Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.

Answer:

Step-by-step explanation:

Mark the two points (-1,7) and (1,-1) on the graph.  Then draw a straight line between them.  To determine the equation that goes through these two points, we can use the two given points to find the slope of the line.  The standard form of a straight line equation is

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x = 0).

Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x.  We can use the two points to calculate this:

       Rise (-1-(7) = -8   Run = (1 - (-1) = 2

The slope is therefore (-8/2) or -4.  

y = -4x + b

We can find b by entering either of the two points in y = -4x + b and solve for b.  I'll use (1,-1) since I have my 1's multiplication table memorized

y = -4x + b

-1 = -4(1) + b

b = 3

The straight line equation that connects the two points is

  y = -4x + 3

You can graph this equation (e.g., on DESMOS) to see how it intersects the points.  [Attached]

The coordinates of the y intercept are (0,3).

The coordinate of the y-intercept of the line is (0, 3)

The equation of a line in slope-intercept form is expressed as y = mx + b.

where:

Given the coordinate points (-1, 7) and (1, -1).

Get the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]

Get the y-intercept:

Recall that y = mx + b

Using the coordinate point (1, -1) and m = -4

-1 = -4(1) + b

-1 = -4 + b

b = -1 + 4

b = 3

The equation of the line is y = -4x + 3

The y-intercept occurs at the point where x = 0

y = -4(0) + 3

y = 0 + 3

y = 3

Hence the coordinate of the y-intercept of the line is (0, 3)

Learn  more on y-intercept here: https://brainly.com/question/25722412

[tex]\dfrac{\tfrac 27}8 = \dfrac 2{7 \times 8} = \dfrac 2{56} = \dfrac 1{28} = 1:28[/tex]

Answer:

on what...like brush how do we help u if u don't have a question

Answer:

  C.  x = 3, y = -6

Step-by-step explanation:

You can divide the second equation by 2. Then you have ...

  x +2y = -9

This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:

  (x +2y) -(x -2y) = (-9) -(15)

 4y = -24   ⇒   y = -6

Adding the two equations eliminates y:

  (x -2y) +(x +2y) = (15) +(-9)

  2x = 6   ⇒   x = 3

The solution is (x, y) = (3, -6).

_____

Additional comment

I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).

Answer:

2 imaginary roots

Step-by-step explanation:

The discriminate is the portion of the quadratic equation under the square root

D = b^2 - 4ac

D = 8^2 - 4(2)(16)

D = 64 - 128

D = -64

Since the discriminate is negative the square root will be imaginary

and there will be 2 of them

2 imaginary roots

9514 1404 393

Answer:

Step-by-step explanation:

The discriminant of ax² +bx +c = 0 is b²-4ac. Here, we have ...

  a=2, b=8, c=16

so, the discriminant is 8² -4(2)(16) = 64 -128 = -64

A negative discriminant indicates there are two conjugate complex roots.

Hi!

(5+d)+(-8)=(5+d)-8

Hence, this is the required solution.

~SparklingFlower :)

Answer:6 this is the answer

Answer:

A is the answer

Step-by-step explanation:

Answer:

$14.24

Step-by-step explanation:

[tex]{\huge{\boxed{\sf{Question}}[/tex]

[tex]-1.2= y\div2.4 -1.7[/tex]

Solve for y

[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]

let's put our equation first

[tex]-1.2= y\div2.4 -1.7[/tex]

Flip the equation

[tex]y\div2.4-1.7=-1.2[/tex]

Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]

[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]

[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]

_________________________

[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]

_________________________

[tex]y\div2.4-1.7=-1.2[/tex]

[tex]{\underline{simplify}}[/tex]

[tex]0.416667y-1.7=-1.2[/tex]

add [tex]1.7[/tex] to both sides

[tex]0.416667y=0.5[/tex]

Divide both sides by [tex]0.416667[/tex]

[tex]y=1.2[/tex]

[tex]{\huge{\boxed{\sf{Answer}}}[/tex]

[tex]y[/tex] would equal [tex]1.2[/tex]

Answer:

3a

Step-by-step explanation:

9÷3=3

a³-a²=a¹ or just a

b-b= 0

= 3a

Hope this helped you- have a good day bro cya)

Answer: i think its A

Step-by-step explanation:

Let's say that a is 8, b is 17, and c is x,

Maximum:

a + b > c  

8 + 17 >c  

c < 25

Minimum:

b + c > a  

17 + c > 8  

c > -9

(As it cannot be negative, we will call this 9.)

