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3 years ago

3. Find the angle complementary to the angle 80°25′. A. 180° B. 9°35′ C. 90° D. 99°35′

1 answer:

5 0

"Complementary" angles sum to 90°.

Since we are using minutes as well...

80°+d°+25'+m'=90° subtract 80° from both sides

d°+25'+m'=10° subtract 25' from both sides

d°+m'=9°+60'-25'

d°+m'=9°+35'

9°35'

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A scuba diving company currently charges $100per dive. On average, there are 30 customers per day. The company performed a study

Semenov [28]

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write $R=PC$ .

Per price increase is $20. So four price increase is $ $20*4=$80$ . Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, $4*2=8$ customers are reduced. Hence, total customers is $30-8=22$ .

So Total Revenue is:

$R=180*22=3960$

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

$R=(100+2x)(30-2x)=-40x^{2}+400x+3000$

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y). That x value is given as $x=-\frac{b}{2a}$ , where a is the coefficient of $x^{2}$ and b is the coefficient of x. So we have,

$x=-\frac{b}{2a}=- \frac{400}{(2)(-40)}=5$

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be $5*20=100$ . So the price that gives the greatest revenue is $100+100=200$ .

ANSWERS:

A. $3960

B. $R=-40x^{2}+400x+3000$

C. $200

4 0

3 years ago

Sunnydale elementary school is having its annual read-a-thon.the third grader have read 573 books so far.their goal is to read m

Vera_Pavlovna [14]

900-573=327 To reach their goal the least amount of books they need to read is 327

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3 years ago

Write the equation of the line that passes through the given lines (0,-2) and (4,1)

Gala2k [10]

Answer:

y = 3/4x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Define

(0, -2) y-intercept

(4, 1) random point

Step 2: Find slope <em>m</em>

y = 3/4x + b

Step 3: Write linear equation

y = 3/4x - 2

7 0

3 years ago

What where William total fixed variable expenses the first year of college

VARVARA [1.3K]

Since the details are not available, we have provided an overview of William's total fixed and variable expenses for the first year of college.

<h3>What are college costs?</h3>

There are five categories of college costs.

These college costs include tuition, room and board, books and supplies, personal expenses, and transportation.

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This leaves expenses like books and suppliers, personal expenses, and transportation relatively variable.

Thus, William needs to control his variable college costs so that they do not exceed the student loan.

Learn more about college costs at brainly.com/question/11650418

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8 0

2 years ago

Let f(x) = 4x + 3

docker41 [41]

Answer: f(x) = 4x + 3

g(x) = -2x + 5

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(f · g)(5) = (20 + 3)(-10 + 5)

(f · g)(5) = (23)(-5)

(f · g)(5) = -115

7 0

3 years ago