Amanda has $5200 in a savings account that earns 4% simple interest annually. What is the value of her account in 5 years?

The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

Number of cardstocks purchased = x

Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]

Answer:

Step-by-step explanation:

Answer:

14,17, 20

Step-by-step explanation:

Kindly see the picture I have solved it as required

Answer:

919,800

Step-by-step explanation:

To round up, the tens place would have to be either 5 or higher. Since the number in the tens place is 2, which is under 5, it will stay the same.

Answer:

850 people

Step-by-step explanation:

10,200 people in 12 rows

÷ 12 on both sides:

[tex]\frac{10200}{12}[/tex] people in [tex]\frac{12}{12}[/tex] rows

[tex]850[/tex] people in [tex]1[/tex] row.

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]-8-(-6)[/tex]

[tex]=-8-(-6)[/tex]

[tex]=-8+6[/tex]

[tex]=-2[/tex]

The answer is B.

Here's a graph photo!

Hopefully, this helps you!!

[tex]Sokka[/tex]

Explanation:

Start at the point (3,4) which is the tail of the vector. We move 2 units to the right and 4 units up to arrive at (5,8) due to the vector a = <2,4>. Effectively, we're using the translation rule [tex](x,y) \to (x+2,y+4)[/tex]

In other words, we add 2 to the x coordinate and add 4 to the y coordinate of the point (3,4) to move to (5,8)

Step-by-step explanation:

check the attached file

Answer:

O - point

CD- chord

AB- diametre

I dont know PO sorry

Answer:

O is the center.

AB is the diameter.

OP is a radius.

CD is a tangent.

By the way the combination of letters is the two points that it relates too.

Step-by-step explanation:

hope this helps. . .<3

Answer:

volume=300m3

length=5m

width=300cm=300/100=3m

To find: height of tank .

so,

volume=l×b×h

300=5×3×h

300/15=h

finally,h=20m

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

Using angle sum property

[tex]\\ \sf\longmapsto 4x+20+3x+10+2x+30=180[/tex]

[tex]\\ \sf\longmapsto 9x+60=180[/tex]

[tex]\\ \sf\longmapsto 9x=120[/tex]

[tex]\\ \sf\longmapsto x=13.2[/tex]

Answer:

what you men

Step-by-step explanation:

Answer:

This may not be right, but I tried! I believe its 6.

Step-by-step explanation:

Answer:

I can't see the file or I can't open the file

Step-by-step explanation:

The solution to the differential equation will be expressed as [tex]y_c=Ce^{2x}[/tex]

Given the differential equation;

[tex]\frac{d^2y}{dx^2}+2y \frac{dy}{dx} =0[/tex]

Since the right-hand side of the homogenous equation is zero, the differential equation is a homogenous equation

Let [tex]D=\frac{dy}{dx}[/tex]

The differential equation becomes;

[tex]D^2y-2Dy=0\\(D^2-2D)y=0[/tex]

Factorizing the auxiliary equation m² - 2m = 0

m² = 2m

m = 2

Since the auxiliary solution is real and distinct, the solution to the differential equation will be expressed as  [tex]y_c=C_1e^{m_1x} + C_1e^{m_2x} \\[/tex]

Given that m =2, the solution will be expressed as [tex]y_c=Ce^{2x}[/tex]

b) Most linear differential equations have a constant coefficient because they are mostly solved using the quadratic method which is also called the method of quadrature. This means that the solution maybe expressed in integral form.

Learn more here: https://brainly.com/question/13512633

Answer: He sold 1,800 merchandise

Step-by-step explanation: 426 - 300 = 126 ÷0.07 = 1,800

I dont know if im right though

Answer:

(a.)

Step-by-step explanation:

(we talked abt it in the comment haah)

(f o h)(-1) = ...

= f(h(-1))

= f(-1 + 2)

= -2(-1 + 2) - 1

= 2 - 4 - 1

= -2 - 1

= -3

Answer:

3:4 itself.

3:4 itself.

Step-by-step explanation:

3:4 itself.

Answer:

Lower bound: 78.5

Upper bound: 79.5

Step-by-step explanation:

Since it is rounded to the nearest unit, we will subtract 1/2 to get the lower bound, and add 1/2 to get the higher bound.

If it were rounded for example to the nearest first decimal place, the number we will use is going to be 0.1 / 2

Answer:

$2.81

Step-by-step explanation:

8 feet = 2.44 meters

2.44 · $1.15 = $2.81

I hope that this helps!!!

Answer:

c. 2.81

Step-by-step explanation:

Answer:

y = -8x + 2

Step-by-step explanation:

A slope-intercept form equation is y = mx + b where m is the slope and b is the y-intercept. Using this, we can plug in -8 and 2 to create our equation.

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:

  8. x=6; supplementary consecutive interior angles

  10. x = 4; no applicable theorem

Step-by-step explanation:

The marked angles are "consecutive interior" angles. When their sum is 180°, the lines l and m will be parallel.

  (7x -15) +(24x +9) = 180

  31x = 186

  x = 6

Consecutive interior angles being supplementary will make the lines parallel.

__

The sum of the remote interior angles of a triangle is equal to the exterior angle:

  28x = 48 +16x

  12x = 48

  x = 4

The above relation holds regardless of whether line l is parallel to line m. There is no applicable theorem or converse.

_____

Additional comment

Adding the marking shown in the attachment would make the converse of the alternate interior angles theorem applicable to problem 10.

Answer:

so what do i do

Step-by-step explanation:????????????

Answer:

mean = 93

mode(s) = 90 and 94

median = 93

Step-by-step explanation:

[tex]\sf{mean = \frac{90 + 92 + 94 + 91 + 90 + 94 + 95 + 98}{8} }[/tex]

[tex]\sf{mean = \frac{744}{8} }[/tex]

[tex]\bf{mean = 93}[/tex]

.

mode(s) = 90 and 94

.

sort from smallest

90, 90, 91, 92, 94, 94, 95, 98

median :

[tex]\sf{median = \frac{92 + 94}{2} }[/tex]

[tex]\sf{median = \frac{186}{2} }[/tex]

[tex]\bf{median = 93}[/tex]

Answer:

x = 7

Step-by-step explanation:

The difference between the length and width is 3 , then length = x - 3

area (A) of rectangle = length × width

A = x(x - 3) = 28 , distribute parenthesis

x² - 3x = 28 ( subtract 28 from both sides )

x² - 3x - 28 = 0 ← in standard form

(x - 7)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

However, x > 0 , then x = 7

Answer:

Well I assume 220ºC.

Step-by-step explanation:

That is the MAXIMUM temperature of the oven