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11Alexandr11 [23.1K]
3 years ago
13

the annual rate of inflation is given by the formula I = (p2/p1)^1/n - 1, where p1 is the initial price of an item and p2 is the

final price of an item over a period of n years. In 1980, the average price of an ounce of gold was $850. By 2011, the average price was $1,800. In this situation, what is n?
Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

Answer:

<h2>The value of n is 31 years.</h2>

Step-by-step explanation:

The given equation is formed by different variables, where n indicates the period of time in years where the rate of inflation is calculated.

In this case, we have a period from 1980 to 2011. The difference between these years would be the period of time used to find the inflation rate.

2011-1980=31

Therefore, the value of n is 31 years.

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Solve 2x + 3y = 11 and 2x - 4y = -24 and hence find the value of 'm' for which y=mx+3.
zhenek [66]

Answer:

m=-1

Step-by-step explanation:

2x+3y=11............. (eqn 1)

2x-4y=-24...........(eqn 2)

Subtract eqn 1 from eqn 2

7y=35

y=5

Substitute for y in eqn 1

2x+3(5)=11

2x+15=11

2x=11-15

2x=-4

x=-2

y=mx+3

5=-2m+3

5-3=-2m

2=-2m

m=-1

8 0
3 years ago
Read 2 more answers
what is the equation of the quadratic function that passes through the points (0,-1),(1,0),and (2,-3)
Alexus [3.1K]

Answer:

-2x^2 + 3x -1

Step-by-step explanation:

y = ax^2 + bx + c

(0,-1):  

-1 = a(0)^2 + b(0) + c

-1 = 0 + 0 + c

-1 = c

(1,0):

0 = a(1)^2 + b(1) + c

0 = a + b + c

(2,-3):

-3 = a(2)^2 + b(2) + c

-3 = 4a + 2b + c

Replace c with -1

0 = a + b -1

1 = a + b

-3 = 4a + 2b -1

-2 = 4a + 2b

-1 = 2a + b

Solve:

2a + b = -1

-1a - b = -1

a = -2

2a + b = -1

-2a -2b = -2

-b = -3 divide both by -1:  b = 3

a = -2; b = 3; c = -1

y = ax^2 + bx + c or y = -2x^2 +3x -1

6 0
3 years ago
(45 x 54)/5<br> What is the answer?
horrorfan [7]

Answer:

486

Step-by-step explanation:

5 0
2 years ago
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The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he
Dima020 [189]
We can find the answer by solving the two equations simultaneously.

equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x

equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5

But x >= 0 (the question says it's a height above the water), so x = 5

Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5

So the answer is C
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4 years ago
Make a box and whisker plot of the data
andrew-mc [135]
The box and whisker plot for the information will be as follows:
<span>79,70,73,84,83,88,75,72,76,68,68,79,84,74,75,85,67,78,69,80
From the table the average is 76.5</span>

8 0
3 years ago
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