MATHEMATICS COLLEGE

An investment project involves an immediate outlay of $8 million. The net cash flows received at the end of years 1, 2, and 3 will be $3 million, $4 million, and $2 million. A 10% discount rate is applicable so that the present value factors for years 1, 2, and 3 are 0.9091, 0.8264, and 0.7513. The NPV of the investment will be: (a) (b) (c) (d) $1 million $9 million $0.46 million $7.54 million

Answers

Answer 1

Answer:

Answer:

(c) 0.46 million

Step-by-step explanation:

As provided immediate cash outlay = $8 million.

This will represent cash outflow at period 0, as it is made immediately, no time period has lapsed.

Cash inflows as provided and the respective present value factor are:

Year Cash Inflow Factor Discounted Value

1 $3 million 0.9091 $2,727,300

2 $4 million 0.8264 $3,305,600

3 $2 million 0.7513 $1,502,600

Total present value of cash inflow = $7,535,500

Therefore, net present value = $7,535,500 - $8,000,000 = - $464,500

That is - 0.46 million

Correct option is

(c) 0.46 million

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Answers

Answer:

there is the answer to do

The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?OA. Rx) = (x - 1)2
OB. Rx) = (x + 1)2
OC. Rx) = -1(x - 1)
OD. Rx) = -1(x + 1)2
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Answers

Considering it's y-intercept and vertex, the equation of the parabola is given by:

$y = (x - 1)^2$

What is the equation of a parabola given it’s vertex?

The equation of a quadratic function, of vertex (h,k), is given by:

$y = a(x - h)^2 + k$

In which a is the leading coefficient.

In this problem, the vertex is (1,0), hence h = 1, k = 0 and:

$y = a(x - 1)^2$

The y-intercept is of 1, hence, when x = 0, y = 1, so:

$y = a(x - 1)^2$

$1 = a(0 - 1)^2$

$a = 1$

Hence, the equation is:

$y = (x - 1)^2$

More can be learned about the equation of a parabola at brainly.com/question/24737967

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (1, 0) , thus

y = a(x - 1)² + 0

To find a substitute the coordinates of the y- intercept (0, 1) into the equation

1 = a(- 1)² = a , thus

a = 1

y = (x - 1)² → A

Subject: writing equations
Fake answers-reported cuz I’m rly tryna pass this shi.

Answers

Answer:

1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12

Step-by-step explanation:

What is the maximum height of the basketball when the player passes the ball to someone? Initially, the ball moves at a speed of 12m/sec at an angle with respect to the horizontal of 45 degrees. Is it possible that other player standing 8m away is able to catch the ball without any bounces?

Answers

Answer with explanation:

Since the motion of the ball is projectile motion we shall use the equations for projectile motion.

The maximum height achieved by the projectile is given by

$h_(max)=(v_(o)^(2)sin^(2)(\theta ))/(2g)$

Applying the values we get

$h_(max)=(12^(2)* sin^(2)(45))/(2* 9.81)\n\nh_(max)=3.669m$

The range of the projectile is given by

$R=(v_(o)^(2)sin(2\theta ))/(2g)$

Applying values we get

$R=(12^(2)* sin(2* 45 ))/(2* 9.81)\n\nR=7.339m$

thus the maximum horizontal distance reached by the ball equals 7.339 meters after which it bounces thus a person standing 8 meters away will not be able to catch it.

(The height of the players is not taken into account since no info is given about their height.)

PLS HURRY use the graph to answer the question. Which table of ordered pairs shows a proportional relationship? x 1 12
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Answers

Both lines on the graph show proportional relationships. You want to choose the table that has both of its points on the same line. That would be the 4th one:

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What is the equation of this line in slope intercept from?

Answers

The correct answer should be B: y = -3x + 2.

Since the line crosses the y axis at 2, your y-intercept should be 2. Using rise over run you can compare the equations to the graph. If you convert 3x to a fraction, it would be 3/1x. Since the line is going down 3 and the rise of the y = -3x + 2 is -3, that part is correct. The line also moves over 1 unit, so the run is 1, therefore the correct slope would be -3 or -3/1. Now if you combine what you have it should be y = -3x - 2, which is the same equation as B.

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