You invest $2,800 at a 6 nnual interest rate, stated as an apr. interest is compounded monthly. how much will you have in 1 year? in 1.5 years?

Answer:

Step-by-step explanation:

It means she made a rectangle. 2cm wide, 5cm high.

As given the sum of squares of three consecutive integers,  four digits which never occur in the ones place are 1,3,6,8.

As given,

Let x -1 , x , x +1 are three consecutive integers.

Sum of the squares of three consecutive integers

= (x -1)² +x² + (x+1)²

= x² -2x +1 +x² +x² +2x +1

=3x² +2

Now substitute x = 0,1,2,3,4,5,6,7,8,9

Sum = 2, 5,14,29, 50, 77, 110, 149, 194, 245

Four digit never occur at ones place = 1,3,6,8

Therefore, as given the sum of squares of three consecutive integers,  four digits which never occur in the ones place are 1,3,6,8.

Learn more about integers here

brainly.com/question/15276410

#SPJ4

The inequality will be 50x ≤ 25000 - 11000 and the value of x will be x ≤ 402.

From the information, the shipping container will be used to transport several 50-kilogram crates across the country by rail and the greatest weight that can be loaded into the container is 25000 kilograms.

Let the number of 50-kilogram crates that can be loaded into the shipping container be represented by x.

This will be:

50(x) + 11000 ≤ 25000

50x+11000 ≤ 25000

Collect like terms

50x ≤ 25000 - 11000

50x ≤ 14000

Divide

50x/50 ≤ 14000 / 50

x ≤ 402

Learn more about inequalities on:

brainly.com/question/11613554

#SPJ1

Answer:

7 (x + 1)

Hope this helps :)

Step-by-step explanation:

The equation above shows the statement, "Seven times the sum of a number and 1."

Answer: (4, -4)

Step-by-step explanation: In the fourth quadrant, x = positive and y = negative, if you count the squares, 4 would be on the top and four would align to T on the bottom. Since x goes first, it would result in (4, -4)

The true statements regarding this situation are as follows:

The diagram is missing, but it is given on the graph at the end of the answer. (not drawn to scale)

The alternate interior angles are between the two parallel lines, one in each side, and they are congruent.

Hence:

Angles 3 and 6 are congruent because they are alternate interior angles.

Straight angles are angles of 180º on a line, hence:

Angles 1 and 3 add to 180º as they are straight angles.

Since angles 3 and 6 are congruent(alternate interior), angles 1 and 6 will also be supplementary, as they add to 180º.

A similar problem, in which a transversal cuts two parallel lines, is given at the end of the answer.

#SPJ1

if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). [tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]

Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:

sin² t +  cos² t = 1

For an angle t in Quadrant IV, we know sin t is positive.

From the trig identity sin² t +  cos² t = 1

we can also write as:

sin t + cos t:

Now,

sin² t + cos² t = 1

sin² t   = 1 -  cos² t

sin t = ±√( 1 -  cos² t)

As noted above,

sin t is positive for t in the Quadrant IV, and so we have

sin t = √( 1 -  cos² t)

We know that

[tex]\cos t=\frac{1}{\sec t}[/tex]

So, the equation will be

[tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]

To know more about Trig Identities visit:

https://brainly.com/question/10376944

#SPJ4

Answer:

-80

Step-by-step explanation:

This question involves order of operations.

Since all operators are multiply, we will evaluate them from left to right.

5 × -8 × 2

= - 40 x 2

= - 80

Answer:

-80

Step-by-step explanation:

The point at 1/5 of the coordinate points is (-11/5, -7/5)

The coordinates are given as:

(-3, -2) to (1, 1)?

The location 1/5 can be represented as

m : n = 1 : 4

The location of the point is then calculated as:

P = 1/5 * (mx2 + nx1, my2 + ny1)

This gives

P = 1/5 * (1 * 1 + 4 * -3, 1 * 1 + 4 * -2)

Evaluate

P = 1/5 * (-11, -7)

This gives

P = (-11/5, -7/5)

Hence, the point at 1/5 of the coordinate points is (-11/5, -7/5)

Read more about line segment ratio at:

https://brainly.com/question/12959377

#SPJ1

Answer:

x [tex]\geq[/tex] -40.6

Step-by-step explanation:

9/5x + 23 [tex]\geq[/tex] -50 (subtract 23 over to other side)

9/5x [tex]\geq[/tex] -73 (multiply by 5)

9x [tex]\geq[/tex] -365 (divide by 9)

x [tex]\geq[/tex] -40.6

Answer: Kaelan spends more money. Kaelan spends 0.25 cents more.

