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LekaFEV [45]
3 years ago
11

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

Mathematics
1 answer:
vekshin13 years ago
8 0

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

-r=-0.24

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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Find the answer The weight of an elephant is 10 to the 3rd power times the weight of a cat .If the the elephant weighs 14,000 po
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14\ pounds

Below is the procedure that was used to find the answer.

Step-by-step explanation:

Let be "e" the weight in pounds of the elephant and "c" the weight in pounds of the cat.

According to the information provided in the exercise, we know that The weight of an elephant is 10^3 times the weight of a cat. Based on this we can write the following equation:

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If the weight in pounds of the elephant is:

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We must substitute this value into the equation and then solve for "c" in order to find the weight in pounds of the cat.

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Read 2 more answers
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