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nlexa [21]
3 years ago
8

$100 is deposited in the bank at 5% interest compounded continuously. What will be the average value of the money in the account

during the next 20 years?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0
The average value is the average of the values from year 0 to year 19.
The value of the principal $100 remains from day 0 to 364, that is why the choice of years 0 to 19.
The values are:
100.0105.0110.25115.76121.55127.62134.0140.71147.74155.13162.88171.03179.58188.56197.99207.89218.28229.2240.66252.69
for an average value of $165.33
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a. Solve x + 9 = x + 9. b. If you simplify an equation and get 0 = 0, what can you conclude about the solution(s) of the origina
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Step-by-step explanation:

8 0
2 years ago
What much expression represents a rational number?
Pie

Answer:

\displaystyle \frac{2}{7}+\sqrt{121}

Step-by-step explanation:

<u>Rational Numbers</u>

A rational number is any number that can be expressed as a fraction

\displaystyle \frac{a}{b}, \ b\neq 0

for a and b any integer and b different from 0.

As a consequence, any number that cannot be expressed as a fraction or rational number is defined as an Irrational number.

Let's analyze each one of the given options

\displaystyle \frac{5}{9}+\sqrt{18}

The first part of the number is indeed a rational number, but the second part is a square root whose result cannot be expressed as a rational, thus the number is not rational

\pi + \sqrt{16}

The second part is an exact square root (resulting 4) but the first part is a known irrational number called pi. It's not possible to express pi as a fraction, thus the number is irrational

\displaystyle \frac{2}{7}+\sqrt{121}

The square root of 121 is 11. It makes the whole number a sum of a rational number plus an integer, thus the given number is rational

\displaystyle \frac{3}{10}+\sqrt{11}

As with the first number, the square root is not exact. The sum of a rational number plus an irrational number gives an irrational number.

Correct option:

\boxed{\displaystyle \frac{2}{7}+\sqrt{121}}

6 0
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