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2 years ago

A price was increasing at a rate of 15% per year.

2 answers:

5 0

The monthly growth rate is the annual growth rate divided by 12, because there are 12 months in a year.

monthly rate = 15% ÷ 12
monthly rate = 15/100 ÷ 12
monthly rate = 15/100 × 1/12
monthly rate = 15/1,200
monthly rate = 1.25/100
monthly rate = 1.25%

The monthly growth rate is 1.25% or approximately 1.3%
Enter 1.3 in the box

Mariulka [41]2 years ago

4 0

Answer:

1.3

Step-by-step explanation:

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Farmer McCoy can plant either corn or soybeans. The probabilities that the next harvest prices will go up, stay the same, or go

Snezhnost [94]

Answer:

McCoy should plant soybeans

Step-by-step explanation:

Thinking process:

Let the two crops be corn and soybeans as indicated.

The profit margin for corn will be $ 30 000. However, the loss will be:

$ 35 000 - $ 30 000 = $ 5 000

For the soybean, the profit margin will be $ 10 000.

The loss will be $ 5 000

The net balance will be given as: $ 5 000 - $ 10 000 = - $ 5 000. (This represents a gain)

Thus, soybean will be more profitable.

4 0

2 years ago

A bookstore is hosts the stars from the Harry Potter

shepuryov [24]

Answer:

5985 can fit in the room!

Step-by-step explanation:

1) 150 * 100 = 15000

2) 6 * 6 = 36

3) 15000 - 36 = 14964

4) 14964 / 2.5 = 5985.6

5) But you can't fit almost half a person inside or create another whole person soo you round down to 5985

3 0

2 years ago

Read 2 more answers

Find a line that lies entirely in the set defined by the equation x2 + y2 − z2 = 1.

RUDIKE [14]

Answer:

$x=1\,,\,y=t\,,\,z=t$

Step-by-step explanation:

A line is a one-dimensional figure that has no thickness and extends infinitely in both directions.

A line segment is a line that has two end-points and a ray is a line that has one end-point.

Given equation is $x^2+y^2-z^2=1$

To find : a line that lies entirely in the set defined by the given equation.

Solution:

Take $x=1\,,\,y=t\,,\,z=t$

Check:

$L.H.S=1^2+t^2-t^2=1+0=1=R.H.S$

Therefore, $x=1\,,\,y=t\,,\,z=t$ satisfy the given equation.

8 0

2 years ago

a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

4 0

2 years ago

A volleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. A t

pychu [463]

Answer:

Step-by-step explanation:

The given function is

$h=-16t^2+12t+6$

The graph of this function is a parabola that opens downwards

The line $h(t)=8$ intersects this parabola, when

$t=0.5,t=0.25$

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.

The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.

When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.

8 0

2 years ago