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2 years ago

Which shows the equation in point-slope form of the line passing through the given point with the given slope?

Mathematics

1 answer:

avanturin [10]2 years ago

3 0

<h2>SOLVING</h2>

$\Large\maltese\underline{\textsf{A. What is Asked}}$

Find the point-slope equation of the line, with the info given

$\Large\maltese\underline{\textsf{This problem has been solved}}$

Formula used, $\bf y-y1=m(x-x1)$

$\bf y-5=13(x-0)}$ | result

$\rule{300}{1.7}$

$\boxed{\bf aesthetic\not101}}$

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The area of the top of the rectangle table is 323 square feet. If the length of the table is19 feet what is the width of the tab

Anit [1.1K]

A=lw, right? So you would take what you know, 323 being a and 19 being l. 323=19w
Divide both sides by 19 leaving you with
323/19=w
17 feet=w

6 0

3 years ago

PLEASE HELP ME!!!!!

Irina18 [472]

Answer:

f(6) = 1

Step-by-step explanation:

Function:

f(x) = -2/3x + 5

f(6) = -2/3(6) + 5

f(6) = -4 + 5

f(6) = 1

4 0

3 years ago

Read 2 more answers

You start at (7,5). You move down 3 units and up 5 units Please

sergey [27]

Answer:

(4,10)

Step-by-step explanation:

7-3= 4

5=5=10

8 0

2 years ago

Read 2 more answers

The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

The rate of return is 8.15%

This is a good investment

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
r: ?
t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0

3 years ago

For safety reasons, 4 different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills

Evgen [1.6K]

Answer:

99.93%

Step-by-step explanation:

Probability of Independent Events

Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.

We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.

We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.

The probability that none of the systems detect the theft is

$P(0)=q^4=0.16^4=0.00065536$

Thus, the probability that at least one of the systems detect the theft is

$P(x\geq1)=1-P(0)=1-0.00065536=0.9993$

That means a 99.93%

3 0

2 years ago