Ava has a collection of 200 coins. How many coins represent 5% of her collection?

Mathematics

1 answer:

Serhud [2]3 years ago

4 0

Answer:

$10 coins$

Step-by-step explanation:

$5\%$ is equal to $0.05$ which is just $5 per 100$ . In the number $200$ , there are 2 hundreds, so the answer would be 10 (coins that represent $5\%$ of her collection. You could also do $0.05×200=10$ .

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For the real-valued functions, find the composition and specify its domain using interval notation.

Helen [10]

Answer:

Composition: $f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1$

Domain = { $x\,/\,x\geq \,-4$ }

Step-by-step explanation:

Given

$f(x)=4\,x-1\,\,\, and \,\,\, h(x)=\sqrt{x+4}$

The requested composition becomes:

$f(x)\,^o\,h(x)=f(h(x))\\f(x)\,^o\,h(x)=f(\sqrt{x+4} )\\f(x)\,^o\,h(x)=4\,\sqrt{x+4} -1$

Then the Domain consists of all Real x-values for which the function is defined. In this case, the function is defined for all x-values for which the square root is defined, that is all x values for which:

$x+4\geq \,0$ (so the square root is defined in the Real number system)