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3 years ago

What does "when x is an integer" mean?

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

Answer:

x = whole-valued numbers without fractions or decimal.

Step-by-step explanation:

An integer in mathematics refers to a whole number that can either be a positive or negative number but without any fractional part. Integers are numbers such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 etc.

Hence, when we say "x" is an integer, it simply means that the value of x should be a whole number that can either be a positive or negative number but without any fractional or decimal value or part.

In Mathematics, when solving for an unspecified or unknown integer we can use a lowercase alphabet "x" to denote the integer.

For instance;

2x + 5 = 11

2x = 11 - 5

2x = 6

Dividing both sides by 2, we have;

x = 3.

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3 years ago

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3 years ago

34. The amount of money in an account with continuously compounded interest is given by the formula 1

kirill115 [55]

Answer:

Step-by-step explanation:

I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is

$A(t)=Pe^{rt}$

where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:

$4=2e^{(.062)(t)}$

Begin by dividing both sides by 2 to get

$2=e^{.062t}$

The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so

$ln_e(e)=1$ This is because they are inverses of one another. Taking the natural log of both sides:

$ln2=.062t$ Now divide by .062 to get

t = 11.2 years

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3 years ago