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3 years ago

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Mathematics

1 answer:

Dmitry [639]3 years ago

3 0

Answer:

The average rate will be -11000 dollars per year.

Step-by-step explanation:

The price of a house in 2005 = $250,000

The price of a house in 2010 = $195,000

at x₁ = 2005, f(x₁) = 250,000

at x₂ = 2010, f(x₂) = 195,000

Using the formula to determine the average rate of change for the

house each year.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

= [195,000 - 250,000 ] / [2010-2005]

= -55000 / 5

= -11000

Therefore, the average rate will be -11000 dollars per year.

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The radioactive substance cesium-137 has a half-life of 30 years. The amount At (in grams) of a sample of cesium-137 remaining a

nadya68 [22]

Answer:

Initial amount is 523 grams

Amount after 100 years is 52 grams

Step-by-step explanation:

General exponential function for radioactive substances is given by

A(t) = Ao(1/2)^t/t1/2

Where,

A(t) is the amount remaining after t years

Ao is the initial amount of the radioactive substance

t is the number of years required for the radioactive substance to decay to A

t1/2 is the half-life of the radioactive substance

Comparing A(t) = 523(1/2)^t/30 with the general exponential function

Initial amount (Ao) = 523 grams

A(t) = 523(1/2)^t/30

t = 100

A(100) = 523(1/2)^100/30 = 523×0.5^3.333 = 523×0.0992 = 51.8816 = 52 grams (to the nearest gram)

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3 years ago

Write an equation of the line parallel to 3x + 5 = 2y that has a y-intercept of -1

denpristay [2]

Answer:

3x - 2 = 2y

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 5 = 2y into this form by dividing all terms by 2

$\frac{3}{2}$ x + $\frac{5}{2}$ = y ← in slope- intercept form

with slope m = $\frac{3}{2}$

Parallel lines have equal slopes and c = - 1, thus

y = $\frac{3}{2}$ x - 1 ← in slope- intercept form

Multiply through by 2

2y = 3x - 2 ← equation of line

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Answer:

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Answer:

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Step-by-step explanation:

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3 years ago

I need help asap brainliest to however gets it correct

Yuki888 [10]

Hello from MrBillDoesMath!

Answer:

212

Discussion:

measure CED = measure CBE + measure END

= 52 + 160

= 212

Thank you,

MrB

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4 years ago