Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?

Answer:

C. x = 4√70

Step-by-step explanation:

To find x, we would apply the leg rule.

Leg rule is:

Hypotenuse/leg = leg/part

Hypotenuse = 36 + 20 = 56

Leg = x

Part = 20

Plug in the values into the equation

Thus, we would have:

56/x = x/20

Cross multiply

x*x = 56*20

x² = 1,120

x = √1,120

x = √(16*70)

x = 4√70

The correct answer is c.

Answer:

you didint explainded well

Step-by-step explanation:

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Answer:

B = 24 degrees

Step-by-step explanation:

It should have 180 total

180 - 61 = 119

Answer:

4 hours and 45 minutes

Step-by-step explanation:

8550 ÷ 1800 equals 4.75 which should translate into 4 hours and 45 minutes

Answer:

16

Step-by-step explanation:

50 - 16 = 34

34 / 2 = 17

34 + 17 = 51, which is too much; so we take 1 souvenir out which would be 16.

Quick check:

34 + 16 = 50

Hope this helps!

Answer:

with 128 legsin in all 56 160 one of them

Answer:

No solution

Step-by-step explanation:

7x-4=7x+15​

-4 = 15 = not true

Answer:

0 because is you -7x from both sides you get -4=15 which doesn't work.

Step-by-step explanation:

Answer:

the statement would be false.

Step-by-step explanation:

Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.

9514 1404 393

Answer:

  y = 1/2x - 4

Step-by-step explanation:

The point-slope form of the equation for a line is a useful starting place when slope and point are given.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -(-2) = 1/2(x -4) . . . . line with slope 1/2 through point (4, -2)

  y = 1/2x - 4 . . . . . . . . eliminate parentheses, subtract 2

Answer:

36 inches

Step-by-step explanation:

The area formula for a rectangle is length times width times height

If you fill in the equation with the values given in the picture then your answer is 3

3 times 12 is 36

Answer:

52.3

Step-by-step explanation:

32+67+84= 183

183-(72.7 + 58)= 52.3

Answer:

Step-by-step explanation:

The easiest way to solve

This gave us the option B as the best fit line

See the graph below

Step-by-step explanation:

the dude above me is right

9514 1404 393

Answer:

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

Step-by-step explanation:

The applicable derivative formula is ...

  d(u/v) = (v·du -u·dv)/v²

__

  f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²

  f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

__

Similarly, the second derivative is the derivative of f'(x).

  f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴

  f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

Answer:

f(3)=56, f(-4)=277

Step-by-step explanation:

f(x)=x^4-8x-11

f(3)=3^4-8(3)-11=3*3*3*3-24-11=9*3*3-35=27*3-25=81-25=56

f(-4)=(-4)^4-8(-4)-11=(-4)(-4)(-4)(-4)+32-11=(16)(16)+32-11=256+32-11=288-11=277

Answer:

227

Step-by-step explanation:

9514 1404 393

Answer:

  18 miles

Step-by-step explanation:

The map distance and ground distance are proportional.

  (distance to school)/(3 in) = (12 miles)/(2 in)

Multiplying by 3 in gives ...

  distance to school = (12 miles)(3/2) = 18 miles

Answer:

23, because 138 divided by 6 is 23

He can make 23 servings.

Answer:

x = 22

Step-by-step explanation:

We need to find the value of x for the given equation.

[tex]\dfrac{\dfrac{1}{5}}{\dfrac{1}{11}}=\dfrac{x}{10}\\\\\dfrac{1}{5}\times 11=\dfrac{x}{10}[/tex]

Cross multiplying both sides,

[tex]11\times 10=5x\\\\x=\dfrac{11\times 10}{5}\\\\x=11\times 2\\\\x=22[/tex]

So, the value of x is equal to 22.

Answer:

First Blank: Traditional

Second Blank: (the other choice, besides exempt)

Third Blank: Roth

Fourth Blank: Taxes exempt

Step-by-step explanation:

I got 5/5 on the test by reading through the other guys answer.

