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Olegator [25]
3 years ago
7

Solve the following system.

Mathematics
2 answers:
Ilya [14]3 years ago
6 0
The answer is 3,6 this was easy
rusak2 [61]3 years ago
4 0
Y = x + 3 . . . (1)
4x + y = 18 . . . (2)

Putting (1) into (2) gives
4x + x + 3 = 18
5x = 18 - 3 = 15
x = 15/5 = 3
x = 3
y = x + 3 = 3 + 3 = 6

Solution = (3, 6)
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The coffee beans from 14 trees are required to produce 7.7 kg of coffee. This is the
aleksandr82 [10.1K]

Answer:

34,496

Step-by-step explanation:

14×7.7×320 = 34,496

5 0
3 years ago
Jace invested $8,300 in an account paying an interest rate of 6.6% compounded continuously. Assuming no deposits or withdrawals
kondor19780726 [428]

Answer:

  • $20911

Step-by-step explanation:

<u>Given</u>

  • Investment   P₀ = $8300
  • Interest rate   r = 6.6%
  • Compound = continuous
  • Time   t=14 years
  • P = ?

<u>Formula for continuous compound interest:</u>

  • P = P₀e ^rt, where e = 2.71828, constant used for continuous interest
  • P = 8300*(2.71828)^(14*0.066)
  • P = $20910.57 = $20911 rounded to the nearest dollar

3 0
4 years ago
Kerry worked 46 hours last week. His hourly rate is $9.60. He has the following deductions taken from his pay: federal income ta
KiRa [710]

Answer:

  $341.96

Step-by-step explanation:

Assuming Kerry was not paid at an overtime rate for extra hours (despite his union affiliation), his gross pay is ...

  (46 h)×($9.60/h) = $441.60

His percentage deductions add to 17.65%, so will have a dollar amount of ...

  0.1765×$441.60 = $77.94

The dollar amount deductions total $21.70 in addition to his percentage deductions, so Kerry's net pay is ...

  $441.60 -77.94 -21.70 = $341.96

4 0
3 years ago
1. Which of the following linear equations has
Anon25 [30]
General equation: y = mx + c
where m is the slope.
So if there’s a negative sign on mx, it is a negative slope and vice versa.
3 0
3 years ago
Find zeros and y intercept of each function algebraically f(x)=x^3-10x^2+24x
monitta

Answer:

The zeros are 0, 4, 6.

The y-intercept is 0.

Step-by-step explanation:

f(x) = x^3 - 10x^2 + 24x

x^3 - 10x^2 + 24x = 0

x(x^2 - 10x + 24) = 0

x(x - 4)(x - 6) = 0

x = 0 or x - 4 = 0 or x - 6 = 0

x = 0 or x = 4 or x = 6

y-intercept:

Since x = 0 is a root, that means that the point (0, 0) is part of the function. That makes the y-intercept 0.

You can also solve for the y-intercept by letting x = 0 in the function and solving for f(0).

Let x = 0.

f(0) = 0^3 - 10(0^2) + 24(0)

f(0) = 0

y-intercept: 0

5 0
3 years ago
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