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Damm [24]
2 years ago
4

What is the solution to (x + 8) > (2x + 10)? (–∞, –4) (–4, ∞) (–∞, 4) (4, ∞)

Mathematics
2 answers:
sukhopar [10]2 years ago
6 0

Step-by-step explanation:

4 \times  \frac{3}{4} (x + 8) > 4 \times  \frac{1}{2} (2x + 10) \\ 3( x + 8) > 2(2x + 10) \\ 3x + 24 > 4x + 20 \\ 4 > x

so ans is :

(4,∞)

Firdavs [7]2 years ago
6 0

Answer:

(–∞, 4)

Step-by-step explanation:

  • 3/4(x + 8) > 1/2(2x + 10)
  • 3(x+8) > 2(2x+10)
  • 3x+24>4x+20
  • 3x-4x>20-24
  • -x>-4
  • x<4
  • x ∈ (–∞, 4)

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$28.50

Step-by-step explanation:

21 chicken wings= $39.90

1 chicken wing= 39.90÷21= $1.90

15 chicken wings= 15×1.90= $28.50

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2 years ago
Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin. Complete the table to show the locations of A
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A

Step-by-step explanation:

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2 years ago
Izaak is a big baseball fan. He is comparing the cost of two options for purchasing tickets. Let g represent the number of baseb
Schach [20]

The single game ticket only costs 8g per ticket. The Season tickets costs 1.19 (I had added them). The 8 is lesser than 1.19. So the Season tickets costs more than the Single Game tickets (I hope this helped!).

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2 years ago
Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the inte
xz_007 [3.2K]

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.  

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

5\%=\frac{5}{100}=0.05  

When compounded annually, n=1:

A=4500(1+\frac{0.05}{1})^{1\cdot 10}

A=4500(1.05)^{10}

A=4500(1.6288946267774414)

A=7330.025820498\approx 7330.03

When compounded quarterly, n=4:

A=4500(1+\frac{0.05}{4})^{4\cdot 10}

A=4500(1.0125)^{40}

A=4500(1.6436194634870132)

A=7396.28758569\approx 7396.29

When compounded monthly, n=12:

A=4500(1+\frac{0.05}{12})^{12\cdot 10}

A=4500(1.00416666)^{120}

A=4500(1.64700949769)

A=7411.542739605\approx 7411.54

When compounded daily, n=365:

A=4500(1+\frac{0.05}{365})^{365\cdot 10}

A=4500(1.0001369863013699)^{3650}

A=4500(1.6486648137656943695)

A=7418.9916619456\approx 7419.00

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

4 0
2 years ago
The volume, in cubic feet, of a right cylindrical silo of height h and radius r is V = πr2h. The height of the silo is h(r) = 3.
Reptile [31]

Answer:

The domain of V(h(r)) is restricted to values of r greater than 0

V(h(r)) = 3.5πr^3

The volume depends on the radius of the cylinder

Step-by-step explanation:

Edgenuity

3 0
2 years ago
Read 2 more answers
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