when you simplify this you get 1/16x^8
Answer: $4,365.10
Step-by-step explanation:
Ok, we know that:
The account starts with $2350
There is a simple interest of 3.75% (or 0.035).
Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:
$2350 + 0.035*$2350 = (1.035)*$2350.
After another year, we have the same increase (but applied to the new amount in the account):
(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350
And so on.
You already can see the pattern here, the amount of money in the saving account after N years will be:
M(N) = $2350*(1.035)^N.
Now we can answer:
what is the balance of the account if it earns a simple interest of 3.75% for 18 years?
Just replace N by 18 in that equation:
M(18) = $2350*(1.035)^18 = $4,365.10
Answer: The population after 3 hours is 13.9 mill.
Step-by-step explanation:
When we have an exponential with:
A = initial population.
r = constant relative growth rate:
t = time.
The function that models this is:
P(t) = A*e^(k*t)
In this case we know that:
A = 3.9 mill.
r = 0.4225 1.
Then the function that models the population of this yeast cell is:
P(t) = (3.9 mill)*e^(0.4225*t)
where t represents the time in hours.
Then if we want to know the population after 3 hours, we should replace t by 3.
P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.
And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.
The population after 3 hours is 13.9 mill.
If we plot the data on the graph, we can see that the
data is skewed to the right (positive skew) and there is an outlier. In skewed
data and presence of outlier, the median is most commonly used measure of
central tendency. This is because a positive skew would result in a positive
bias to the mean. Meaning that it would be a lot larger than the median and not
really representing the actual central tendency. The median however is less
affected by the skew and outliers.
Answer: Median, because the data are skewed and there is
an outlier
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Answer:
1/2 pi
Step-by-step explanation:
This is 1/4 of a circle
Find the circumference and multiply by 1/4
1/4 C
1/4 ( 2*pi*r) where r is the radius
The radius is 1
1/2 pi*1
1/2 pi
