All categories

3 years ago

Albie's total income is $695.25 in a week

Mathematics

1 answer:

ikadub [295]3 years ago

5 0

Answer:

Step-by-step explanation:

7.5/100= .075

$580000 x .075 = $43,500 commission

You might be interested in

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

4 0

3 years ago

Ben believe the orioles will win only 40% of their games this year if they play 160 games how many games does Ben predict they w

aleksandr82 [10.1K]

The number of games Ben predict Orioles will win this year is 64 games

<h3>How to find percentage?</h3>

Percentage of games Ben believe the orioles will win = 40%
Number of games Orioles played = 160

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

Learn more about percentage:

brainly.com/question/843074

#SPJ1

6 0

2 years ago

This inequality has a symbol:

wlad13 [49]

Answer:

Because you can't divide by zero.

Step-by-step explanation:

If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.

6 0

3 years ago

What is the value of x?

diamong [38]

Using a theorem (yes i forgot the name of the theorem), we know that because the angles opposite of the sides are congruent, the sides must be congruent aswell. Therefore:

3x - 24 = x + 10

Now solve, starting by using the addition and subtraction properties of equality:

3x - 24 + 24 = x + 10 + 24

3x = x + 34

3x - x = x - x + 34

2x = 34

Now, use the division property of equality:

(2x)/2 = (34)/2

x = 17

Therefore, x = 17.

<em>Hope this helps! :)</em>

8 0

3 years ago

Read 2 more answers

3/4 ÷ 1/8

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers