Show me the working out to: 48 week course, 12 hours a week. Must attend 80% of the class to pass. How many days can one have off?

Answers

Answer 1

Answer: If you would like to know how many days, weeks can one have off, you can calculate this using the following steps:

48 week course * 12 hours a week = 48 * 12 = 576 hours in total

80% of the class = 80% of 576 hours = 80% * 576 = 80/100 * 576 = 460.8 hours

576 hours in total - 460.8 hours = 576 - 460.8 = 115.2 hours

115.2 hours / 12 hours a week = 115.2 / 12 = 9.6 weeks

You can have 9.6 weeks off.

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The value of Jennifer's stock portfolio (in dollars) is given by the function f(t) = -3t +72t + 5000, where t is the time in months since she opened the account. After how many months will her portfolio be at a maximum? What is the maximum value of the portfolio?

Answers

Answer:

a) The portfolio will be at maximum after 12 months (1 year)

b) The maximum value of the portfolio is $5432

Step-by-step explanation:

The function that models Jennifer's stock portfolio (in dollars) is $f(t)=-3t^2+72t+5000$ , where t is the time in months since she opened the account.

We complete the square to obtain this function in vertex form:

Factor -3 from the first two terms

$f(t)=-3(t^2-24t)+5000$ .

Add the zero pairs -3(+144),-3(-144)

$f(t)=-3(t^2-24t+144)+5000+-3(-144)$ .

Factor the perfect square trinomial and simplify.

$f(t)=-3(t-12)^2+5432$ .

The vertex of this function is (h,k)=(12,5432)

a) The portfolio will be at maximum when t=12, the h-value of the vertex

b) The maximum value of the portfolio is the k-value of the vertex which is 5432

Katie says when n=3 the answer to 4n2=144jack says when n=3 the answer to 4n2=36who is correct and why?

Answers

JACK IS CORRECT.

4n²= 36 when n=3, not 144.

It is because you have to power up first, then you should multiply. But Katie did the opposite, so she was wrong.

PLEASE SOMEONE HELP ME!!!!!!!!

Answers

Answer:

The slope is -4

Step-by-step explanation:

To find the slope in this equation you first need to find the difference of y.

2 + (-4) = -2

-2 + (-4) = -6

so the difference of y is -4

Then you find the difference of x

0 + 1 = 1

1 + 1 = 2

So, the difference of x is 1

slope is rise over run (rise meaning the y-axis and run meaning the x-axis)

so the slope is -4/1

For which function is the ordered pair (5, 10) not a solution?y = 2x
y = x + 5
y = 15 - x
y = x - 5

Answers

Y=15-X (5=15-10) ; Y=X-5 (5=10-5)

y=x-5

Substituting 5 for the value of x gives y=0

How do I work out this problem, How many ways can the letters in the word "WISCONSIN" be arranged?

Answers

This is a typical case of permutation of elements

Formula is:

$\boxed{P_n=n!}$

Permutation of n elements is equal to n!

So:

$P_9=9!=362,880 \ ways$

Eli plans to repaint some classroom bookcases. He has 12 galnt. All of the bookcases are the same size and each requires 3/2 gallon of paint. How many bookcases will he be able to paint?

Answers

Answer:

8 bookcases

Step-by-step explanation:

12 / (3/2) = (12*2)/3 = 8

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Can the square of an integer be a negative number

-3+4(2X-5)=2(3X-1)+2X

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