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2 years ago

Charlie invested $12,000 into an

Mathematics

1 answer:

IrinaK [193]2 years ago

3 0

Answer:

$1800

Step-by-step explanation:

12000(1+0.05x 3)

= 13800

13800 - 12000

$1800

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The revenue each season from tickets at the theme part is represented by t(x) = 3x. The cost to pay the employees each season is

Triss [41]

Answer: The profit after 5 seasons is $239.94.

Step-by-step explanation:

Since we have given that

Revenue function is given by

$t(x)=3^x$

Cost function is given by

$r(x)=1.25^x$

So, We need to find the total profit:

As we know the formula for profit:

Profit = Revenue - Cost

$P(x)=t(x)-r(x)\\\\P(x)=3^x-1.25^x$

We need to evaluate the profit after five seasons:

$P(5)=3^5-1.25^5\\\\P(5)=\$239.94$

Hence, the profit after 5 seasons is $239.94.

5 0

2 years ago

Read 2 more answers

Three less than triple a number is the same as the number plus 57. What is the number?

Annette [7]

First thing you want to do, is reverse the question.

57/3 - 3.

57/3 = 19.

19 - 3.

Your answer is 16.

7 0

2 years ago

Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hou

polet [3.4K]

The correct answer would be 1.25 inspections an hour because you just need to divide 10 by 8 and you should get 1.25. Hope this helps.

3 0

2 years ago

Read 2 more answers

What is the equation for

WARRIOR [948]

The equation of a line that is perpendicular to the given line is y = –4x – 16.

Solution:

The equation of a line given is y = 0.25x – 7

Slope of the given line( $m_1$ ) = 0.25

Let $m_2$ be the slope of the perpendicular line.

Passes through the point (–6, 8).

If two lines are perpendicular then the product of the slopes equal to –1.

$\Rightarrow m_1 \cdot m_2=-1$

$\Rightarrow 0.25\cdot m_2=-1$

$\Rightarrow m_2=\frac{-1}{0.25}$

$\Rightarrow m_2=-4$

Point-slope intercept formula:

$y-y_1=m(x-x_1)$

$x_1=-6, y_1=8$ and $m=-4$

Substitute these in the formula, we get

$y-8=-4(x-(-6))$

$y-8=-4(x+6)$

$y-8=-4x-24$

Add 8 on both sides of the equation.

$y-8+8=-4x-24+8$

$y=-4x-16$

Hence the equation of a line that is perpendicular to the given line is

y = –4x – 16

5 0

2 years ago

Can you tell what the graph of a line will look like without finding points or graphing it?

Anna71 [15]

Answer:

Yes. Use a chart to calculate the equation set and you will be able to determine the slope of such graph.

Step-by-step explanation:

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2 years ago