An investor invests $525 in stock. For each month following, the stock increased at a rate of $25 per
month
Identify the slope of the linear relationship. Explain what the slope represents in the context of the
problem
• identify the y-intercept of the linear relationship. Explain what the y-intercept represents in the
context of the problem.
Create a model/build the function/write the equation in slope-intercept form to represent the total
value of the stock, f (2), based on the number of months, I.

Similar shapes may or may not be congruent

The length of DE is 42 units

The given parameters are:

[tex]\mathbf{AC = 84}[/tex]

[tex]\mathbf{BA = 2BD}[/tex] --- Because DE is at the midpoint

The equivalent ratio is then represented as:

[tex]\mathbf{BD : DE = BA : AC}[/tex]

Substitute [tex]\mathbf{BA = 2BD}[/tex]

[tex]\mathbf{BD : DE = 2BD : AC}[/tex]

Express as fraction

[tex]\mathbf{\frac{DE}{BD }= \frac{AC}{2BD }}[/tex]

Make DE the subject

[tex]\mathbf{DE= \frac{AC}{2BD } \times BD}[/tex]

[tex]\mathbf{DE= \frac{AC}{2 }}[/tex]

Substitute 84 for AC

[tex]\mathbf{DE= \frac{84}{2 }}[/tex]

[tex]\mathbf{DE= 42}[/tex]

Hence, the length of DE is 42 units

Read more about similar shapes at:

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Answer:

a)  and e)

Step-by-step explanation:

7 * 1/2 = 3.5

3.5 / 2 = 1.75

? = 1.75

a) 2 * 1.75 = 7 * 1/2 (correct!)

b) 7 * 1/2 * 1.75 = 2 (wrong!)

c) 2 * 7 * 1/2 = 1.75 (wrong!)

d) 1.75 * 7 * 1/2 = 2 (wrong! this is the b) backwards)

e) 1.75 * 2 = 7 * 1/2 (correct! this is the a) backwards)

Answer:

x = 2

So the value of x is 2

Answer:

15 and 45

Step-by-step explanation:

15*3=45

15+45=60

hope this helps!

Answer:

Exact Form:  2 √ 3 , 3 √ 3 , 5 √ 2

[tex] \sqrt{12} \\ = \sqrt{4 \times 3} \\ = \sqrt{2 \times 2 \times 3} \\ = \boxed{ 2 \sqrt{3} }[/tex]

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

[tex] \sqrt{27} \\ = \sqrt{9 \times 3} \\ = \sqrt{3 \times 3 \times 3} \\ \boxed{3 \sqrt{3} }[/tex]

﹋﹋﹋﹋﹋﹋﹋﹋﹋﹋

[tex] \sqrt{50} \\ = \sqrt{5 \times 10} \\ = \sqrt{5 \times 5 \times 2} \\ = \boxed{5 \sqrt{2} }[/tex]

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

The earning of the salesperson is an illustration of a linear function.

The possible functions in the two scenarios are: [tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]

The function is given as:

[tex]\mathbf{I(s) = 0.1s + 2000}[/tex]

When the base salary is increased, a possible function is:

[tex]\mathbf{I(s) = 0.1s + 2500}[/tex]

This is so, because 2500 is greater than 2000

When the commission rate is decreased, a possible function is:

[tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]

This is so, because 0.05 is less than 0.1

So, the possible functions in the two scenarios are:

[tex]\mathbf{I(s) = 0.1s + 2500}[/tex] and [tex]\mathbf{I(s) = 0.05s + 2000}\\[/tex]

See attachment for the graphs of both functions

Read more about linear equations at:

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Answer:

3pi/2

Step-by-step explanation:

(4) 3pi/8 =3pi/2

Answer:

2/20 or 0.1

Step-by-step explanation:

So we are given this data:

Tomato = 2

Chicken = 3

Cheese = 2

Potato = 2

Beef = 1

Total Chances (Sum Of All)

Total = 10

Beef is 1

To get beef soup one time it would be 1/10

what about 2 times

we can just multiply by 2*

so 1  / 10 * 2 = 2 / 20 or 0.1

The Answer would be 2/20 or 0.1

Answer:

10/21

Step-by-step explanation:

Number of minutes required for printing 21 pages: 10

So, number of minutes required for printing 1 page

= 10/21

(= 0.47 = 0.5 [approximately])

Answer:

Step-by-step explanation:

Answer:

A Translation 4 units leftwards followed by a reflection across the x-axis.

Step-by-step explanation:

he transformations are:

Translation 4 units leftwards.

Reflection across the x-axis.

You can deduct this transformations by using one vertex. Notice that E(4, -9) and E'(0, 9). You can observe that the transformed coordinate has the inverse y-coordinate, which indicates a x axis reflection. Also, it was shifted 4 units leftwards only.

