Maya will deposit $1,650 in an account that earns 5% simple interest every year. Her brother, James, will deposit $1,600 in an account that earns 8% interest compounded annually. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two siblings' accounts after four years

Answer:

The system of inequalities is -2x + y > 0    -x + y ≥ 0

Step-by-step explanation:

The form of the equation of a line is y = m x + b, where

The line passes through the origin, then

Let us look at the graph to find the correct answer

∵ One of the lines are solid and the other is dashed

∵ The shaded area is over the two lines

∴ The signs of the two inequalities are ≥ and >

∵ The two lines pass through the origin

→ That means the y-intercepts are 0

∴ The form of the inequalities are y ≥ m[tex]_{1}[/tex] x and y > m[tex]_{2}[/tex]

There are only two answers that have these forms, so we must find the slope of each line

∵ m = [tex]\frac{y2-y1}{x2-x1}[/tex] , (x1, y1) and (x2, y2) are two points on the line

∵ The solid line passes through points (0, 0) and (2, 2)

∴ m[tex]_{1}[/tex] = [tex]\frac{2-0}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

→ Substitute it in the form of the equation

∴ y ≥ 1(x)

∴ y ≥ x

→ Subtract x from both sides

∴ -x + y ≥ 0

∵ The dashed line passes through points (0, 0) and (1, 2)

∴ m[tex]_{2}[/tex] = [tex]\frac{2-0}{1-0}[/tex] = [tex]\frac{2}{1}[/tex] = 2

→ Substitute it in the form of the equation

∴ y > 2(x)

∴ y > 2x

→ Subtract 2x from both sides

∴ -2x + y > 0

The system of inequalities is -2x + y > 0    -x + y ≥ 0

Answer:

The system of inequalities is -2x + y > 0    -x + y ≥ 0

Step-by-step explanation:

i did it

Answer:

x=0.6, y=1.6

Step-by-step explanation:

Multiply the first equation by 2 and the second equation by 3, so we can cancel out the y terms:

4x+6y=12

21x-6y=3

Add these 2 equations together:

25x=15

x=0.6

Now, to solve for y, plug x back into any of the equations above:

2(0.6)+3y=6

1.2+3y=6

3y=4.8

y=1.6

Answer:

Below in bold.

Step-by-step explanation:

2x + 3y = 6             Multiply by 2:

7x – 2y = 1             Multiply by 3:

4x + 6y = 12

21x - 6y = 3              Adding:

25x = 15

x = 0.6.                      Substitute x = 0.6 into the first equation:

2*0.6 + 3y = 6

3y = 6 - 1.2 = 4.8

y = 1.6.

Answer:

Step-by-step explanation:

A

Answer:

x=40/3 or x=13.3

Step-by-step explanation:

Answer:

graph it on -1/2

Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know

Answer:

Angle x = 12

Angle y = 49

Property = Isosceles triangles

Answer:

0.8

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

y=x+2

Step-by-step explanation:

:)

Answer:

3,750 miles

Step-by-step explanation:

Because one inch is 1250 miles so time that by three you get 3,750

Answer:

P is the set of problems whose solution times are proportional to polynomials involving N's. ... NP (which stands for nondeterministic polynomial time) is the set of problems whose solutions can be verified in polynomial time. But as far as anyone can tell, many of those problems take exponential time to solve.

Step-by-step explanation:

YW!!!

Answer:

Step-by-step explanation:

The directrix is at the same distance from the vertex as the focus but on the opposite side of the vertex.

x coordinate the same for a focus and a vertex (4) means the parabola opens up or down and the directrix is parallel to the x-axis.

y coordinate of the focus greater than y coordinate of the vertex means the parabola opens up and the directrix lays below the vertex.

-1-(-5) = - 1 + 5 = 4

so: - 5 - 4 = -9 is the y coordinate of points of the directrix

Answer:

[tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Step-by-step explanation:

From Function Theory, we know that a function is a relation in which all domain elements are not related to at least two different elements from range. Which means that [tex]x \in \mathbb{R}-\{1,2,3\}[/tex], that is, that [tex]x[/tex] is a real number different to 1, 2 and 3.

Hence, we conclude that [tex]x[/tex] must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Answer:

An equation of the line with the given information with

m = 4 and point A(-1, -5) is:

Step-by-step explanation:

As the equation of a line in point-slope form is given by:

[tex]y-y_1=m\left(y-x_1\right)[/tex]

where m is the slope.

Given:

Substituting the values in the equation of a line in point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)[/tex]

[tex]y+5=4\left(x+1\right)[/tex]

subtract 5 from both the sides

[tex]y+5-5=4\left(x+1\right)-5[/tex]

[tex]y=4x-1[/tex]

Therefore, an equation of the line with the given information

with m = 4 and point A(-1, -5) is:

Answer:

[tex]4p+3[/tex]

Step-by-step explanation:

All this question is asking you to do is simplify the given expression by combining like terms.

The point of combining like terms is that you can only combine, well, like terms. Like terms are terms that have the same variables and are raised to the same power. This means that in this case, we can't combine [tex]4[/tex] and [tex]6[/tex] because [tex]4[/tex] is attached to a variable. However, we can combine 6 and -3 because they are like terms; neither is attached to a variable. So, you end up with [tex]4p+3[/tex].

I hope this helps!

Answer: 9

Step-by-step explanation:

To solve this problem, we need to use our order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

6÷2(1+2)           [parenthesis]

6÷2(3)               [multiply/divide from left to right]

3(3)                   [multiply]

9

Now, we know that the answer is 9.

Answer:

x=30

Step-by-step explanation: First we would have to find the two angles of the corner of the triangle. 55° in the bottom left because of verticle angles. And 180-120= 60. And 60+55=115. 180-115=65. 65-5= 60. 60/2= 30. So x=30. (Sorry ik its sloppy) :)

Answer:

16

Step-by-step explanation:

Jane is selling handmade bows at $5.25 each

A woman came and spent $84 buying bows

Therefore the number of bows bought by the woman can be calculated as follows

= 84/5.25

= 16

Hence the woman bought 16 bows

Answer:

C. [tex] d = \frac{at^2}{2} [/tex]

Step-by-step explanation:

Given:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Required:

Make d the subject of the formula.

SOLUTION:

[tex] t = \sqrt{\frac{2d}{a}} [/tex]

Square both sides

[tex] t^2 = (\sqrt{\frac{2d}{a}})^2 [/tex]

[tex] t^2 = \frac{2d}{a} [/tex]

Multiply both sides by a

[tex] a*t^2 = \frac{2d}{a}*a [/tex]

[tex] at^2 = 2d [/tex]

Divide both sides by 2

[tex] \frac{at^2}{2} = \frac{2d}{2} [/tex]

[tex] \frac{at^2}{2} = d [/tex]

[tex] d = \frac{at^2}{2} [/tex]

Answer:

1155

Step-by-step explanation:

165 × 7 = 1155

i hink this is the answert

Answer:

i=f

ii= 3-1/20

iii=3.43234

iv=a

v=12

Step-by-step explanation:

Answer:

The percent change is 60

[tex]60% [/tex]

Answer: 60% increase

Step-by-step explanation:

Answer:

16in or 1ft 4in

Step-by-step explanation:

Answer:

Y = Mx + B

Step-by-step explanation:

I think it's ur answer.