In a traditional 401(k), it is tax deferred because the income earned isn't taxed until the money is withdrawn.

Income tax is a tax applied on individuals or entities concerning income or profit earned by them.

A 401 k is a qualified tax-advantaged saving retirement plan. Usually, The 401K  plans are employer-sponsored. Employee contributions to the 401 k plans are deducted from the payroll before the taxes can be calculated.

This means that the employee contribution is not taxed at the time it's withheld by the employer.

The amounts saved are invested in market securities such as shares and companies bonds. The tax due from the money from the investment is deferred to the time of withdrawal.

The employee are needed to pay taxes on contributions and investments earning every financial year.

In a traditional 401(k), it is tax deferred because the income earned isn't taxed until the money is withdrawn.

Learn more about tax here;

https://brainly.com/question/20982639

#SPJ5

Answer:

Undefined

Step-by-step explanation:

The slope is undefined as both points have the same x value.

Answer:

Undefined

Step-by-step explanation:

                        5 , 10

5 +0 = 5     <--  5 , -6     <-- 10 - 16 = -6

m = [tex]\frac{y}{x}[/tex]

m = [tex]\frac{-16}{0}[/tex]   <-- Doesn't sense. So the slope will be undefined

Answer:

Step-by-step explanation:

3x + -3y = 6

3x + -3y = 6

3x + -3y + 3y = 6 + 3y

3x + 0 = 6 + 3y

3x = 6 + 3y

x = 2 + y

x = 2 + y

$60 divided by 5 = $12

$12 per session.

Pls mark me brainliest!

Answer:$12 per session

Step-by-step explanation: divide 60 by 5 you get 12.

Answer:

1/2

Step-by-step explanation:

Given the mathematical expression;

[tex] \frac {1}{3} + \frac{1}{6} = 0 [/tex]

First of all, we would determine the lowest common multiple for 3 and 6.

Lcm = 6

[tex] \frac {1}{3} + \frac{1}{6} = \frac {2 + 1}{6} [/tex]

[tex] \frac {2 + 1}{6} = \frac {3}{6} [/tex]

[tex] \frac {3}{6} = \frac {1}{2} [/tex]

Therefore, 1/3 + 1/6 = 1/2

Answer:

x = 47

Step-by-step explanation:

KY + YV = KV

KY + 22 = x

KY = x - 22

By angle bisector property:

[tex] \frac{TK}{TV} = \frac{KY}{YV} \\ \\\frac{87.5}{77} = \frac{x - 22}{22} \\ \\ x - 22 = \frac{87.5 \times 22}{77} \\ \\ x - 22 = \frac{1,925}{77} \\ \\ x - 22 = 25 \\ \\ x = 25 + 22 \\ \\ x = 47[/tex]

Answer:

m∠B = [tex]97^{o}[/tex].

Step-by-step explanation:

Since the three sides of the triangle are given, then we apply cosine rule.

[tex]b^{2}[/tex] = [tex]a^{2}[/tex] + [tex]c^{2}[/tex] - 2ac Cos B

But, a = 660 cm, b = 680 cm, and c = 100 cm.

So that;

[tex]680^{2}[/tex] = [tex]660^{2}[/tex] + [tex]100^{2}[/tex] -2(660 x 100) Cos B

462400 = 435600 + 10000 - 132000 Cos B

462400 = 445600 - 132000 Cos B

132000 Cos B = 445600 - 462400

                        = -16800

Cos B = [tex]\frac{-16800}{132000}[/tex]

         = -0.1273

B = [tex]Cos^{-1}[/tex] -0.1273

  = [tex]97^{o}[/tex]

Thus, measure of ∠B is [tex]97^{o}[/tex].

Answer:

M∠B = 97 degrees

Step-by-step explanation:

Answer:

a) x = 69°

b) y = 69°

Step-by-step explanation:

a. Given that AB and CD are parallel lines, therefore:

x = 69° (alternate interior angles are congruent to each other)

b. y + 111° = 180° (consecutive interior angles are supplementary)

y = 180° - 111° (substraction property of equality)

y = 69°