n=1}^N a(n) = 2332$

It's important to note that N must be some positive integer.

Replace a (n) by the explicit rule:

$\displaystyle\sum_{n=1}^N (21n-20) = 2332$

Expand the sum on the left as

$\displaystyle 21 \sum_{n=1}^N n-20\sum_{n=1}^N1 = 2332$

and recall the formulas,

$\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n$

$\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2$

So the sum of the first N terms of a (n) is such that

21 × N (N + 1)/2 - 20N = 2332

Solve for N :

21 (N ² + N) - 40N = 4664

21 N ² - 19 N - 4664 = 0

Now for the problem I mentioned at the start: this polynomial has no rational roots, and instead

N = (19 ± √392,137)/42 ≈ -14.45 or 15.36

so there is no positive integer N for which the first N terms of the sum add up to 2332.

4 0

3 years ago

How do I do this? it doesn't make sense.

yuradex [85]

I think you subtitute de 34 by x not sure

4 0

3 years ago