Step-by-step explanation: Since the doubling time is 10 years, which means another 2500 is added. So all we have to do is add 2500*(8/10) plus the original 2500, and here ya go!

7 0

3 years ago

Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total num

DanielleElmas [232]

Answer:

y = 2.5x + 33.4, y = 75.9 miles

Step-by-step explanation:

Equation is y = 2.5x + 33.4

17 = 2.5 x + 33.4

y = 2.5 (17) + 33.4

y = 42.5 + 33.4

y = 75.9 miles

4 0

2 years ago

"assume that s is a non-empty set of real numbers which is bounded above and lambda is the least upper bound. Prove that for all

s2008m [1.1K]

By definition, if $\lambda$ is the least upper bound of the set $S$ , it means two thing:

$\forall x \in S,\ x \leq \lambda$
$\forall \varepsilon>0,\ \exists x \in S:\ x>\lambda-\varepsilon$

In other words, the least upper bound of a set is greater than or equal to every single element of the set, but it is "close enough" to the elements of the set, because you guaranteed to find elements in the set between $\lambda-\varepsilon$ and $\lambda$

For example, pick $S = [1,10)$ . Obvisouly, the least upper bound is $\lambda = 10$ . In fact, every number in $[1,10)$ is smaller than 10, but as soon as you take away something from 10, say 0.01, you get 9.99, and there are elements in $S$ greater than 9.99, say 9.9999.

So, the claim is basically proven by definition: if $\beta < \lambda$ , let $0 < \delta = \lambda - \beta$ . By definition, there exists $\alpha \in S:\ \alpha > \lambda - \delta$ .

8 0

3 years ago