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1 year ago

Naomi's car exponentially depreciates at a rate of 8% per

Mathematics

1 answer:

Dafna11 [192]1 year ago

7 0

The approximate original price of the car is $23032

<h3>How to determine the original price?</h3>

The given parameters are:

Rate, r = 8%

Price at 4 years old = 16,500

An exponential function is represented as:

y = a(1 - r)^x

Where a represents the initial value

This gives

y = a(1 - 8%)^x

Evaluate

y = a(0.92)^x

At 4 years old, we have:

16500 = a(0.92)^4

Divide both sides by (0.92)^4

a = 23032

Hence, the approximate original price of the car is $23032

Read more about exponential function at:

brainly.com/question/11464095

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2 years ago

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3 years ago

A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

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Answer: The rate of boat is 60 kmh.

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Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

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When the boat is going upstream, the relative speed will be : $(b-c)$

When the boat is going downstream, the relative speed will be: $(b+c)$

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It travels 260 kilometers going downstream in the same amount of time.

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Adding equation 1 and 2

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Plugging the value of b as 60 in equation 2

$60+c=\frac{260}{4}$

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