Charlie and Kathy want to borrow $21254 to make some home improvements. Their bank will lend them the money for 9 years at an interest rate of 5.07%. How
much will they pay in interest?

Answer:

A(-8,5)

Step-by-step explanation:

Given two points (-6, 3), and (-10, 7). The midpoint is calculated by averaging the x, and y values of two coordinates. As (-10, 7) is the the first point (x1, y1), and (-6, 3) is the second point (x2, y2).

[tex]midpoint \: of \: (x_{1},y_{1}), \: and \: (x_{2},y_{2}) \\ = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})[/tex]

[tex] midpoint \: of \: (-6,3), \: and \: (-10,7) = (\frac{-10 + -6}{2}, \frac{7 + 3}{2}) \: = (\frac{-16}{2}, \frac{10}{2}) \: = (-8,5)[/tex]

Answer:

ddsdvffgdf gddccd fddf

Answer:

The point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Step-by-step explanation:

Function of graph : f(x)

Rule : f(x)→f(x-c)

When the graph shifts to right by c units

Coordinates (x,y)→(x+c,y)

Rule : f(x)→f(x)+c

When the graph shifts up by c units

Coordinates (x,y)→(x,y+c)

So, Graph f(x-2)+7

Now given graph f(x)

Shift this right by 2 units and then shift up by 7 units

So, f(x)→ f(x-2)+7

Now , Translation of point(4,5)

Using rule :

When shift by 2 units right

(4,5) →(4+2,5)=(6,5)

Now  shift up by 7 units

(6,5) →(6,5+7)=(6,12)

So, the point at (4,5) on the graph of f(x) translates for f(x-2)+7​ is (6,12)

Answer:

12.43ft

Step-by-step explanation:

 From the given diagram, we simply apply the sin rule

According to the sine rule

=

   y is the side y

    y° = (90 - 43) = 47

    z = 17

    z° = 90

Input the parameters and solve;

            [tex]\frac{y}{sin 47} = \frac{17}{sin 90}[/tex]

       ysin 90 = 17 sin 47

         y = 12.43ft

Answer:

Step-by-step explanation:

y=1/2x+2

1/2 is the slope, which means the graph increases by 1/2

the y intercept is how the slope increases

so the slope increase 1/2 +2

The graph of y=1/2x+2 is shown in figure below

Suppose the considered function whose graph is to be made is

f(x)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values

f(x)are plotted on the vertical axis.

They are together plotted on the point

(x,y) = (x, f(x))

This is why we usually write the functions as:

y = f(x)

Given;

y=1/2x+2

Here, 1/2 is the slope, which means the graph increases by 1/2

the y intercept is how the slope increases;

Hence, the slope increase 1/2 +2

The graph of the given function;

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Answer:hahhahahahahahahhaha that sucks were both stupid!!!

Step-by-step explanation:

Answer:34

4

Step-by-step explanation:

Answer:

43602

Step-by-step explanation:

hope this helps :)

Answer:

1. 36°

2. 36°

3. 54°

Step-by-step explanation:

Answer:

yes, true

Step-by-step explanation:

Answer:

the answer is true because they dont intersect

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-1 is the constant in the expression 4x - 1

Answer:

-1

Step-by-step explanation:

as it got no variables to it.

Answer:

y= 2(-4) + 8

hope it helps

Answer:

x = -135/7 or -19.3 (rounded to the tenths)

Step-by-step explanation:

-2(2x+60)-2x=-2(1/5x+6)

First Distribute:

−4x+−120+−2x= −2/5 x+−12

Add Like Terms:

-6x-120=  -2/5 x-12

Add -2/5x to each side:

−28 /5 x−120=−12

Add 120 to each side:

−28 /5 x =108

Multiply by (5/-28):

x = -135/7 or -19.3

Answer:

x = -135/7 or -19.3 (✿◠‿◠)

Answer:

angle V + Angle W = angle U

angle VUF is equal to 94 degrees

Step-by-step explanation:

Answer:

[tex]m=\frac{11+19}{-20+2} \\m=\frac{30}{-18} \\m=\frac{-5}{3}[/tex]

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Complete:  y2 - y1 over x2 - x1 with your given points.

11 - (-19)  =        30

______      ______  

-20 - (-2)  =     -18  

⁻³⁰⁄₁₈ =  ¹⁵⁄₃ = ⁵⁄₁        Simplify to lowest fraction            

Answer:

i would recommend not posting pictures because i cannot see them

Step-by-step explanation:

Answer:

3V/l divide h

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

V = 1/3 lwh

The value of w is 3V/lh

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example:

2 + 3x + 4y = 7 is an expression.

3x + 5 = 4 is an expression.

We have,

V = 1/3 lwh

Multiply 3 on both sides.

3V = lwh

Divide both sides by lh.

3V / lh = w

w = 3V/lh

Thus,

V = 1/3 lwh

The value of w is 3V/lh

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Answer:

The percentage of change is an increase of 12% from the original

Step-by-step explanation:

The percentage of change is a percentage of increase because the new value is greater than the original.

To find the percentage of change, we can divide the new value by the old which will give us the amount it increased by in decimal form, which we can simply multiply by 100 to find percentage:

84/75=1.12

1.12x100 = 112

The new value is 112% of the original, this means that the percentage of change is an increase of 12% from the original.

Hope this helped!

Answer:

increase and 12%

Step-by-step explanation:

84 -75 = 9

9 ÷ original # (75) = 0.12

0.12 x 100 = 12%

Let the function be y = ax + c.

For (-1,8), 8 = a(-1) + c → 8 = - a + c

For (5,6), 6 = a(5) + c → 6 = 5a + c

Subtract one from abother,

2 = - 6a => - 1/3 = a

Hence, 8 = - 1/3 + c → 23/3 = c

Relation is:

y = (-1/3)x + (23/3)

3y = - x + 23

3y = 23 - x

Answer:2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

So;

      x² - y²  = 10 x 4 = 40

Answer:

X=7

Hope this helps, and have a Great Day. You got this!!!

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

Subtract $0.25 by $1.50

$1.50-$0.25=$1.25

Answer:

Independent- c (number of chores)

Dependent- d (number of dollars)

Step-by-step explanation:

Answer:

1680

Step-by-step explanation:

1500÷100=15

15x12 months =180

1500+180=1680

Answer:

A, B, D

Step-by-step explanation:

i just did it on edge

Answer:

its true

Step-by-step explanation:

1 2 4

Answer:

3

Step-by-step explanation:

Plug in -4 as x in the function:

f(x) = x² + 2x - 5

f(-4) = (-4)² + 2(-4) - 5

Simplify:

f(-4) = 16 - 8 - 5

f(-4) = 3

So, f(-4) = 3

Answer:

Friction

Step-by-step explanation:

Answer:

x=40°

Step-by-step explanation:

We have an isosceles triangle RST where the sides RS and ST are congruent, i.e. they have the same length.

One property of isosceles triangles is that the congruent sides form congruent angles with the other side. In other words, the measures of angles R and T are equal.

The sum of the measures of angles R, S, and T is 180°:

[tex]m\angle R+m\angle S+m\angle T =180^\circ[/tex]

Since [tex]m\angle R=2x-10[/tex] , [tex]m\angle T=m\angle R[/tex] and [tex]m\angle S=x[/tex]:

2x-10+x+2x-10 =180

Simplifying:

5x=180+20

Solving:

x=200/5

x=40°