Answer: 0.1 or 1/10
Step-by-step explanation:
Answer:

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.
Step-by-step explanation:
For this case since we know that the interest is compounded continuously, then we can use the following formula:

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.
For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means
and we want to find the value for t.

We divide both sides by 100000 and we got:

Now we can apply natural logs on both sides;

And then the value of t would be:

And rounded to the nearest tenth would be 9.2 years.
Answer:
-3.5, -3, -1, 3, 4.5
Step-by-step explanation:
1. ok, so theres 8 red marbles, 6 blue marbles, and 6 white marbles so that makes
<span>8 + 6 + 6 = 20 marbles in total </span>
<span>the probability of the marble being white is 6/20 or 3/10 </span>
<span>so the probabilty of the marble NOT being white is 1 - (3/10) = 7/10 </span>
<span>and that matches up with choice e) </span>
<span>2. so the ratio of the sides of a triangle is 12:14:15, and the second one is similar. for this one we have to set up a proportion </span>
<span>since the shortest side of the second side is 8 inches, we can match it up with the shortest ratio of the first. and we kno the ratio of the longest side of the first triangle is 15, but we dont kno the the length of the longest side of the second triangle, so we can let that be our unknown, x. so the proportion we are going to set up is </span>
<span>8 / 12 = x / 15 </span>
<span>now cross multiply </span>
<span>12x = 120 </span>
<span>x = 10 </span>
<span>so the length of the longest side of the second triangle is 10 inches </span>
<span>that matches up with choice b)
OR
</span>1. 1 - 6/20 = 1 - 3/10 = 7/10
<span>Answer: (e) 7/10 </span>
<span>---------- </span>
<span>Ideas: Use complement set. </span>
<span>2. x:8 = 15:12 = 5:4 </span>
<span>Answer: (b) 10.0 </span>