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torisob [31]
3 years ago
12

Which of the following represents a financially responsible decision?

Mathematics
1 answer:
Katarina [22]3 years ago
7 0

Answer:

D. Putting money away for retirement

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What is the measurement of angle a?
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Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
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A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For th
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Step-by-step explanation: hope this helps

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2 years ago
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Can somebody prove this mathmatical induction?
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Answer:

See explanation

Step-by-step explanation:

1 step:

n=1, then

\sum \limits_{j=1}^1 2^j=2^1=2\\ \\2(2^1-1)=2(2-1)=2\cdot 1=2

So, for j=1 this statement is true

2 step:

Assume that for n=k the following statement is true

\sum \limits_{j=1}^k2^j=2(2^k-1)

3 step:

Check for n=k+1 whether the statement

\sum \limits_{j=1}^{k+1}2^j=2(2^{k+1}-1)

is true.

Start with the left side:

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}\ \ (\ast)

According to the 2nd step,

\sum \limits_{j=1}^k2^j=2(2^k-1)

Substitute it into the \ast

\sum \limits _{j=1}^{k+1}2^j=\sum \limits _{j=1}^k2^j+2^{k+1}=2(2^k-1)+2^{k+1}=2^{k+1}-2+2^{k+1}=2\cdot 2^{k+1}-2=2^{k+2}-2=2(2^{k+1}-1)

So, you have proved the initial statement

4 0
3 years ago
10.Mr. Vickers earns a 7.5% commission on his total sales. Last month, he had sales of
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Answer:

4096.50, 4,096.50, $4,096.50, or $4096.5

Step-by-step explanation:

8 0
3 years ago
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