So, our answer is D as c, x, must be less than 25 and greater than 9.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

C. X-4

Step-by-step explanation:

x^2+x-20

=(x-4)(x+5)

Answer:

C.

Step-by-step explanation:

Sorry I Can't explain because I'm busy right now

Answer:

Step-by-step explanation:

2 things to remember for problems like this :

the sum of all angles in a triangle is always 180 degrees.

the law of sines :

a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.

so, now for the given problems :

4.

x/sin(90) = 12/sin(29)

x/1 = x = 12/sin(29) = 24.75198408...

rounded x = 24.8

5.

the opposite angle of x is

180 - 90 - 16 = 74 degrees.

x/sin(74) = 37/sin(90) = 37

x = 37×sin(74) = 35.56668275...

rounded x = 35.6

6.

the opposite angle of x is

180 - 90 - 58 = 32 degrees.

x/sin(32) = 22/sin(58)

x = 22×sin(32)/sin(58) = 13.74712574...

rounded x = 13.7

7.

the opposite angle of 15 is

180 - 90 - 51 = 39 degrees.

x/sin(51) = 15/sin(39)

x = 15×sin(51)/sin(39) = 18.52345735...

rounded x = 18.5

Answer:

A: 7.016

Step-by-step explanation:

this is the answer. I'm 100% sure.

Answer:

angle one:100 degrees

angle two:70 degrees

Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.

Answer:

Since it is symmetrical, the angles will be the same on both sides.

So EFG = 56*

And 180* - 56* = 124*

And 124* / 2 = 62*

So m<FEG = 62*

Answer:

D- 62

Step-by-step explanation:

Answer: It was 2n-5=3 The other guy was right

Step-by-step explanation: I took the K12 test.

Answer:

slope=8

y-intercept=12

equation y=8x+12

Step-by-step explanation:

not sure if it is a Proportional or not proportional?

Answer: Y=20

Step-by-step explanation:

X is doubled from 3 to 6 meaning that y is also doubled.

Double 10 is 20 so y=20.

Answer:

the total cost would be $ 780.00

Step-by-step explanation:

step by step explanation

Answer:

true

Step-by-step explanation:

Answer:

a function of an angle, or of an abstract quantity, used in trigonometry, including the sine, cosine, tangent, cotangent, secant, and cosecant, and their hyperbolic counterparts.

Step-by-step explanation:

hope this helps

Answer:

   AC = 24

Step-by-step explanation:

DE is the midline of the triangle, parallel to AC. It is half the length of AC, so ...

  2·DE = AC

  2(2x -14) = 3x -15

  4x -28 = 3x -15 . . . . . eliminate parentheses

  x = 13 . . . . . . . . . . . . . add 28-3x to both sides

AC = 3x -15 = 3(13) -15

AC = 24

_____

Additional comment

DE = 2(13) -14 = 12, half the length of AC.

Answer:

8784/61

144#

Mark as a brainlist

Answer:

144

Step-by-step explanation:

i did it

If this is the question in picture below.

Answer:

468

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Because 25 - 9 = 16

No, an object can't be reflected over a line without changing its position.

A Reflection is a transformation representing a flip of a figure.

Given that an object can be Reflected over a line without moving its position,

There are certain rules for reflection of figures,

Using these rules, a point is reflected, so it's not possible for an object to be reflected without changing position.

Hence, an object can't be reflected over a line without changing its position.

For more references on Reflection, click;

https://brainly.com/question/15487308

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