A man invested $16,000. He invested a portion at 6% and the balance at 8%. If he receives $260 every 3 months, how much did he i
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<h3>Answer: C) 2</h3>
Explanation:
Recall that the general point-slope form is where m is the slope and
is the point the line goes through. We see that the 2 and the m match up, so m = 2 is the slope.
Side note: We can rewrite that given equation into y - (-5) = 2(x - (-1)) to see that the line goes through the point (-1, -5)
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, <em>88 s</em>, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, <em>88 s</em>, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is <em>88 s.</em>
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This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
Common is 2.
Therefore the LCM will be:
So, the answer is <em>88 s.</em>