The amount of water leaking from a water tank can be modeled with the function f(x) = −x3 − 10x2 − x + 120, where x measures the
number of minutes since the leak began and f(x) measures the volume of the tank. During what time period is there water in the tank? (0, 3) (0, 3]
2 answers:
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Answer:
I assume you know Arithmetic Progression .
so, we have to find the first and last 4-digit number divisible by 5
first = 1000 , last = 9990
we have a formula, = a + (n-1)d
here, is the last 4-digit number divisible by 5.
n is the number of 4-digit even numbers divisible by 5
d is the common difference between the numbers, which is 10 in this case
a is the first 4-digit number divisible by 5
9990 = 1000 + (n-1)*10
899 = n-1
n = 900
Hence, there are 900 4-digit even numbers divisible by 5