The value of a bike depreciates by 20% each year why after 2 years is it not reduced by 40%?

2 answers:

6 0

Because the first year it's reduced by 20 percent.
the next year, that price that was reduced by 20, is reduced by 20 again.

nordsb [41]3 years ago

4 0

Because it will not be 40 percent of the original, since after 20 percent is gone, the next year itll be 20 percent of the product, instead of the original, so for example, if it was 100, it would go down to 80, and then the next year it would be 20 percent of 80, not 100

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A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco

bekas [8.4K]

answer:

$f(t) = -9.9788169(t -0.76)^2 +57$

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is $f(x)= a(x-p)^2 +q$ , where (p,q) is the turning point. now we substitute the turning point