Answer:

122°F

Step-by-step explanation:

F=(50×9/5)+32

= 122°F

Answer:

standard form is {Ax+By=c}

as mentioned above the given equation is not in {Ax+By=c}..

hence it's not in standard form

Answer:

ax+by=c so no

Step-by-step explanation:

Answer:

7344 (yo i haven't done this since like 5th grade so i dont know if its right)

Step-by-step explanation:

800 increase by %2 is 816

816 x 9 = 7344

Answer:

The area is 49/12 or 4 1/12

Step-by-step explanation:

The area of a triangle is:

a = 1/2 × base × height

a = 1/2 × 3 1/2 × 2 1/3 (4 2/3 is not the height!)

a = 1/2 x 7/2 x 7/3 (I converted all the fractions into improper fractions)

a = 49/12 (1 × 7 × 7 = 49, 2 × 2 × 3 = 12)

You can convert it back to a mixed number:

49/12 = 4 1/12

Hope this helps!

Answer:

7. F=24N

8. P=16N

Step-by-step explanation:

the sum of all forces will equals 0

Answer:

$115.73

Step-by-step explanation:

10.30×5=51.50

8.99×3=26.97

51.50+26.97+29.99=108.46

108.46+6.7%

108.46+7.27=115.73

Answer:

Step 1: Calculate

We calculate the square root of 23 to be:

√23 = 4.79583152331272

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

4.79

Step 3: Round

Round 4.79 so you only have one digit after the decimal point to get the answer:

4.8

To check that the answer is correct, use your calculator to confirm that 4.82 is about 23.

The negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

Number which are formed by multiplying a number with itself once are called perfect square numbers.

Now the given number is,

negative square root of 23

Thus we have, [tex]-\sqrt{23}[/tex]

So the value of [tex]-\sqrt{23}[/tex]  is -4.79

To round to the nearest tenth, so the digit at the tenth place is 7 and digit at right of 7 is 9 which is greater than 5 so roundup the digit.

Thus we get,
[tex]-\sqrt{23}[/tex] = 4.8

Thus, this point will lie between 4 and 5 and more closer to 5.

Thus, the negative square root of 23 to the nearest tenth will lie between 4 and 5 on the number line and more closer to 5.

Learn more about perfect square here :

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#SPJ2

Answer:

120

Step-by-step explanation:

Given arithmetic sequence

3,5,7,9,.........,21

The first term a=3 & a common difference d=5−3=7−5=⋯=2

If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as

l=a+(n−1)d

21=3+(n−1)2

n=10

hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula

Sn=n2(a+l)

S10=102(3+21)

=120

Using quadratic function concepts, it is found that:

1) The equation is [tex]y = -0.08x^2 + 4x[/tex]

2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A quadratic equation has the following format:

[tex]y = ax^2 + bx + c[/tex]

In this problem:

Item 1:

The vertex is: [tex]V(x_v,y_v)[/tex], in which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, it is (25,50). Thus:

[tex]-\frac{b}{2a} = 25[/tex]

[tex]-b = 50a[/tex]

[tex]b = -50a[/tex]

[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]

[tex]-b^2 = 200a[/tex]

[tex]-(50a)^2 = 200a[/tex]

[tex]-2500a^2 - 200a = 0[/tex]

[tex]200a(-12.5a - 1) = 0[/tex]

Then, as [tex]a \neq 0[/tex]

[tex]a = -\frac{1}{12.5} = -0.08[/tex]

[tex]b = -50a = -50(-0.08) = 4[/tex]

Thus, the equation, in standard form, is:

[tex]y = -0.08x^2 + 4x[/tex]

Item 2:

The distances are the values of x for which:

[tex]y = 10[/tex]

Then

[tex]-0.08x^2 + 4x = 10[/tex]

[tex]-0.08x^2 + 4x - 10 = 0[/tex]

Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:

[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]  

The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A similar problem is given at https://brainly.com/question/24713268

Answer:

I'm pretty sure that's an angle.

Step-by-step explanation:

Answer:

3x-8=2x+8

1x-8=8

1x=16

x=16

your answer is x=16.

Answer:

-9/6 or -3/2

Step-by-step explanation:

To find the x intercept, substitute y = 0 into the equation:

6x + 3(0) = -9

Now simplify,

6x + 0 = -9

6x = -9

x = -9/6 → -3/2

Tip: If you were finding the y-intercept, you would substitute x = 0 into the equation instead

Step-by-step explanation:

gggggggggggggiiiiiiiiiiii

Answer:

36 neutrons

Step-by-step explanation:

The ratio of the protons to neutrons is 5:6, or 5 protons/6 neutrons. You know there are 30 protons, so this means you can set up proportions. Keeping the protons on the top, 5 protons/6 neutrons = 30 protons/x neutrons. You can cross-multiply from here, but how I find it helpful to think of it is seeing that you have to multiply 5 protons by 6 to get to 30 protons, so you'd have to also multiply the 6 neutrons by 6 to get x neutrons. Doing so (6x6) will get you 36. Don't forget your units! (:

Answer:

Angle Z is 70 degrees

Step-by-step explanation:

The 3 angles of a triangle add up to 180 degrees. Angle x is 45, angle y is 65.

180-45-65 = 180-110 = 70