Step-by-step explanation:please give brainliest if right.

The equation of the parabola that models the given situation is y=-1/6 (x-3)^2 +1.5.

Define parabola and its types.

A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.

To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by [tex]$\mathrm{y}=a(x-h)^2+\mathrm{k}$[/tex]or [tex]$\mathrm{x}=a(y-k)^2+\mathrm{h}$[/tex], where [tex]$(\mathrm{h}, \mathrm{k})$[/tex] denotes the vertex. A regular parabola's standard equation is y^2= 4ax

Now, the equation of parabola for the given situation is calculated as:

y=a(x-3)^2 +1.5

Now, put the value of x=0 and y=0.

0=a(0-3)^2+1.5

0=9 a+1.5

-9 a=1.5

a=-1.5 / 9

a=-1 / 6

Now, put the value of a in equation[tex]$\mathrm{y}=a(x-3)^2+1.5$[/tex] to obtain:

y=-1/6 (x-3)^2 +1.5

To know more about parabola visit:

brainly.com/question/4074088

#SPJ1

[tex]\bold{H \: e \: y \: o \: !}[/tex]

__________________

[tex]\mathtt{\sqrt{\frac{9x^3}{4y^2}}}[/tex]

__________________

Apply radical rule: [tex]\mathtt{=\sqrt{\frac{a}{b}}} \: = \: \mathtt{\sqrt{\frac{a}{b}}},[/tex] assuming [tex]\mathtt{a \geq 0, \: b \: \leq 0}[/tex]

[tex]\mathtt{=\sqrt{\frac{9x^3}{4y^2}}}[/tex]

__________________

Simplify: [tex]\mathtt{\sqrt{9x^3}} \: : \: \mathtt{3x\sqrt{x}}}[/tex]

[tex]\mathtt{=\sqrt{\frac{3x\sqrt{x}}{4y^2}}}[/tex]

__________________

Simplify: [tex]\mathtt{\sqrt{4y^2}} \: : \: \mathtt{2y}[/tex]

[tex]\mathtt{\frac{3x\sqrt{x}}{2y}}[/tex]

Hope It Helps!

A n s w e r e d : -  ᴀᴅʀɪᴀɴɴᴏɪʀ

The equation of the line in point-slope form is: y - 5 = -x + 2.

The equation of the line can be modelled as y - b = m(x - a), in point-slope form..

Given the following:

(2, 5) and (-1, 8), find the slope

Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)

Slope of the line (m) = 3/-3

Slope of the line (m) = -1

Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):

y - 5 = -1(x - 2)

y - 5 = -x + 2

Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.

Learn more about the point-slope form on:

https://brainly.com/question/24907633

#SPJ4

Answer:

See below

Step-by-step explanation:

Plug in each number for x to test each equation

X=1

Y=-3x + 22 = - 3(1) + 22 = 19

X=3

Y= -3(3) + 22 = - 9 + 22 = 13

And so on, if they match the y row, then it's the correct answer

The options that are not functions from those given are; Options B and C.

The vertical line test is a method that is used to determine given relation is a function or not.

A) This table can be classified as a function because the input x-values have independent y-values as output. The only repeated output value is 7. Thus, we can say that it is likely a quadratic function with x-intercept as x = 2.

B) This cannot be a function because the same input values which is 6 has 2 different output values.

C) Similar to B above, this curve cannot be a function because some input values have 2 output values which is not a property of a function.

D) This is a function because of the wave and it is likely a trigonometric function.

Read more about Functions at; https://brainly.com/question/11643657

#SPJ1

Answer:11/57

Step-by-step explanation:

According to the given statement  the perimeter of triangle xyz  = P = (3√5 + 5) units.

The analysis of geometry involving coordinate points is known as coordinate geometry (also known as analytical geometry). Finding this same distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and calculating the area of a triangle throughout the Cartesian plane are all feasible using coordinate geometry.

The distance of ZY

Z(1,0)

Y(3,1)

Substituting the the value if formula we get:

d = √((1 - 0)² + (3 - 1)²)

dZY = √5 units

Now ,

distance between XY

X(-1 , 4)

Y(3 , 1)

d = √((1 - 4)² + (3 + 1)²)

dZY = √25 units

      = 5 units.

