A loan of $23,000 is made at 6.75% interest, compounded annually. After how many years will the amount due reach 36,000 or more?

In the first semester, Jonas took seven tests in his math class. His scores were: 88 81 94 84 100 94 96.

maksim [4K]

The median is the middle-most number. First we need to put the numbers in order from lowest to highest:

81 84 88 94 94 96

The easiest way to find the median is to cross out the first and last number and then continue until you reach the middle.

So cross out 81 and 96:
84 88 94 94 are left.

Cross out 84 and 94:
88 and 94 are left.

Since we are left with 2 different numbers, we need to find the average of them and that’s our median. (88 + 94)/2 = 91

91 is the median.

3 0

3 years ago

If the rate of decrease for the partial pressure of N2H4 in a closed reaction vessel is 76 torr/h , what is the rate of change f

fiasKO [112]

The reaction is missing and it's ;

N2H4 + H2 ---> 2NH3

It asks for the total pressure too.

Answer:

A) Rate of change for NH3 = 152 torr/h

B) The total pressure in the vessel will remain the same.

Step-by-step explanation:

N2H4 + H2 ---> 2NH3

1 mole of N2H4 yields 2 moles of NH3.

From the question, the rate given for N2H4 is 76 torr/h.

Thus, The rate of change for NH3 will be = 2 x 76 = 152 torr/h

Now, on the reaction side, 1 mole of N2H4 reacts with 1 mole of H2. So we have 2 moles on the left hand side.

While on the product side, 2 moles of NH3 are produced.

So the total pressure will remain the same because for every 2 moles on the reaction side, 2 moles are gotten on the product side.

3 0

3 years ago

Consider points A (3, 6) and B (8, 4). Find point C on the x-axis so AC + BC is a

scoray [572]

Answer:

(1,2)

Step-by-step explanation:

the st. lines 3x+4y=5 and 4x-3y=15 interrect at a point A(3, -1. On these linepoints B and C are chosen so that AB= AC. find the posible eqns of the lineBC pathrough the point

6 0

2 years ago

Pls solve part b) iii thanks

Viktor [21]

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees