Find the value of x.

x =

Enter the number that belongs in
the green box.

Answer:

Braxton's initial investment is equals to (=) Pam's initial investment.

The interest on Braxton's account is less than (< ) the interest on Pam's account.

Step-by-step explanation:

Given - Braxton has money in a savings account. The equation

            B = [tex]800(1 + 0.03)^{t}[/tex] can be used to calculate the amount of money    

           in dollars, B, Braxton has in his account after t years since opening

           the account.

           Pam also has money in a savings account. The equation

           P=[tex]800(1 + 0.04)^{t}[/tex]  can be used to calculate the  amount of money in

           dollars, P, Pam has in her account after t years since opening the

           account.

To find - Braxton's initial investment ..........Pam's initial investment.

             The interest on Braxton's account .....the interest on Pam's account.

Proof -

As given, Broxton equation is - [tex]800(1 + 0.03)^{t}[/tex]

               Pam equation is - [tex]800(1 + 0.04)^{t}[/tex]  

Now,

1.)

For initial investment , Put t = 0

⇒B = [tex]800(1 + 0.03)^{0} = 800(1) = 800[/tex]

  P =  [tex]800(1 + 0.04)^{0} = 800(1) = 800[/tex]

As for t = 0

Braxton's equation , B = Pam's equation,P

⇒Braxton's Initial investment = Pam's initial investment.

2.)

For the interest,

As we don not have time for which the interest has to be check.

So , let the time period = 5 years

Therefore,

B = [tex]800(1 + 0.03)^{5} = 800(1.03)^{5} = 800(1.1593) = 927.42[/tex]

P =  [tex]800(1 + 0.04)^{5} = 800(1.04)^{5} = 800(1.2166) = 973.32[/tex]

Now,

Interest on Braxton's account = 927.42 - 800 = 127.42 ≈ 127

Interest on Pam's account = 973.32 - 800 = 173.32 ≈ 173

∴ we get

The interest on Braxton's account is less than the interest on Pam's account.

Answer:

64

Step-by-step explanation:

to be honest i just looked it up it thats what i do with my work and i always get it right so...

Answer:

d ≥8

Step-by-step explanation:

She is earning AT LEAST meaning that she gets at least more than 8 dollar per job

Answer:

1.50x+10=34

Step-by-step explanation:

Because sine and cosine are complements, we will have that:

cos(60°) = 1/2.

First, because cosine and sine are complements, we know that:

cos(x) = sin(x + 90°).

cos(90° - x) = sin(x).

We will use the second relation, with x = 30° we can write:

cos(90° - 30°) = sin(30°)

cos(60°) = sin(30°)

And we know that sin(30°) = 1/2

Then we also have cos(60°) = 1/2.

So the correct option is d.

If you want to learn more about trigonometric functions:

https://brainly.com/question/8120556

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Answer:

D-  cos 60° = 1/2, because the cosine and sine are complements

Step-by-step explanation:

Got it right on test:)

Answer:

14w + 14y - 28

Step-by-step explanation:

-7(-2w - 2y + 4)

Distribute:

14w + 14y - 28

good luck, hope this helps :)

Answer:

14w + 14y - 28

Step-by-step explanation:

Distribute :)

Answer:

40 or 80%

Step-by-step explanation:

50 points / 2 points per questions = 25 questions

25 questions - 5 wrong answered questions = 20 right answered questions

20 right answered questions x 2 points each = 40 points in total

Answer:

Step-by-step explanation:

Given points

Point (0,0)

Point (-4,1)

Point (-1,2)

Point (0, 0)

Point (-4, 1)

Point (-1,2)

9514 1404 393

Answer:

  a.  all points are part of the solution set

  b.  no points are in the solution set

Step-by-step explanation:

Graphs of the two systems of inequalities are attached.

a) The red area on the graph is the solution. The two inequalities can be combined to one compound inequality:

  x -1 < y < -1/2x +2

The two boundary lines intersect at x-1 = -1/2x +2   ⇒   x = 2, so there are no points in the solution set with x-values of 2 or greater.

All of the given points are in the solution set.

__

b) The green area of the graph is the solution. Solving each inequality for y gives ...

  x -2y ≥ 4  ⇒  1/2x -2 ≥ y

  2x -y ≥ -1  ⇒  2x +1 ≥ y

The allowed values of y must be less than or equal to the minimum of these limits. The limits have the same value at 1/2x -2 = 2x +1   ⇒   x = -2, so the solution set is the area below and right of that intersection point of the two boundary lines.

None of the given points are in the solution set.

Answer:

3 square root 2.

Step-by-step explanation:

I think the answer is b (3 square root 2). the Pythagorean therom states that B^2+ B^2= C^2. we know that c squared is 36. 3 square root 2 is approximately 4.24. ( this squared is 17.98). 17.98 + 17.98 = 35.96.  If i round this up, it is 36.

Answer:

The answer is 47

Step-by-step explanation:

I'm pretty sure this is the answer :)

40 - 28 = 12

35 + 12 = 47

Proof: 35 - 28 = 7

          47 - 40 = 7

Answer:

Wasssupppp yallll

Answer:

114

Step-by-step explanation:

20% of 1200= 240

so total price is 1200+220=1440

he pays 300 beposit

1440-300=1140

now 1150 must be paid in 10 installments equally

11400÷10=114 is the answer

Answer:

y=5/6x+b

Step-by-step explanation:

use formula (y2-y1)/(x2-x1) to look for the slope:

(8-(-2))/(6-(-6))

=10/12

=5/6 (simplified)

then, use the formula y=mx+b to get the equation by substituting m and x, y to either (-6, -2) or (6, 8):

8=5/6(6)+b

8=5+b

3=b (subtract 5 on both sides)

equation:

y=5/6x+3

Answer:

[tex]40x^6y^4\sqrt{x}[/tex]

Step-by-step explanation:

Answer:

[tex]Total = 3E + 2N + S[/tex]

Step-by-step explanation:

Given

Represent

Efficiency with E; Noise Level with N

and Service and Installations with S

Required

Determine the correct formula

From the question

3 points goes to E: i.e. 3E

2 points goes to N: i.e. 2N

The above is the number of points more than service and installations.

So 1 point will be given to S i.e. S

The total or formula is:

[tex]Total = 3E + 2N + S[/tex]

Answer:

36cm

first we extend one of the half lines.

now we have 2 rectangles with sides

using area of rect formula we find the area of both the rects separately and then add them

Answer:

824 feet

that is becuase the greastist common factor adds up to that

1. 64 feet

2. 842 feet

3. y = 906 - 16t^2

Answer:

x = 11

Step-by-step explanation:

35 + 5x = 90    {Complementary angles}

Subtract 35 from both sides

   5x = 90 - 35

  5x = 55            {Divide both sides by 5}

    x = 55/5

    x = 11

Answer:

lower=34.15 upper=34.25

Step-by-step explanation:

Answer:

Both the legs or sides are equal

GOOD LUCK FOR THE FUTURE! :)

Small bag = 2x

Medium bag = 3x

Large bag = 7x

2x + 3x + 7x = 60

12x = 60

x = 60/12

x = 5

Small bag = 2(5) = 10 kg

Medium bag = 3(5) = 15 kg

Large bag = 7(5) = 35 kg

Done.

Answer:

We need more info

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

1/3 * 1 2/3

1/3 * 5/3

5/9

Answer:

- 12k² + kl

Step-by-step explanation:

Given

7kl - 3k(4k + 2l) ← distribute parenthesis by - 3

= 7kl - 12k² - 6kl ← collect like terms

= - 12k² + kl

Answer:

2 4/5 feet

Step-by-step explanation:

let 'x' = height of fire hydrant

7/20 = x/8

cross-multiply:

20x = 56

x = 56/20 or 14/5, which is 2 4/5

Answer:y= -5

X=-6

-5/6

Step-by-step explanation:

Answer: The slope is 2.

Step-by-step explanation:

To get the slope, use this tip: Rise over run

Count how much it rises, which is 4, and how much it "runs' which is 2. Now put rise above run which is 4/2. This simplifies to simply 2.

Answer:

The slope is 2.

Step-by-step explanation:

The points on the line are (1, -2) which can be labeled as x1 and y1, and the other is (3,2) which can be labeled as x2 and y2. you set up the equation in the slope formula, so 2 - - 2 / 3 - 1. Since there are two negatives, the subtraction signs turn into addition signs, and you get 4/2, which simplyfied is 2. Hope this helps :)

Answer:

9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

3[tex]\sqrt{20}[/tex] + [tex]\sqrt{45}[/tex]

= 3(2[tex]\sqrt{5}[/tex] ) + 3[tex]\sqrt{5}[/tex]

= 6[tex]\sqrt{5}[/tex] + 3[tex]\sqrt{5}[/tex]

= 9[tex]\sqrt{5}[/tex]