The perimeter of the triangle:

P = ZX + ZY + XY

adding all that value we get:

P = (2√5 + √5 + 5)

P = (3√5 + 5) units.

According to the given statement  the perimeter of triangle xyz  = P = (3√5 + 5) units.

To know more about coordinate geometry visit:

https://brainly.com/question/28182497

#SPJ4

Answer:

9. In banking, the account balance is the amount of money you have available in your checking or savings account. Your account balance is the net amount available to you after all deposits and credits have been balanced with any charges or debits.

10 . The temperature of water in a glass if room temperature is 21 degrees Celsius if a glass is standing one in that room, because room temperature is commonly given as 20 to 22 degrees Celsius, however, if the air in the room goes through temperature variations,then a body of water will heat up or cool down,then the temperature of

the water in the glass tends to average out those temperature variations.

The inequality representing the graph shown in figure is -

y < 6x + 3.

[Refer to the graph plotted at the end for confirmation]

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. The L.H.S and R.H.S of an inequality are not equal.

Given is a graph of an inequality plotted on graph paper.

The following steps are to be followed in order to find the inequality -

STEP 1 - Determining inequality type.

From the graph, it can be seen that the the border line dividing the green shaded area from the remaining graph is uniform i.e. not dashed. Therefore, the inequality is a strict inequality which means that, either inequality sign is '>' or '<'. The sign cannot be ≤ or ≥.

STEP 2 - Determining the inequality equation.

From the graph, it can be seen that the y - intercept of line is (0, 3). The line cuts the x - axis at coordinates (- 0.5, 0). Therefore, it can be concluded that -

y - intercept = 3

x - intercept = - 0.5

Then, the slope of line will be = [m] = | 3 - 0/0 -(- 0.5) | = |3/0.5| = 6

The general equation of line with slope 'm' and y - intercept is -

y = mx + c

y = 6x + 3

Therefore, y = 6x + 3 is the equation of straight line.

STEP 3 - Determining the side to be shaded.

For this, take the origin (0, 0) and test it with both the inequalities '>' and '<'.

For inequality → greater than ' > ' -

y > 6x + 3

Put (x, y) as (0, 0), we get -

0 > 6 x 0 + 3

0 > 3

Which is false.

For inequality → less than ' < ' -

y < 6x + 3

Put (x, y) as (0, 0), we get -

0 < 6 x 0 + 3

0 < 3

which is true.

So our final inequality is → y < 6x + 3.

Therefore, the inequality representing the graph shown in figure is -

y < 6x + 3.

[The graph for this inequality is attached below]

To solve more questions on graphical inequalities, visit the link below-

https://brainly.com/question/23724758

#SPJ1

Answer:x=20

Step-by-step explanation:You would keep x by itself and you would add 17+3 which would equal 20.So therefore the answer would be x=20.

Answer:

20%

Step-by-step explanation:

Cross sectional data are collected from several entities at the same point in time.

In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.

You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.

In conclusion, the correct option is A.

Learn more about data on:

https://brainly.com/question/14827117

#SPJ1

Answer:

s/2πh

Step-by-step explanation:

dividing both sides by 2 will result in s/2 = πrh

dividing both sides by π will result in s/2π = rh

dividing both sides by h results in s/2πh = r

comment if you need further explanation

(no brainliest needed)

0.45  is the probability someone who studies very hard for the bar passe.

What is probability?

Odds of passing = 1.22  = p ( passing)/ P(not passing)

P(Pass)/P( fail)  = 1.22

p (pass) = 1.22 p (fail)

P(pass) + P(fail) = 1

1.22 p (fail) + p(fail) = 1

2.22 p(fail) = 1

P (fail) = 0.4505   ≅ 0.45

Learn more about probability

brainly.com/question/11234923

#SPJ4

The simplification of the number 2√15 is 7.74.

Squaring a number would be the inverse operation of square rooting it.

The given expression is;

= 2√15

For finding the value of √15; use long division method.

√15 = 3.87

Put the value;

=  2 × 3.87

=  7.74.

Thus, the value of the expression is found as 7.74.

To know more about the square root, here

https://brainly.com/question/11388449

#SPJ9

Answer:

you will need 23 square feet because if you add it all up that's what you get

Answer:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

Answer:

Rational

Step-by-step explanation:

Pi 9/25 = 1.131

Decimals are usually rational