(3+3i) - (13+15i)
=3+3i-13-15i
=-10-12i
We are looking for the Zo score that corresponds to the 30th percentile.
We use the table for the standard normal distribution.
From P (Z <Zo) = 0.3 we search for Zo.
Then we look in the table for the value of Zo that corresponds to 0.3.
Hence, the approximate value is -0.53.
The option is the third
Answer:
a = 60°
Step-by-step explanation:
From the picture attached,
In the given triangle,
NE and ML are the perpendicular bisectors of two sides of the triangle.
Therefore, m∠MEK = m∠MLK = 90°
Since, sum of interior angles of polygon KLME = 360°
m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°
90° + 90° + 120° + a = 360°
a = 360° - 300°
a = 60°
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.
Therefore, the Nth term is 17 + 7N.
For example, the first term is 17 + 7*1 = 17 + 7 = 24.
The second term is 17 + 7*2 = 17 + 14 = 31
etc...
And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.

Now we can use the above formula

Therefore the exact interest on $5,870 at 12% is $410.9