Lillian invests money in an account paying a simple interest of 6.6% per year. If she invests $160 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?

Answer:

(0,-1),(2,5)

Step-by-step explanation:

3x-y=1

0.5[tex]x^{2}[/tex]+2x-1=y

Substitute the equation of y into the other equation

3x-(0.5[tex]x^{2}[/tex]+2x-1)=1

3x-0.5[tex]x^{2}[/tex]-2x+1=1

collect like terms

-0.5[tex]x^{2}[/tex]+x=0

Solve for x

x(-0.5x+1)=0

0=-0.5x+1

-1=-0.5x

x=2 x=0

Back substitute into the other original equation and solve for y

3(2)-y=1

6-y=1

y=5

(2,5)

3(0)-y=1

-1(-y)=-1(1)

y=-1

(0,-1)

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

Step-by-step explanation:

B. -16 + (-7) ...this is the same as -16-7

The equation of the line is [tex]y=8[/tex]

To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]

[tex]y-y_0=m(x-x_0)[/tex]

For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]

substituting the required values, we have

[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]

The required equation is [tex]y=8[/tex]

Learn more here: https://brainly.com/question/1690609

Answer:

equation : P(x) = 5x+60

Table :

If x (levi sells this many computers)

then y (levi makes this much money)

x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...

y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...

Step-by-step explanation:

This equation can be modeled by P(x) = 5x+60

P= levi's total pay

x = number of computers sold

This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.

Answer:

most models of scientific calculators in degree mode, all you have to do is press "Mode" and then look at the numbers on the screen beside the menu items. Locate the number beside "Deg" or "Degrees" and press it to change the mode of your calculator

Answer:

l: 1

k: 2

Step-by-step explanation:

The slope of a line is "the amount it goes up divided by the amount it goes right".

So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?

In line l, it goes up one grid position for every step to the right, hence the slope is 1.

In line k, it goes up two positions for every step to the right, hence the slope there is 2.

Hope this explains it.

Answer:

Between 3 and 4 hours

Step-by-step explanation:

Let's turn the sentence into an equation, suppose that both trucks will be traveling at a constant rate, let x be the number of hours truck A has been traveling, and let y be the number of hours truck B has been traveling. Then we can set up the equation:

[tex]45x+60y=360[/tex]

Both of these terms must add up to 360 since that will be the point where both trucks will meet. To solve this, we can use a graphing calculator:

(see picture)

Since both trucks left the warehouses at the same time, we need that:  [tex]x=y[/tex]

And the point in the graph that x=y is around 3.42 and 3.44, so we can conclude that both trucks must be traveling for 3-4 hours for them to meet on the road.

I hope this helps.

Answer:

longitudinal

Step-by-step explanation:

Answer:

need to know the dimentions of the room

Step-by-step explanation:

Answer:

The complete and simplified answer to the question what is 6/8 of 5 is:  

3 3/4

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

6 x 5/ 8 x 1  =  30 /8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

30/2 = 15

8/2 = 4

When we put that together, we can see that our complete answer is:  

15/ 4

If you now simplifiy the COMPLETE anwser is:

3 3/4

Answer:

Assuming the 2 in 3x2 is an exponent, then it is binomial.

Step-by-step explanation:

A binomial is an expression with two terms, in this case those two terms are 3x^2 and 5

Answer:

2.binomial

Step-by-step explanation:

3x2=1

5=2

so its a binomial

Step-by-step explanation:

x⁴ + 4x³ - 5x² + x - 3 ÷ x² + x - 3 = x² + 3x - 5

- x⁴ + x³ - 3x²

-------------------------

0 3x³ - 2x² + x - 3

- 3x³ + 3x² - 9x

-------------------------------

0 - 5x² + 10x - 3

- - 5x² - 5x + 15

-------------------------------------

0 15x - 18

the result is therefore

x² + 3x - 5 + (15x - 18)/(x² + x - 3)

Answer:

Isosceles triangle.

Step-by-step explanation:

[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]

ok done. Thank to me :>

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

[tex]T = (1, 8)[/tex]

[tex]E =(3, 8)[/tex]

[tex]X =(6, 2)[/tex]

[tex]A=(3, 2)[/tex]

[tex]S = (1, 4)[/tex]

The area of the pentagon is then calculated using:

[tex]Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|[/tex]

So, we have:

[tex]Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|[/tex]

Simplify the expressions in both brackets

[tex]Area = \frac 12|46 -84|[/tex]

[tex]Area = \frac 12|-38|[/tex]

Remove absolute bracket

[tex]Area = \frac 12 \times 38[/tex]

[tex]Area = 19[/tex]

Hence, the area of the pentagon is 19 square units

Read more about areas at:

https://brainly.com/question/1423568

Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

Answer:5

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

Answer:

I believe it's 56

Hope this helps

Answer:

y = 1.5x + 5.5

Step-by-step explanation:

None of them are correct. The correct answer, y = 1.5x + 5.5, is not listed.

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

Answer:

First one ( top left)

This has an open circle at y = 3 which means the 3 is not included.

Then the y value of the second line equals the x value.

Answer: The wall of the ladder reaches 10.91 feet.

Explanation:

Formulate

√12^2 - 5^2

Evaluate

10.90871

Round

10.90871 ≈ 10.91

Therefore, the answer is 10.91 feet.

Answer:

10.91 feet

Step-by-step explanation:

Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.

See the attachment.

Use the Pythagorean Theorem to solve.

Height = 10.91 feet.

i.e

[tex]\\ \sf{:}\Rrightarrow y+5=-1+5=4[/tex]

New co-ordinates are

Answer:

24%

Step-by-step explanation:

consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5

bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5

to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:

3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%

Answer:

Percentage decrease calculator will show the difference and the percent decrease from one quantity to another.

Step-by-step explanation: