2 years ago

Simplify each.Assume that none of the variables is zero.

Mathematics

1 answer:

Zanzabum2 years ago

3 0

Answer:

2. 1 / a^2

3, 1

4. - 1

Step-by-step explanation:

Formulas : -

x^y / x^z = x^( y - z )

x^-y = 1 / x^y

x^y / x^y = 1

a^2 / a^4

= a^( 2 - 4 )

= a^-2

= 1 / a^2

m^6 / m^6 = 1

- 8^4 / 8^4

= - 1 x 8^4 / 7^4

= - 1

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Read 2 more answers

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

monitta

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

$f(t) = 10000(0.9407)^t$

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

$f(t) = f(0)(1-r)^t$

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that $f(0) = 10000$ , thus:

$f(t) = 10000(1-r)^t$

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

$f(2) = 8850$

We use this to find 1 - r.

$f(t) = 10000(1-r)^t$

$8850 = 10000(1-r)^2$

$(1-r)^2 = \frac{8850}{10000}$

$(1-r)^2 = 0.885$

$\sqrt{(1-r)^2} = \sqrt{0.885}$

$1 - r = 0.9407$

Thus

$f(t) = 10000(1-r)^t$

$f(t) = 10000(0.9407)^t$

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3 years ago

Simplify each.Assume that none of the variables is zero.​

Simplify each.Assume that none of the variables is zero.