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Nikitich [7]
2 years ago
14

Someone help with this I’m gonna fail !

Mathematics
1 answer:
Dafna1 [17]2 years ago
7 0
The answer is option D
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One of the main contaminants of a nuclear accident, such as that at Chernobyl, is strontium-90, which decays exponentially at a
igor_vitrenko [27]

Answer: P=0.975^t


Step-by-step explanation:

We know that the general form of the exponential decay formula is


y=A(1-r)^t, where y is final amount remaining after t time, A is the original amount and r is the rate of decay


Now, the ratio of strontium-90 remaining, p , as a function of years, t , since the nuclear accident. P=\frac{A(1-0.02)^t}{A}=\frac{(0.975)^t}{1}

Hence, the ratio of remaining since the nuclear accident is P=0.975^t

3 0
3 years ago
Read 2 more answers
What is the solution to the system that is created by the equation y=-x+6 and the graph shown below?
mina [271]
The graph graphed is y=1/2x

so
y=1/2x and y=-x+6
y=y so
1/2x=-x+6
times 2 both sides
x=-2x+12
add 2x both sides
3x=12
x=4

sub back
y=1/2x
y=1/2(4)
y=2

(4,2) is the solution
3 0
3 years ago
Read 2 more answers
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat
jolli1 [7]

Answer:

  • 7000 type A
  • 6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y

Then the profit equation is ...

P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

  ∂P/∂x = 0 = -2x +2y +2

  ∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

  • y = x -1
  • x -9y = -47

Substituting the first into the second gives ...

  x -9(x -1) = -47

  -8x = -56

  x = 7

  y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

5 0
3 years ago
mrs. Hudson invested $700 into an account that draws 3% interest, compounded annually. what is the total value of the account af
nadezda [96]
700 x .03 x 20 = 420
420 + 700
1120 is in the account after 20 years
7 0
3 years ago
Which of the following statements are true about the figure above?<br> Check all that apply.
mars1129 [50]

Answer:

a and c

Step-by-step explanation:

because its a 3rd demenshion sphere

3 0
2 years ago
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