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:
you plug in (y) with the top equation
Step-by-step explanation:
step 1: 2x+1/2x-1=-6
step 2: 2.5x-1=-6
step 3: 2.5x-1=-6
+1. +1
step 4: 2.5x= -5. Divide both sides by 2.5
-5/2.5 = -2
step 5: plug in your (x) to find (y)
y= 1/2(-2)-1
step 6: 1/2(-2) = -1
y=( -1)-1
y=-2
step 7: (x,y)= (-2,-2)
step 8: graph your coordinate
I hope that this helped you!
There are 52 cards in a deck.
First we find the probability of drawing a 2
There are 4 cards that shows 2
Probability of drawing a 2 card fro 52 cards = 4 / 52
We know that P( not A) = 1 - P(A)
So the probability (not dealt a 2) = 1 - probability (dealt a 2)
= 1 - 4/52
= (52 - 4)/ 52 = 48/52
Now we simplify the fraction
48/ 52 = 12/13
Hence, the probability( not dealt a 2) = 12/13
Answer:
C. unlikely
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
A probability is said to be extremely likely if it is 95% or higher, and extremely unlikely if it is 5% or lower. A probabilty higher than 50% and lower than 95% is said to be likely, and higher than 5% and lower than 50% is said to be unlikely.
In this problem, we have that:

How likely is it that a single survey would return a mean of 30%?
We have to find the pvalue of Z when X = 0.30.



has a pvalue of 0.1587.
So the correct answer is:
C. unlikely