Sheldon would have $21,386, while Howard would have $20,073.
The equation for each of these will be in the form
,
where A is the total amount in the account, p is the principal invested, r is the interest rate expressed as a decimal number, and t is the amount of time.
For Sheldon:
A=15000(1+0.03)¹²=15000(1.03)¹²=21386.41≈21386
For Howard:
A=15000(1+0.06)⁵=15000(1.06)⁵=20073.38≈20073
Answer:
The median length of all pregnancies will be 266 days.
Step-by-step explanation:
We have been given that the length of human pregnancies varies normally with a mean of 266 days and a standard deviation of 16 days. We are asked to find the median length of all pregnancies.
We know that mean, median and mode all are equal for normal distribution.
Since we are told that the length of human pregnancies varies normally, therefore, the median length of all pregnancies will be same as mean that is 266 days.
The difference means subtract..
-17 - 9 = - 26
9514 1404 393
Answer:
no real solutions; k = ±i(2/3)√15
Step-by-step explanation:
If k is one of the roots, then substituting it for x will satisfy the equation:
k -4k -20/k = 0
Multiplying by k gives ...
-3k^2 -20 = 0
k^2 = -20/3 = -6 2/3
There are no real values of k such that this is true.
__
If we allow k to be imaginary, then ...
k = ±i√(20/3) = ±i(2/3)√15
Possible imaginary values of k are ±(2/3)√15.
Answer:
a. 0.51
Step-by-step explanation:
We solve this problem building the Venn's diagram of these probabilities.
I am going to say that:
A is the probability that a men is smart.
B is the probability that a men is funny.
C is the probability that a mean is neither of those.
We have that:
In which a is the probability that a men is smart but not funny and is the probability that a men is both of these things.
By the same logic, we have that:
The sum of the probabilities is decimal 1, so:
.
We want to find C. We find the values of each of these probabilities, starting from the intersection.
16% are both smart and funny. This means that
33% are funny. This means that . So
.
32% are smart. This means that . So
.
Now we find C
.
The correct answer is:
a. 0.51