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3 years ago

Consider this Revenue Advertising Expense situation.

Mathematics

2 answers:

Dmitrij [34]3 years ago

7 0

Answer:

C. Package C: Php 32,000.00

Step-by-step explanation:

<u>Given function</u>

P = −50x³ + 2400x² − 2000, 0 ≤ x ≤ 32

x is the amount spent on advertising (in thousands of pesos).

Substitute x with 8, 16 and 32 and solve for P.

<u>The greatest value of P is at: </u>

x = 32 ( Php 32000.00)

and the value is

P = 817200.00

Another method is graphing.

See the attached picture for graphical solution.

Serhud [2]3 years ago

4 0

Answer:

Package C: Php 32,000.00

Step-by-step explanation:

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If one tosses a coin three times, write dow nthe possible observed number of heads and their probabilities

seropon [69]

You need to find the probability of Heads, Heads, Heads in 3 tosses;

P(HHH)= (1/2)(1/2)(1/2) <-- each toss has 2 possibilities and heads is one
P(HHH)=1/8

Therefore, the probability of flipping 3 heads on a fair coin is 1/8

Hope I helped :)

6 0

3 years ago

I need help with this does anyone understand this?

soldier1979 [14.2K]

Answer:

Let y = f(x)

$= > y = \frac{19}{ {x}^{3} }$

$= > {x}^{3} = \frac{19}{y}$

$= > x = \sqrt[ 3]{ \frac{19}{y} }$

${f}^{ - 1} (x) = \frac{ \sqrt[3]{19} }{ \sqrt[3]{x} }$

<h2>option A</h2>

4 0

3 years ago

State the slope of the line perpendicular to the line -2x+5y=12

defon

Answer:

- 5/2

Step-by-step explanation:

Arrange this line equation into y = mx + b form m = slope

y = 2/5x + 12/5

then perpindicular line = - 1/m = - 1/ (2/5) = - 5/2

5 0

2 years ago

Determine the approximate circumference of a circle with diameter 18 units.

Sphinxa [80]

Answer: 56.549 or 56.5

Explanation:

C= (pie) 3.14 * d = 2 * 3.14 * r

D= 18

C = 3.14 * 18 = 18 * 3.14

C = 56.549 or 56.5

8 0

3 years ago

What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

5 0

4 years ago