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2 years ago

8

Which expression is equivalent to the given expression? Assume the denominator does not equal zero

1 answer:

rusak2 [61]2 years ago

4 0

Answer:

Step-by-step explanation:

This question is based on the of expression. Therefore, the correct option is (A) that is, .

Given:

Expression :

We have to determined the expression is equivalent to the given expression.

According to the question,

It is given, to be assume that denominator does not equal zero.

Now by given expression, i.e.

Now, divide denominator by numerator we get,

Therefore, the correct option is (A) that is,

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Jackson purchases a new car for $48,000. The car's value can be modeled by the

vekshin1

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function: $y = 48000(0.76)^t$ where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form $y=a\cdot (1-r)^x$ , where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function $y = 48000(0.76)^t$ with standard decay function $y=a\cdot (1-r)^x$ , we can see that $1-r=0.76$ .

Let us solve for r.

$1-1-r=0.76-1$

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$r=0.24$

Let us convert 0.24 into percentage.

$0.24\times 100\%=24\%$

Therefore, the decay rate is 24%.

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